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Dissertations / Theses on the topic 'Hybrid conjugate gradient method'

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Published: 4 June 2021

Last updated: 27 July 2025

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1

Touati-Ahmed, Djamal. "A study of hybrid conjugate gradient methods." Thesis, Loughborough University, 1989. https://dspace.lboro.ac.uk/2134/13698.

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The main subject of the research in this thesis is the study of conjugate gradient methods for optimization and the development of improved algorithms. After an introductory first chapter, Chapter 2 contains a background of numerical methods for optimization in general and of conjugate gradient-type algorithms in particular. In Chapter 3 we study the convergence properties of conjugate gradient methods and discuss Powell's (1983) counter example that proves that there exist twice continuously differentiable functions with bounded level sets for which the Polak-Ribiere method fails to achieve g

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2

Mohammadi, Seyed A. "A numerical study of some hybrid conjugate gradient methods in optimal control." Thesis, Loughborough University, 1995. https://dspace.lboro.ac.uk/2134/27361.

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The main work of this thesis is concerned with the comparison of conjugate gradient with hybrid conjugate gradient methods when they are applied to optimal control problems. Descriptions of the conjugate gradient. and hybrid conjugate gradient methods, for general optimisation, in finite and infinite dimensions are also given. The numerical methods for solving the differential equations and the line searches required in the optimisation are discussed next.

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3

Snežana, Đorđević. "Izbor parametara kod gradijentnih metoda za probleme optimizacije bez ograničenja." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2015. https://www.cris.uns.ac.rs/record.jsf?recordId=94106&source=NDLTD&language=en.

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Posmatra se problem optimizacije bez ograničenja. Za re&scaron;avanjeproblema  optimizacije bez ograničenja postoji mno&scaron;tvo raznovrsnihmetoda. Istraživanje ovde motivisano je potrebom za metodama kojeće brzo konvergirati.Cilj je sistematizacija poznatih rezultata, kao i teorijska i numeričkaanaliza mogućnosti uvođenja parametra u gradijentne metode.Najpre se razmatra problem minimizacije konveksne funkcije vi&scaron;epromenljivih.Problem minimizacije konveksne funkcije vi&scaron;e promenljivih ovde sere&scaron;ava bez izračunavanja matrice hesijana, &scaron;to je naročito aktuelno

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4

Kopp, A. M., and D. L. Orlovskyi. "Business process model optimization using the conjugate gradient method." Thesis, Одеська національна академія харчових технологій, 2019. http://repository.kpi.kharkov.ua/handle/KhPI-Press/47102.

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This paper describes a model and a procedure of business process model optimization using the nonlinear conjugate gradient method. The research is based on business process modeling rules for BPMN (Business Process Model and Notation) as the de-facto standard for business process diagrams. Essential errors of business process modeling are outlined, as well as the metric used to define these shortcomings is denoted. Obtained results of business process model optimization are demonstrated.

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Michaud-Rioux, Vincent. "Real space DFT by locally optimal block preconditioned conjugate gradient method." Thesis, McGill University, 2012. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=110628.

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In condensed matter physics, atomistic first principle calculations are often necessary to achieve a microscopic understanding of the observed experimental phenomena and to make quantitative predictions of physical properties. In practice, atomic scale systems have irregularities (e.g. surface roughness) or defects (e.g. substitutional atoms or vacancies) that are too strong to be ignored or treated as small perturbations. In this thesis, we report the development of a real space DFT code for studying atomic scale systems from first principles. Our code, named MatRcal, which stands for "Matlab

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Pester, M., and S. Rjasanow. "A parallel version of the preconditioned conjugate gradient method for boundary element equations." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800455.

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The parallel version of precondition techniques is developed for matrices arising from the Galerkin boundary element method for two-dimensional domains with Dirichlet boundary conditions. Results were obtained for implementations on a transputer network as well as on an nCUBE-2 parallel computer showing that iterative solution methods are very well suited for a MIMD computer. A comparison of numerical results for iterative and direct solution methods is presented and underlines the superiority of iterative methods for large systems.

