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Relevant bibliographies by topics / Two-by-two block matrices

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Academic literature on the topic 'Two-by-two block matrices'

Author: Grafiati

Published: 4 June 2021

Last updated: 12 February 2022

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Journal articles on the topic "Two-by-two block matrices"

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Bai, Zheng-Jian, and Zhong-Zhi Bai. "On nonsingularity of block two-by-two matrices." Linear Algebra and its Applications 439, no. 8 (2013): 2388–404. http://dx.doi.org/10.1016/j.laa.2013.06.004.

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Wu, Shi-Liang, and Cui-Xia Li. "Block Preconditioners for Complex Symmetric Linear System with Two-by-Two Block Form." Mathematical Problems in Engineering 2015 (2015): 1–9. http://dx.doi.org/10.1155/2015/618380.

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Based on the previous work by Zhang and Zheng (A parameterized splitting iteration method for complex symmetric linear systems, Japan J. Indust. Appl. Math., 31 (2014) 265–278), three block preconditioners for complex symmetric linear system with two-by-two block form are presented. Spectral properties of the preconditioned matrices are discussed in detail. It is shown that all the eigenvalues of the preconditioned matrices are well-clustered. Numerical experiments are reported to illustrate the efficiency of the proposed preconditioners.

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Yan, Hui-Yin, and Yu-Mei Huang. "Splitting-based block preconditioning methods for block two-by-two matrices of real square blocks." Applied Mathematics and Computation 243 (September 2014): 825–37. http://dx.doi.org/10.1016/j.amc.2014.06.040.

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Xu, Wei-wei. "On eigenvalue bounds of two classes of two-by-two block indefinite matrices." Applied Mathematics and Computation 219, no. 12 (2013): 6669–79. http://dx.doi.org/10.1016/j.amc.2012.12.048.

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Bai, Zhong-Zhi. "Structured preconditioners for nonsingular matrices of block two-by-two structures." Mathematics of Computation 75, no. 254 (2005): 791–816. http://dx.doi.org/10.1090/s0025-5718-05-01801-6.

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Lang, Chao, and Zhi-Ru Ren. "Inexact rotated block triangular preconditioners for a class of block two-by-two matrices." Journal of Engineering Mathematics 93, no. 1 (2013): 87–98. http://dx.doi.org/10.1007/s10665-013-9674-1.

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Wu, Xianping, Wen Li, and Xiaofei Peng. "Some Refined Eigenvalue Perturbation Bounds for Two-by-Two Block Hermitian Matrices." East Asian Journal on Applied Mathematics 5, no. 2 (2015): 126–37. http://dx.doi.org/10.4208/eajam.201114.150315a.

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AbstractWe consider eigenvalue perturbation bounds for Hermitian matrices, which are associated with problems arising in various computational science and engineering applications. New bounds are discussed that are sharper than some existing ones, including the well-known Weyl bound. Two numerical examples are investigated, to illustrate our theoretical presentation.

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Axelsson, Owe, and Maya Neytcheva. "A general approach to analyse preconditioners for two-by-two block matrices." Numerical Linear Algebra with Applications 20, no. 5 (2011): 723–42. http://dx.doi.org/10.1002/nla.830.

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Bai, Zhong-zhi. "Construction and analysis of structured preconditioners for block two-by-two matrices." Journal of Shanghai University (English Edition) 8, no. 4 (2004): 397–405. http://dx.doi.org/10.1007/s11741-004-0050-2.

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Wang, Hongxing. "Some equivalent conditions for block two-by-two matrices to be nonsingular." Applied Mathematics and Computation 249 (December 2014): 142–46. http://dx.doi.org/10.1016/j.amc.2014.10.047.

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Dissertations / Theses on the topic "Two-by-two block matrices"

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Boyanova, Petia. "On Numerical Solution Methods for Block-Structured Discrete Systems." Doctoral thesis, Uppsala universitet, Avdelningen för beräkningsvetenskap, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-173530.

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The development, analysis, and implementation of efficient methods to solve algebraic systems of equations are main research directions in the field of numerical simulation and are the focus of this thesis. Due to their lesser demands for computer resources, iterative solution methods are the choice to make, when very large scale simulations have to be performed. To improve their efficiency, iterative methods are combined with proper techniques to accelerate convergence. A general technique to do this is to use a so-called preconditioner. Constructing and analysing various preconditioning meth

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Book chapters on the topic "Two-by-two block matrices"

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Axelsson, Owe. "Preconditioners for Some Matrices of Two-by-Two Block Form, with Applications, I." In Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7172-1_3.

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Neytcheva, Maya, Minh Do-Quang, and He Xin. "Element-by-Element Schur Complement Approximations for General Nonsymmetric Matrices of Two-by-Two Block Form." In Large-Scale Scientific Computing. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-12535-5_11.

