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Rozprawy doktorskie na temat „Iterative methods (Mathematics)”

Autor: Grafiati

Data publikacji: 4 czerwca 2021

Data aktualizacji: 1 sierpnia 2024

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1

McKay, Melanie. "Iterative methods for incompressible flow." Thesis, University of Ottawa (Canada), 2009. http://hdl.handle.net/10393/28063.

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The goal of this thesis is to illustrate the effectiveness of iterative methods on the discretized Navier Stokes equations. The standard lid-driven cavity in both 2-D and 3-D test cases are examined and compared with published results of the same type. The numerical results are obtained by reducing the partial differential equations (PDEs) to a system of algebraic equations with a stabilized P1-P1 Finite Element Method (FEM) in space. Gear's Backward Difference Formula (BDF2) and an adaptive time stepping scheme utilizing a first order Backward Euler (BE) startup and BDF2 are then utilized to

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2

Kwan, Chun-kit, and 關進傑. "Fast iterative methods for image restoration." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2000. http://hub.hku.hk/bib/B31224520.

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3

Karelius, Fanny. "Stationary iterative methods : Five methods and illustrative examples." Thesis, Karlstads universitet, Institutionen för matematik och datavetenskap (from 2013), 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-69711.

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Systems of large sparse linear equations frequently arise in engineering and science. Therefore, there is a great need for methods that can solve these systems. In this thesis we will present three of the earliest and simplest iterative methods and also look at two more sophisticated methods. We will study their rate of convergence and illustrate them with examples.

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4

Kwan, Chun-kit. "Fast iterative methods for image restoration /." Hong Kong : University of Hong Kong, 2000. http://sunzi.lib.hku.hk:8888/cgi-bin/hkuto%5Ftoc%5Fpdf?B22956281.

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5

Ho, Ching-wah. "Iterative methods for the Robbins problem /." Hong Kong : University of Hong Kong, 2000. http://sunzi.lib.hku.hk/hkuto/record.jsp?B22054789.

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6

何正華 and Ching-wah Ho. "Iterative methods for the Robbins problem." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2000. http://hub.hku.hk/bib/B31222572.

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7

Sivaloganathan, S. "Iterative methods for large sparse systems of equations." Thesis, University of Oxford, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.370302.

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8

Roberts, Harriet. "Preconditioned iterative methods on virtual shared memory machines." Thesis, This resource online, 1994. http://scholar.lib.vt.edu/theses/available/etd-07292009-090522/.

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9

須成忠 and Cheng-zhong Xu. "Iterative methods for dynamic load balancing in multicomputers." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1993. http://hub.hku.hk/bib/B31233302.

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10

Xu, Cheng-zhong. "Iterative methods for dynamic load balancing in multicomputers /." [Hong Kong : University of Hong Kong], 1993. http://sunzi.lib.hku.hk/hkuto/record.jsp?B13458905.

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11

Ho, Man-Kiu, and 何文翹. "Iterative methods for non-hermitian positive semi-definite systems." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2004. http://hub.hku.hk/bib/B30289403.

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12

Bängtsson, Erik. "Robust preconditioned iterative solution methods for large-scale nonsymmetric problems." Licentiate thesis, Uppsala universitet, Avdelningen för teknisk databehandling, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-86353.

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We study robust, preconditioned, iterative solution methods for large-scale linear systems of equations, arising from different applications in geophysics and geotechnics. The first type of linear systems studied here, which are dense, arise from a boundary element type of discretization of crack propagation in brittle material. Numerical experiment show that simple algebraic preconditioning strategies results in iterative schemes that are highly competitive with a direct solution method. The second type of algebraic systems are nonsymmetric and indefinite and arise from finite element discret

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13

Katsaggelos, Aggelos Konstantinos. "Constrained iterative image restoration algorithms." Diss., Georgia Institute of Technology, 1985. http://hdl.handle.net/1853/15830.

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14

Ambrus, Gergely Bezdek András. "Iterative processes generating dense point sets." Auburn, Ala., 2006. http://repo.lib.auburn.edu/EtdRoot/2006/SPRING/Mathematics_and_Statistics/Thesis/AMBRUS_GERGELY_20.pdf.

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15

Yao, Ning. "Iterative algorithms for channel estimation and equalization /." View abstract or full-text, 2005. http://library.ust.hk/cgi/db/thesis.pl?ELEC%202005%20YAO.

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16

Li, Ching-Chang. "Use of iterative techniques for the rigid-viscoplastic finite element analysis." Ohio : Ohio University, 1986. http://www.ohiolink.edu/etd/view.cgi?ohiou1183139974.

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17

Reuter, Laurie Hodges. "Rendering and magnification of fractals using iterated function systems." Diss., Georgia Institute of Technology, 1987. http://hdl.handle.net/1853/8250.

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18

Ng, Kwok-po, and 吳國寶. "Fast iterative methods for solving Toeplitz and Toeplitz-like systems." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1992. http://hub.hku.hk/bib/B31210946.