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7

MOSQUEIRA, DANIEL HUAMAN. "THE HYBRID BOUNDARY ELEMENT METHOD FOR GRADIENT ELASTICITY PROBLEMS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2013. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=23938@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO<br>Atualmente está bem difundido o uso de novas modelagens matemáticas para o estudo do comportamento de micro e nano sistemas mecânicos e eléctricos. O problema de escala é notável quando o tamanho das moléculas, partículas, grãos ou cristais de um sólido é relativamente considerável em relação ao comprimento do microdispositivo. Nesses casos a teoria clássica dos meios contínuos não descreve apropriadamente a solicitação estrutural e é necessária uma abordagem mais geral atravé

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BUENO, ANDRE LUIS CAVALCANTI. "SOLVING LARGE SYSTEMS OF LINEAR EQUATIONS ON MULTI-GPU CLUSTERS USING THE CONJUGATE GRADIENT METHOD IN OPENCLTM." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2013. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=22099@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>Sistemas de equações lineares esparsos e de grande porte aparecem como resultado da modelagem de vários problemas nas engenharias. Dada sua importância, muitos trabalhos estudam métodos para a resolução desses sistemas. Esta dissertação explora o potencial computacional de múltiplas GPUs, utilizando a tecnologia OpenCL, com a finalidade de resolver sistemas de equações lineares de grande porte. Na metodologia proposta, o método do gradiente conjugado é subdivido em kernels que

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Habbestad, Torstein. "An FPGA-based implementation of the Conjugate Gradient Method used to solve Large Dense Systems of Linear Equations." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for elektronikk og telekommunikasjon, 2011. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-15403.

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To find the solution to large dense systems have always been a very time consuming problem, this thesis tries to accelerate this problem by implementing an highly pipelined conjugate gradient method on an FPGA, it has been used to solve dense systems of linear equations and has been tested and compared to a software version of the algorithm. The FPGA where capable of utilizing 90 % of the available memory bandwidth, in addition it is shown that the FPGA implemented Conjugate Gradient Method can be 30x faster compared to a custom made Conjugate Gradient method in software.

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10

Barajas, Leandro G. "Process Control in High-Noise Environments Using A Limited Number Of Measurements." Diss., Georgia Institute of Technology, 2003. http://hdl.handle.net/1853/7741.

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The topic of this dissertation is the derivation, development, and evaluation of novel hybrid algorithms for process control that use a limited number of measurements and that are suitable to operate in the presence of large amounts of process noise. As an initial step, affine and neural network statistical process models are developed in order to simulate the steady-state system behavior. Such models are vitally important in the evaluation, testing, and improvement of all other process controllers referred to in this work. Afterwards, fuzzy logic controller rules are assimilated into a mathe

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11

Masuda, Ryuichi. "A comparative study of the algebraic reconstruction technique and the constrained conjugate gradient method as applied to cross borehole geophysical tomography." Ohio : Ohio University, 1989. http://www.ohiolink.edu/etd/view.cgi?ohiou1182444036.

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12

Solov'ëv, Sergey I. "Preconditioned iterative methods for monotone nonlinear eigenvalue problems." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200600657.

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This paper proposes new iterative methods for the efficient computation of the smallest eigenvalue of the symmetric nonlinear matrix eigenvalue problems of large order with a monotone dependence on the spectral parameter. Monotone nonlinear eigenvalue problems for differential equations have important applications in mechanics and physics. The discretization of these eigenvalue problems leads to ill-conditioned nonlinear eigenvalue problems with very large sparse matrices monotone depending on the spectral parameter. To compute the smallest eigenvalue of large matrix nonlinear eigenvalue probl

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13

Sato, Hiroyuki. "Riemannian Optimization Algorithms and Their Applications to Numerical Linear Algebra." 京都大学 (Kyoto University), 2013. http://hdl.handle.net/2433/180615.

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El-Ghajiji, Otman Abubaker. "Investigations into the suitability of parallel computing architectures for the solution of large sparse matrices using the preconditioned conjugate gradient method." Thesis, University of Bath, 1995. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.299647.

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15

Gayzik, Francis Scott. "Optimal Control of Thermal Damage to Biological Materials." Thesis, Virginia Tech, 2003. http://hdl.handle.net/10919/35087.