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Dyall, Kenneth G., and Knut Faegri. "Matrices and Wave Functions under Double-Group Symmetry." In Introduction to Relativistic Quantum Chemistry. Oxford University Press, 2007. http://dx.doi.org/10.1093/oso/9780195140866.003.0016.

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Symmetry is one of the most versatile theoretical tools of physics and chemistry. It provides qualitative insight into the wave functions and properties of systems, and it has also been used successfully to obtain great savings in computational efforts. In the preceding chapter we examined time-reversal symmetry, and now we turn to the more familiar point-group symmetry. We show how relativity requires special consideration and extensions of the concepts developed for the nonrelativistic case, and how time-reversal symmetry and double-group symmetry are connected. Although the techniques that incorporate double-group symmetry presented here are primarily aimed at four-component calculations, they are equally applicable to two-component calculations in which the spin-dependent operators are included at the SCF stage of a calculation. In the preceding chapter, we have shown how the use of time-reversal symmetry can lead to considerable reduction in the number of unique matrix elements that appear in the operator expressions. However, we are also interested in the overall structure of the matrices of the operators. In particular, we are interested in possible block structures, where classes of matrix elements may be set to zero a priori. If the matrices can be cast in block diagonal form, we may save on storage as well as computational effort in solving eigenvalue problems, for example. Matrix blocking will already be effected by the point-group symmetry of the molecule.

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Khalgui, Mohamed, and Olfa Mosbahi. "Reconfigurable Embedded Control Systems." In Reconfigurable Embedded Control Systems. IGI Global, 2011. http://dx.doi.org/10.4018/978-1-60960-086-0.ch010.

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The chapter deals with distributed multi-agent reconfigurable embedded control systems following the component-based International Industrial Standard IEC61499 in which a Function Block (abbreviated by FB) is an event-triggered software component owning data and a control application is a distributed network of Function Blocks that have classically to satisfy functional and to meet temporal properties described in user requirements. The authors define a new reconfiguration semantic where a crucial criterion to consider is the automatic improvement of the system’s performance at run-time, in addition to its protection when hardware faults occur. To handle all possible cases in industry, the authors classify thereafter the reconfiguration scenarios into three forms before the authors define an architecture of reconfigurable multi-agent systems where a Reconfiguration Agent is affected to each device of the execution environment to apply local reconfigurations, and a Coordination Agent is proposed for any coordination between devices in order to guarantee safe and adequate distributed reconfigurations. A Communication Protocol is proposed in our research work to handle coordinations between agents by using well-defined Coordination Matrices. The authors specify both the reconfiguration agents to be modelled by nested state machines, and the Coordination Agent according to the formalism Net Condition/Event Systems (Abbreviated by NCES) which is an extension of Petri nets. To verify the whole architecture, the author check by applying the model checker SESA in each device functional and temporal properties described in the temporal logic “Computation Tree Logic”, but the authors have also to check any coordination between devices by verifying that whenever a reconfiguration is applied in a device, the Coordination Agent and other concerned devices should react as described in user requirements. The chapter’s contributions are applied to two Benchmark Production Systems available in our research laboratory.

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Kobayashi, Shiro, Soo-Ik Oh, and Taylan Altan. "Three-Dimensional Problems." In Metal Forming and the Finite-Element Method. Oxford University Press, 1989. http://dx.doi.org/10.1093/oso/9780195044027.003.0017.

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A majority of the finished products made by metal forming are geometrically complex and the metal flow involved is of a three-dimensional nature. Thus, any analysis technique will become more useful in industrial applications if it is capable of solving three-dimensional metal-flow problems. Nagpal and Altan introduced dual-stream functions for describing metal flow in three dimensions. This work showed that the proper selection of a flow function makes the incompressibility requirement automatically satisfied and provides general kinematically admissible velocity fields. Yang and Lee utilized the conformal transformation of a unit circle onto a cross-section in the analysis of curved die extrusion. They derived the stream-line equation from which a kinematically admissible velocity field was determined. The upper-bound method was then applied to determine the extrusion pressure for a rigid-perfectly plastic material. An important aspect of three-dimensional plastic deformation is the analysis of spread in metal-forming operations, such as spread in rolling or in flat tool forging, and spread in compression of noncircular disks. Solutions to such problems have been obtained by the use of Hill’s general method and the upper-bound method. The extension of the finite-element method to solve three-dimensional problems is natural and not new, particularly in the area of elasticity. However, the simulation of three-dimensional forming operations by the finite-element method is relatively recent. Park and Kobayashi described the formulation for the three-dimensional rigid-plastic finite-element method and the implementation of the boundary conditions. They applied this technique to the analysis of block compression between two parallel flat platens. For certain forming problems, such as those involving lateral spread, the use of a simplified three-dimensional element is efficient and some examples can be found for analysis of spread in rolling and flat tool forging. The matrices for evaluation of elemental stiffness equations are defined for a three-dimensional brick element in Chap. 6 and some of them are recapitulated in this section. A three-dimensional brick element used for the analysis is an eight-node hexahedral isoparametric element.