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19

Ng, Kwok-po. "Fast iterative methods for solving Toeplitz and Toeplitz-like systems /." [Hong Kong] : University of Hong Kong, 1992. http://sunzi.lib.hku.hk/hkuto/record.jsp?B13340372.

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20

Imberti, David M. "Methods for increasing domains of convergence in iterative linear system solvers." Thesis, Purdue University, 2014. http://pqdtopen.proquest.com/#viewpdf?dispub=3613148.

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<p> In this thesis, we introduce and improve various methods for increasing the domains of convergence for iterative linear system solvers. We rely on the following three approaches: making the iteration adaptive, or nesting an inner iteration inside of a previously determined outer iteration; using deflation and projections to manipulate the spectra inherent to the iteration; and/or focusing on reordering schemes. We will analyze a specific combination of these three strategies. In particular, we propose to examine the influence of nesting a Flexible Generalized Minimum Residual algorithm tog

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21

McQuain, William D. "Preconditioned iterative methods for highly sparse, nonsymmetric, unstructured linear algebra problems." Thesis, This resource online, 1992. http://scholar.lib.vt.edu/theses/available/etd-09052009-040457/.

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22

Kei, Chun-Ling. "Efficient complexity reduction methods for short-frame iterative decoding /." View Abstract or Full-Text, 2002. http://library.ust.hk/cgi/db/thesis.pl?ELEC%202002%20KEI.

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Thesis (M. Phil.)--Hong Kong University of Science and Technology, 2002.<br>Includes bibliographical references (leaves 86-91). Also available in electronic version. Access restricted to campus users.

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23

Zhang, Ping. "Iterative Methods for Computing Eigenvalues and Exponentials of Large Matrices." UKnowledge, 2009. http://uknowledge.uky.edu/gradschool_diss/789.

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In this dissertation, we study iterative methods for computing eigenvalues and exponentials of large matrices. These types of computational problems arise in a large number of applications, including mathematical models in economics, physical and biological processes. Although numerical methods for computing eigenvalues and matrix exponentials have been well studied in the literature, there is a lack of analysis in inexact iterative methods for eigenvalue computation and certain variants of the Krylov subspace methods for approximating the matrix exponentials. In this work, we proposed an inex

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24

Zhao, Jun. "Analysis of finite element approximation and iterative methods for time-dependent Maxwell problems." Texas A&M University, 2002. http://hdl.handle.net/1969/582.

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25

Ali, Ali Hasan. "Modifying Some Iterative Methods for Solving Quadratic Eigenvalue Problems." Wright State University / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=wright1515029541712239.

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26

Paul, Baldine-Brunel. "Video Compression based on iterated function systems." Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/13553.

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27

Galbraith, Steven Douglas. "Iterations of elliptic curves." Thesis, Georgia Institute of Technology, 1991. http://hdl.handle.net/1853/28620.

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28

King, James F. "Dimension characteristics for invariant measures." Diss., Georgia Institute of Technology, 1991. http://hdl.handle.net/1853/28788.

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29

Massopust, Peter Robert. "Space curves generated by iterated function systems." Diss., Georgia Institute of Technology, 1986. http://hdl.handle.net/1853/29339.

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30

Hardin, Douglas Patten. "Hyperbolic iterated function systems and applications." Diss., Georgia Institute of Technology, 1985. http://hdl.handle.net/1853/30864.

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31

Safoutin, Michael John. "A methodology for empirical measurement of iteration in engineering design processes /." Thesis, Connect to this title online; UW restricted, 2003. http://hdl.handle.net/1773/7111.

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32

Simonis, Joseph P. "A numerical study of globalizations of Newton-GMRES methods." Link to electronic thesis, 2003. http://www.wpi.edu/Pubs/ETD/Available/etd-0430103-103501.

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33

Shepherd, David. "Optimisation of iterative multi-user receivers using analytical tools /." View thesis entry in Australian Digital Theses Program, 2008. http://thesis.anu.edu.au/public/adt-ANU20081114.221408/index.html.

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34

Choi, Yan-yu. "Residual Julia sets of Newton's maps and Smale's problems on the efficiency of Newton's method." Click to view the E-thesis via HKUTO, 2006. http://sunzi.lib.hku.hk/hkuto/record/B37680948.

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35

Choi, Yan-yu, and 蔡欣榆. "Residual Julia sets of Newton's maps and Smale's problems on the efficiency of Newton's method." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2006. http://hub.hku.hk/bib/B37680948.

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36

Maines, N. D. "Preconditioned iterative methods for the boundary element solution of a hypersingular integral equation." Thesis, University of Salford, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.308202.

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37

Ahmad, Ab Rahman bin. "The AGE iterative methods for solving large linear systems occurring in differential equations." Thesis, Loughborough University, 1993. https://dspace.lboro.ac.uk/2134/32905.