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Hyperthermia is a cancer treatment modality that raises cancerous tissue to cytotoxic temperature levels for roughly 30 to 45 minutes. Hyperthermia treatment planning refers to the use of computational models to optimize the heating protocol to be used in a hyperthermia treatment. This thesis presents a method to optimize a hyperthermia treatment heating protocol. An algorithm is developed which recovers a heating protocol that will cause a desired amount of thermal damage within a region of tissue. The optimization algorithm is validated experimentally on an albumen tissue phantom.<p> The tra

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Gayzik, F. Scott. "Optimal Control of Thermal Damage to Biological Materials." Thesis, Virginia Tech, 2004. http://hdl.handle.net/10919/35087.

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Hyperthermia is a cancer treatment modality that raises cancerous tissue to cytotoxic temperature levels for roughly 30 to 45 minutes. Hyperthermia treatment planning refers to the use of computational models to optimize the heating protocol to be used in a hyperthermia treatment. This thesis presents a method to optimize a hyperthermia treatment heating protocol. An algorithm is developed which recovers a heating protocol that will cause a desired amount of thermal damage within a region of tissue. The optimization algorithm is validated experimentally on an albumen tissue phantom. The tra

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17

Strauss, Arne Karsten. "Numerical Analysis of Jump-Diffusion Models for Option Pricing." Thesis, Virginia Tech, 2006. http://hdl.handle.net/10919/33917.

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Jump-diffusion models can under certain assumptions be expressed as partial integro-differential equations (PIDE). Such a PIDE typically involves a convection term and a nonlocal integral like for the here considered models of Merton and Kou. We transform the PIDE to eliminate the convection term, discretize it implicitly using finite differences and the second order backward difference formula (BDF2) on a uniform grid. The arising dense linear system is solved by an iterative method, either a splitting technique or a circulant preconditioned conjugate gradient method. Exploiting the Fast Four

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Cakir, Emre. "The Use Of Wavelet Type Basis Functions In The Mom Analysis Of Microstrip Structures." Master's thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/2/12605639/index.pdf.

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The Method of Moments (MoM) has been used extensively to solve electromagnetic problems. Its popularity is largely attributed to its adaptability to structures with various shapes and success in predicting the equivalent induced currents accurately. However, due to its dense matrix, especially for large structures, the MoM suffers from long matrix solution time and large storage requirement. In this thesis it is shown that use of wavelet basis functions result in a MoM matrix which is sparser than the one obtained by using traditional basis functions. A new wavelet system, different from the o

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19

Salisbury, Shaun M. "A Method for Characterizing the Properties of Industrial Foams." Diss., CLICK HERE for online access, 2005. http://contentdm.lib.byu.edu/ETD/image/etd990.pdf.

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20

Luckshetty, Harish Kumar. "Space-Time Finite Element Analysis on Graphics Processing Unit Computing Platform." University of Cincinnati / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1331296560.

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21

Said, Jamal. "Simulation numerique d'ecoulements de fluides non newtoniens en configuration axisymetrique." Paris 6, 1988. http://www.theses.fr/1988PA066523.

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Simulation par une methode d'elements finis en employant un algorithme base sur la methode du lagrangien augmente avec projection. La non linearite est traitee localement et les problemes globaux que l'on resout sont lineaires

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22

Carlsson, Fredrik. "Utilizing Problem Structure in Optimization of Radiation Therapy." Doctoral thesis, Stockholm : Matematik, Kungliga Tekniska högskolan, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4689.

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23

Wakrim, Mohamed. "Analyse numérique des équations de Navier-Stokes incompressibles et simulations dans des domaines axisymétriques." Saint-Etienne, 1993. http://www.theses.fr/1993STET4015.

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Dans cette thèse, on a développé une méthode numérique pour la simulation des écoulements de fluides à nombre de Reynolds élevé, utilisant deux types d'éléments finis. On a établi la convergence de l'algorithme d'Uzawa en formulation de Petrov-Galerkin et on a étudié l'élément fini de Crouzeix-Raviart en formulation de Petrov-Galerkin. Pour finir, on a construit un préconditionneur du CGS pour une formulation couplée

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24

Karlsson, Christian. "A comparison of two multilevel Schur preconditioners for adaptive FEM." Thesis, Uppsala universitet, Avdelningen för beräkningsvetenskap, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-219939.