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Conference papers on the topic "Two-by-two block matrices"

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Kaisare, Abhijit, Dereje Agonafer, A. Haji-Sheikh, Greg Chrysler, and Ravi Mahajan. "Approximate Analytical Model for a First Level Package With Non-Uniformly Powered Die." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-13436.

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Microprocessors continue to grow in capabilities, complexity and performance. Microprocessors typically integrate functional components such as logic and level two (L2) cache memory in their architecture. This functional integration of logic and memory results in improved performance of the microprocessor as the clock speed increases and the instruction execution time has decreased. However, the integration also introduces a layer of complexity to the thermal design and management of microprocessors. As a direct result of function integration, the power map on a microprocessor is typically hig

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Andrade, Matheus Guedes de, Franklin De Lima Marquezino, and Daniel Ratton Figueiredo. "Characterizing the Relationship Between Unitary Quantum Walks and Non-Homogeneous Random Walks." In Concurso de Teses e Dissertações da SBC. Sociedade Brasileira de Computação, 2021. http://dx.doi.org/10.5753/ctd.2021.15756.

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Quantum walks on graphs are ubiquitous in quantum computing finding a myriad of applications. Likewise, random walks on graphs are a fundamental building block for a large number of algorithms with diverse applications. While the relationship between quantum and random walks has been recently discussed in specific scenarios, this work establishes a formal equivalence between the two processes on arbitrary finite graphs and general conditions for shift and coin operators. It requires empowering random walks with time heterogeneity, where the transition probability of the walker is non-uniform a

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Ohama, Iku, Takuya Kida, and Hiroki Arimura. "Discovering Relevance-Dependent Bicluster Structure from Relational Data." In Twenty-Sixth International Joint Conference on Artificial Intelligence. International Joint Conferences on Artificial Intelligence Organization, 2017. http://dx.doi.org/10.24963/ijcai.2017/359.

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In this paper, we propose a statistical model for relevance-dependent biclustering to analyze relational data. The proposed model factorizes relational data into bicluster structure with two features: (1) each object in a cluster has a relevance value, which indicates how strongly the object relates to the cluster and (2) all clusters are related to at least one dense block. These features simplify the task of understanding the meaning of each cluster because only a few highly relevant objects need to be inspected. We introduced the Relevance-Dependent Bernoulli Distribution (R-BD) as a prior

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Paschereit, Christian Oliver, Bruno Schuermans, Wolfgang Polifke, and Oscar Mattson. "Measurement of Transfer Matrices and Source Terms of Premixed Flames." In ASME 1999 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/99-gt-133.

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An experimental method to determine the thermoacoustic properties of a gas turbine combustor using a lean-premixed low emission swirl stabilized burner is presented. To model thermoacoustic oscillations, a combustion system can be described as a network of acoustic elements, representing for example fuel and air supply, burner and flame, combustor, cooling channels, suitable terminations, etc. For most of these elements, simple analytical models provide an adequate description of their thermoacoustic properties. However, the complex response of burner and flame (involving a three-dimensional f

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Tiu, Johnny, and Richard Bachoo. "WAVE ANALYSIS OF A L-BEAM STRUCTURE WITH A BLOCKING MASS." In International Conference on Emerging Trends in Engineering & Technology (IConETech-2020). Faculty of Engineering, The University of the West Indies, St. Augustine, 2020. http://dx.doi.org/10.47412/ewgf2313.

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The wave vibration approach regards the vibrations present within a structure as waves, whereby each wave flows along a structural member and upon meeting a discontinuity; portions of the incident wave are reflected and transmitted across the discontinuity. The reflected, transmitted and propagating wave transformations are represented mathematically by matrices, which are used to develop a set of wave relation equations at each discontinuity that can be used to describe the frequency response of the system holistically. This method creates a systematic approach of analysing structures by util

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Zhou, Xu, and Mayank Tyagi. "Evaluation of Singular Value Decomposition (SVD) Enhanced Upscaling in Reservoir Simulation." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-19259.

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Abstract Reservoir upscaling is an important step in reservoir modeling for converting highly detailed geological models to simulation grids. It substitutes a heterogeneous model that consists of high-resolution fine grid cells with a lower resolution reduced-dimension homogeneous model using averaging schemes. Its objective is to use a coarse grid model to represent a fine grid model, thus to reduce simulation time. The benefit of upscaling in reservoir simulation is that it efficiently saves simulation time, and effectively preserves key features of data for flow simulation. Singular Vector

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