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The work presented in this thesis is wholly concerned with the Alternating Group Explicit (AGE) iterative methods for solving large linear systems occurring in solving Ordinary and Partial Differential Equations (ODEs and PDEs) using finite difference approximations.

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38

O'Neal, Jerome W. "The use of preconditioned iterative linear solvers in interior-point methods and related topics." Diss., Available online, Georgia Institute of Technology, 2005, 2005. http://etd.gatech.edu/theses/available/etd-06242005-162854/.

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Thesis (Ph. D.)--Industrial and Systems Engineering, Georgia Institute of Technology, 2006.<br>Parker, R. Gary, Committee Member ; Shapiro, Alexander, Committee Member ; Nemirovski, Arkadi, Committee Member ; Green, William, Committee Member ; Monteiro, Renato, Committee Chair.

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39

Neuman, Arthur James III. "Regularization Methods for Ill-posed Problems." Kent State University / OhioLINK, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=kent1273611079.

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40

Li, Ningzhi. "The convergence envelope for iterative estimation in SS-PARSE." Birmingham, Ala. : University of Alabama at Birmingham, 2008. https://www.mhsl.uab.edu/dt/2008m/li.pdf.

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41

Pang, Hong Kui. "New numerical methods and analysis for Toeplitz matrices with financial applications." Thesis, University of Macau, 2011. http://umaclib3.umac.mo/record=b2492157.

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42

Chidume, Chukwudi Soares de Souza Geraldo. "Iteration methods for approximation of solutions of nonlinear equations in Banach spaces." Auburn, Ala., 2008. http://repo.lib.auburn.edu/EtdRoot/2008/SUMMER/Mathematics_and_Statistics/Dissertation/Chidume_Chukwudi_33.pdf.

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43

Bai, Xianglan. "Non-Krylov Non-iterative Subspace Methods For Linear Discrete Ill-posed Problems." Kent State University / OhioLINK, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=kent1627042947894919.

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44

Gauthier, Guy 1960. "Terminal iterative learning for cycle-to-cycle control of industrial processes." Thesis, McGill University, 2008. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=115909.

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The objective of this thesis is to study a cycle-to-cycle control approach called Terminal Iterative Learning Control (TILC) and apply it to the process of plastic sheet heating in a thermoforming oven. Until now, adjustments to the oven heater temperature setpoints have been made manually by a human operator following a trial and error approach. This approach causes financial losses, because plastic sheets are wasted during the period of time when the adjustments are made at the beginning of a production run. Worse, the heater setpoints are subject to modification because of variation in the

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45

Snyder, Jason Edward Urbaʹnski Mariusz. "The global structure of iterated function systems." [Denton, Tex.] : University of North Texas, 2009. http://digital.library.unt.edu/permalink/meta-dc-9917.

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46

Yang, Tao Electrical Engineering &amp Telecommunications Faculty of Engineering UNSW. "Performance of iterative detection and decoding for MIMO-BICM systems." Awarded by:University of New South Wales. School of Electrical Engineering and Telecommunications, 2006. http://handle.unsw.edu.au/1959.4/26197.

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Multiple-input multiple-output (MIMO) wireless technology is an emerging cost- effective approach to offer multiple-fold capacity improvement relative to the conven- tional single-antenna systems. To achieve the capacities of MIMO channels, MIMO bit-interleaved-coded-modulation (BICM) systems with iterative detection and decod- ing (IDD) are studied in this thesis. The research for this dissertation is conducted based on the iterative receivers with convolutional codes and turbo codes. A variety of MIMO detectors, such as a maximum a posteriori probability (MAP) detector, a list sphere detecto

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47

Zhao, Yaxi. "Numerical solutions of nonlinear parabolic problems using combined-block iterative methods /." Electronic version (PDF), 2003. http://dl.uncw.edu/etd/2003/zhaoy/yaxizhao.pdf.

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48

Pornsawad, Pornsarp, and Christine Böckmann. "Modified iterative Runge-Kutta-type methods for nonlinear ill-posed problems." Universität Potsdam, 2014. http://opus.kobv.de/ubp/volltexte/2014/7083/.

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This work is devoted to the convergence analysis of a modified Runge-Kutta-type iterative regularization method for solving nonlinear ill-posed problems under a priori and a posteriori stopping rules. The convergence rate results of the proposed method can be obtained under Hölder-type source-wise condition if the Fréchet derivative is properly scaled and locally Lipschitz continuous. Numerical results are achieved by using the Levenberg-Marquardt and Radau methods.

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49

Liu, Fang. "Numerical solutions of nonlinear elliptic problem using combined-block iterative methods /." Electronic version (PDF), 2003. http://dl.uncw.edu/etd/2003/liuf/fangliu.pdf.

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50

Vines, Greg. "Signal modeling with iterated function systems." Diss., Georgia Institute of Technology, 1993. http://hdl.handle.net/1853/13315.

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