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There are several algorithms for solving the linear system of equations that arise from the finite element method with linear or near-linear computational complexity. One way is to find an approximation of the stiffness matrix that is such that it can be used in a preconditioned conjugate residual method, that is, a preconditioner to the stiffness matrix. We have studied two preconditioners for the conjugate residual method, both based on writing the stiffness matrix in block form, factorising it and then approximating the Schur complement block to get a preconditioner. We have studied the sta

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25

Chen, Min. "Excitation optimale d'un systeme parabolique en vue de son identification." Nantes, 1987. http://www.theses.fr/1987NANT2050.

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Le systeme considere est de type parabolique non lineaire. On montre l'existence et l'unicite de la solution du systeme et on le resoud numeriquement. On utilise les methodes d'optimisation du gradient conjugue et de gauss-newton pour l'identification des parametres avec l'excitation du systeme donnee puis on determine l'excitation optimale pour l'estimation des parametres dans le cas ou les parametres sont fonction de l'etat

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Mukkananchery, Abey. "Iterative Methods for the Reconstruction of Tomographic Images with Unconventional Source-detector Configurations." VCU Scholars Compass, 2005. http://scholarscompass.vcu.edu/etd/1244.

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X-ray computed tomography (CT) holds a critical role in current medical practice for the evaluation of patients, particularly in the emergency department and intensive care units. Expensive high resolution stationary scanners are available in radiology departments of most hospitals. In many situations however, a small, inexpensive, portable CT unit would be of significant value. Several mobile or miniature CT scanners are available, but none of these systems have the range, flexibility or overall physical characteristics of a truly portable device. The main challenge is the design of a geometr

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Hadjou, Tayeb. "Analyse numérique des méthodes de points intérieurs : simulations et applications." Rouen, 1996. http://www.theses.fr/1996ROUES062.

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La thèse porte sur une étude à la fois théorique et pratique des méthodes de points intérieurs pour la programmation linéaire et la programmation quadratique convexe. Dans une première partie, elle donne une introduction aux méthodes de points intérieurs pour la programmation linéaire, décrit les outils de base, classifie et présente d'une façon unifiée les différentes méthodes. Elle présente dans la suite un exposé des algorithmes de trajectoire centrale pour la programmation linéaire et la programmation quadratique convexe. Dans une seconde partie sont étudiées des procédures de purification

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Zoltan, Pap. "Projektivni postupci tipa konjugovanih gradijenata za rešavanje nelinearnih monotonih sistema velikih dimenzija." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2019. https://www.cris.uns.ac.rs/record.jsf?recordId=110614&source=NDLTD&language=en.

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U disertaciji su posmatrani projektivni postupci tipa konjugovanih gradijenata za re&scaron;avanje nelinearnih monotonih sistema velikih dimenzija. Ovi postupci kombinuju projektivnu metodu sa pravcima pretraživanja tipa konjugovanih gradijenata. Zbog osobine monotonosti sistema, projektivna metoda omogućava jednostavnu globalizaciju, a pravci pretraživanja tipa konjugovanih gradijenata zahtevaju maloračunarske memorije pa su pogodni za re&scaron;avanje sistema velikih dimenzija. Projektivni postupci tipa konjugovanih gradijenata ne koriste izvode niti funkciju cilja i zasnovani su samo na izr

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29

Malandain, Mathias. "Simulations massivement parallèles des écoulements turbulents à faible nombre de Mach." Phd thesis, INSA de Rouen, 2013. http://tel.archives-ouvertes.fr/tel-00834845.

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L'objectif de cette thèse est l'accélération des solveurs de Gradient Conjugué avec déflation utilisés pour la résolution de l'équation de Poisson pour la pression, dans le cas de la simulation d'écoulements à faible nombre de Mach sur des maillages non structurés. Une méthode de redémarrage basée sur une estimation de l'effet des erreurs numériques a été mise en œuvre et validée. Par la suite, une méthode à trois niveaux de maillage a été créée, et deux techniques ont dû être développées pour réduire le nombre d'itérations sur les niveaux grossiers : l'une permet la création de solutions init

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Biehl, Scheila Valechenski. "Uma nova abordagem para resolução de problemas de fluxo de carga com variáveis discretas." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/18/18154/tde-14052012-103104/.

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Este trabalho apresenta uma nova abordagem para a modelagem e resolução de problemas de fluxo de carga em sistemas elétricos de potência. O modelo proposto é formado simultaneamente pelo conjunto de equações não lineares que representam as restrições de carga do problema e por restrições de complementaridade associadas com as restrições de operação da rede, as quais propiciam o controle implícito das tensões nas barras com controle de geração. Também é proposta uma técnica para a obtenção dos valores discretos dos taps de tranformadores, de maneira que o ajuste dessas variáveis possa ser reali

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31

Tran, Thanh phong. "Stratégies de commande pour déplacer une meute de capteurs dédiés à l'identification de sources chauffantes mobiles." Thesis, Angers, 2017. http://www.theses.fr/2017ANGE0015/document.

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De nombreux systèmes physiques complexes sont modélisés à l’aide de systèmes d’équations aux dérivées partielles comprenant éventuellement des couplages et des non linéarités. Dans ce cadre, les problématiques de commande qui cherchent à définir quels sont les moyens d’actions (éventuellement en dimension infinie) permettant d’atteindre un état désiré ne sont pas triviales.Il en est de même pour l’identification en ligne de caractéristiques du système physique à partir d’informations fournies par des observations pertinentes. Cet aspect est souvent considéré comme un problème inverse dont la r

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Ferraz, Paola Cunha 1988. "Implementação de um algoritmo multi-escala para sistemas de equações lineares de grande porte mal condicionados provenientes da discretização de problemas elípticos em dinâmica de fluidos em meios porosos." [s.n.], 2015. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307022.

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Orientador: Eduardo Cardoso de Abreu<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-26T22:28:13Z (GMT). No. of bitstreams: 1 Ferraz_PaolaCunha_M.pdf: 6535346 bytes, checksum: 5f9c9ba53cd3e63fc60c09c90ad2c625 (MD5) Previous issue date: 2015<br>Resumo: O foco deste trabalho é aproximação numérica de problemas envolvendo equações diferenciais parciais (EDPs), de natureza elíptica, no contexto de aplicações em dinâmica de fluidos em meios porosos. Especificamente, a dissertação pret

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Abenius, Erik. "Direct and Inverse Methods for Waveguides and Scattering Problems in the Time Domain." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-6013.

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Gaspar, Jonathan. "Fluxmétrie et caractérisation thermiques instationnaires des dépôts des composants face au plasma du Tokamak JET par techniques inverses." Thesis, Aix-Marseille, 2013. http://www.theses.fr/2013AIXM4739/document.

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Ces travaux portent sur la résolution successive de deux problèmes inverses en transferts thermiques : l'estimation de la densité de flux en surface d'un matériau puis de la conductivité thermique équivalente d'une couche déposée en surface de ce matériau. Le modèle direct est bidimensionnel orthotrope (géométrie réelle d'un matériau composite), instationnaire, non-linéaire et ses équations sont résolues par éléments finis. Les matériaux étudiés sont les composants face au plasma (tuiles composite carbone-carbone) dans le Tokamak JET. La densité de flux recherchée varie avec une dimension spat

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GONG, RUI-TANG, and 龔瑞堂. "Incomplete cholesky conjugate gradient method." Thesis, 1986. http://ndltd.ncl.edu.tw/handle/70141407010242375900.

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Chen, Wei-Cheng, and 陳為正. "Polynomial Preconditioners for Conjugate Gradient Method." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/72023941025486293715.

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碩士<br>輔仁大學<br>數學系<br>82<br>In this research, we consider solving sparse linear system Au=b by methods constructed from polynomials with special properties. We proposed Nuemann polynomial method (NP method), F'ejer kernel method (FK method), and Dirichlet kernel method (DK method). Restarted technique is used to speed up the convergence, thus deduced NP(m), FK(m), and DK(m) methods. Moreover, such methods can be applied to solve a preconditioned system inverse(Q)Ax= inverse(Q)b$ where kappa

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何偉光. "Preconditioned conjugate gradient method on the supercomputer." Thesis, 1992. http://ndltd.ncl.edu.tw/handle/28552616048164525926.

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Luen, Jian Kai, and 簡凱倫. "A Note on Left Conjugate Gradient Method." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/49896760462111596133.

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碩士<br>高雄師範大學<br>數學系<br>98<br>For solving the linear systems of equations Ax=b, Conjugate Gradient Method is an efficient method when the matrix A is symmetric positive definite. Recently, Left Conjugate Gradient (LCG) Method is proposed to solve nonsymmetric linear systems of equations. we will have a further study of the method LCG in this thesis.

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Inoue, Takao. "Modified conjugate gradient method for ADSL echo cancellation." Thesis, 1998. http://hdl.handle.net/1957/33930.

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In recent years, high speed data communications over twisted pair cables has gained tremendous demand. Asymmetric Digital Subscriber Line (ADSL) was standardized for use over twisted pair cables. A critical component in ADSL system is the echo canceller which is intended to discriminate unwanted echo signals caused by twisted pair interface circuit called the hybrid. An echo signal is characterized by the hybrid and the line type the hybrid is connected to. Recently, there has been a great concern that the echo signal displays wide variations when the twisted pair cable is shared with a teleph

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Liao, PaoKuan, and 廖堡寬. "On the Generalized Conjugate Gradient Orthogonal Residual Method." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/51320456719946701524.

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碩士<br>輔仁大學<br>數學系研究所<br>91<br>In this thesis, we study the generalized conjugate gradient orthogonal residual method (GORES method). It differs from some generalized conjugate gradient methods (GCG methods) on that it uses all the previous search directions at each step, and the method has some advantages over the others. First, it requires storage of only one set of linearly growing number of vectors. Second, at each step, there is only one vector, the residual vector, which must be updated using all the vecors in this set. And third, it is similar to the generalized minimum residual method (

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Hong, Jialing, and 洪佳鈴. "Using Conjugate Gradient Method for Routing in WSNs." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/91422475397879582875.

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碩士<br>國立中正大學<br>資訊工程研究所<br>100<br>We discuss the routing path from macroscopic view in wireless sensor network, it unlike the previous graphical ways. We consider the whole range with global optimization. The routing problem can be described a partial differential equations (PDEs) by mathematical analysis, then we use finite difference method to find the approximation solution of PDEs, to find the liner equations in the rule. Liner equations can be solved by Gauss-Seidel Iteration and Conjugate gradient method, and we option the routing path for load balance. Conjugate gradient method is one o

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TANG, JIA-ZHONG, and 湯嘉中. "A multitasking preconditioning conjugate gradient method for linear systems." Thesis, 1989. http://ndltd.ncl.edu.tw/handle/18559665642406092204.

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Shen, Tzung-Tza, and 沈宗澤. "Training Artificial Neural Network Using Genetic Algorithm and Conjugate Gradient Method." Thesis, 2001. http://ndltd.ncl.edu.tw/handle/18262883491045855458.

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碩士<br>國立成功大學<br>航空太空工程學系<br>89<br>The purpose of this study is to combine the conjugate gradient method(CG) and the genetic algorithm(GA) for the training of artificial neural networks(ANN). The back-propagation artificial neural network is a broadly used artificial neural network in many areas. It usually adopts the steepest descent method(SD) to search for a set of connection weights that minimizes the training error. But the convergence of the steepest descent method is very slow and easy to trap into a local optimal. In order to speed up the convergence, the conjugate gradient method searc

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Lu, Ming-Te, and 魯銘德. "Windows Programming of Feedforward Neural Network by Conjugate Gradient Training Method." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/839pzx.

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碩士<br>國立臺北科技大學<br>化學工程所<br>94<br>Developing a free windows program of feedforward neural network is the object of our laboratory. The training methods in the former programs are the Momentum Back propagation algorithm or the Variable Learning Rate Back propagation algorithm. The training rate is slow and it takes much time to reach convergence. The conjugate gradient training method is studied to speed up the training rate in this research. Unlike the conventional algorithms, the data were not trained one-by-one. The data were batch trained. It is shown that the convergence rate is speede

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Cheng-Peng, Yu, and 余政蓬. "Study of precondition conjugate gradient method on 3-D finite element problems." Thesis, 1995. http://ndltd.ncl.edu.tw/handle/15095905105272734301.

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碩士<br>國立成功大學<br>機械工程研究所<br>83<br>Solving linear system Ku=f is very common in engineering problems, The algorithm to solve linear system falls into about two classes: direct solution method and iteration solution method. To reduce the execution time, precondition conjugate gradient method is studied in this paper. Solving a large engineering problem will spend a lot of computer time, consequently, how to increase the convergence rate and minimize solving time is so important in finite eleme

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Guo, Yao-Chong, and 郭耀崇. "The study of SSOR preconditioned conjugate gradient method on personal computer clusters." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/4fe576.

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碩士<br>國立成功大學<br>機械工程學系碩博士班<br>90<br>Finite element method has been widely used in engineering applications. A set of linear equations has to be solved to get the approximate solutions. This calculation spent most of the compution time . Two well known iterative methods are applied to solve this linear equations. They are the Jacobi conjugate gradient method and the SSOR conjugate gradient method. When we use SSOR conjugate gradient method, we need to solve upper and lower triangular matrices which are very difficult to be paralleized. In this paper, we use a new vertical domain cutting proce

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Λάλος, Αριστείδης. "Αποδοτικές τεχνικές προσαρμοστικής ισοστάθμισης διαύλου βασισμένες στη μέθοδο Conjugate Gradient". 2005. http://nemertes.lis.upatras.gr/jspui/handle/10889/128.

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Η χρήση επαναληπτικών τεχνικών προσαρμοστικής ισοστάθμισης διαύλου αποτελεί μια σχετικά πρόσφατη και πολλά υποσχόμενη μέθοδο αντιμετώπισης του φαινομένου της διασυμβολικής παρεμβολής που εισάγεται από το κανάλι λόγω του φαινομένου της πολυδιόδευσης. Ο αλγόριθμος που έχει επικρατήσει στις περισσότερες προσαρμοστικές εφαρμογές είναι ο ελαχίστων μέσων τετραγώνων (LMS). Διακρίνεται για την απλότητά του, έχει όμως φτωχές ιδιότητες σύγκλισης. Η μέθοδος των αναδρομικών ελαχίστων τετραγώνων (RLS) είναι επίσης αρκετά διαδεδομένη και κατέχει υπερέχουσες ιδιότητες σύγκλισης. Ωστόσο παρουσιάζει μεγάλη υπο

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Liu, Pan-Chih, and 劉泮志. "Conjugate Gradient Method for Determinating Convection Heat Transfer Coefficient of a Heat Exchanger." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/upf2gj.

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碩士<br>逢甲大學<br>機械工程學所<br>90<br>ABSTRACT In this dissertation, the conjugate gradient method is used to determine convection heat transfer coefficient of plate finned tube heat exchanger with vortex generators. The infrared thermo vision exercise of measure heat exchanger’s surface temperature. Next, use in personal scribe program about conjugate gradient method. Therefore to count heat transfer coefficient of plate finned tube heat exchanger with vortex generators convection. As a result to compare with an experiment to test and verify convection heat transfer coefficient is proper or not. And

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Quan-HuiChen and 陳權輝. "Optimal Design of a Pulse-Tube Stirling Engine by Simplified Conjugate Gradient Method." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/89989533836983152298.

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碩士<br>國立成功大學<br>航空太空工程學系<br>103<br>In this study, simplified conjugate gradient method is utilized for investigation of optimal performance of a pulse-tube Stirling engine. Design of new parameter is searched for optimization by the theoretical model. The optimal analysis not only searches simple power or thermal efficiency but seeks for both power output and thermal efficiency at the same time in the optimization. Adding the weighting ratio into the objective function, a result for the multi-objective condition can be tested and verified by simplified conjugate gradient method. By combining

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"A hybrid incremental gradient method for least squares problems." Massachusetts Institute of Technology, Laboratory for Information and Decision Systems], 1994. http://hdl.handle.net/1721.1/3385.

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