Matrix Computations

Author: Gene H. Golub
Publisher: JHU Press
ISBN: 9780801854149
Format: PDF, Docs
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"An invaluable reference book that should be in every university library." -- Image: Bulletin of the International Linear Algebra Society

Linear Algebra

Author: Fuzhen Zhang
Publisher: JHU Press
ISBN: 9780801898716
Format: PDF, Docs
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Students in beginning and seminar-type advanced linear algebra classes and those seeking to brush up on the topic will find Zhang’s plain discussions of the subject’s theories refreshing and the problems diverse, interesting, and challenging.

Matrix Methods

Author: Vadim Olshevsky
Publisher: World Scientific
ISBN: 9812836020
Format: PDF, Mobi
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Compared to other books devoted to matrices, this volume is unique in covering the whole of a triptych consisting of algebraic theory, algorithmic problems and numerical applications, all united by the essential use and urge for development of matrix methods. This was the spirit of the 2nd International Conference on Matrix Methods and Operator Equations from 23-27 July 2007 in Moscow that was organized by Dario Bini, Gene Golub, Alexander Guterman, Vadim Olshevsky, Stefano Serra-Capizzano, Gilbert Strang and Eugene Tyrtyshnikov. Matrix methods provide the key to many problems in pure and applied mathematics. However, linear algebra theory, numerical algorithms and matrices in FEM/BEM applications usually live as if in three separate worlds.In this volume, maybe for the first time ever, they are compiled together as one entity as it was at the Moscow meeting, where the algebraic part was impersonated by Hans Schneider, algorithms by Gene Golub, and applications by Guri Marchuk. All topics intervened in plenary sessions are specially categorized into three sections of this volume.The sole reason for the meeting was Gene Golub, who rendered a charming Golub''s dimension - to the three main axes of the conference topics. This volume is a dedication to his everlasting, bright and grateful memory as one of the preeminent numerical analysts of his generation.

A Second Course in Linear Algebra

Author: Stephan Ramon Garcia
Publisher: Cambridge University Press
ISBN: 1107103819
Format: PDF, Kindle
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A second course in linear algebra for undergraduates in mathematics, computer science, physics, statistics, and the biological sciences.

Stability of Linear Delay Differential Equations

Author: Dimitri Breda
Publisher: Springer
ISBN: 149392107X
Format: PDF, ePub, Docs
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This book presents the authors' recent work on the numerical methods for the stability analysis of linear autonomous and periodic delay differential equations, which consist in applying pseudospectral techniques to discretize either the solution operator or the infinitesimal generator and in using the eigenvalues of the resulting matrices to approximate the exact spectra. The purpose of the book is to provide a complete and self-contained treatment, which includes the basic underlying mathematics and numerics, examples from population dynamics and engineering applications, and Matlab programs implementing the proposed numerical methods. A number of proofs is given to furnish a solid foundation, but the emphasis is on the (unifying) idea of the pseudospectral technique for the stability analysis of DDEs. It is aimed at advanced students and researchers in applied mathematics, in dynamical systems and in various fields of science and engineering, concerned with delay systems. A relevant feature of the book is that it also provides the Matlab codes to encourage the readers to experience the practical aspects. They could use the codes to test the theory and to analyze the performances of the methods on the given examples. Moreover, they could easily modify them to tackle the numerical stability analysis of their own delay models.

The Evolution of the Use of Mathematics in Cancer Research

Author: Pedro Jose Gutiérrez Diez
Publisher: Springer Science & Business Media
ISBN: 146142397X
Format: PDF, ePub, Docs
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The book will provide an exhaustive and clear explanation of how Statistics, Mathematics and Informatics have been used in cancer research, and seeks to help cancer researchers in achieving their objectives. To do so, state-of-the-art Biostatistics, Biomathematics and Bioinformatics methods will be described and discussed in detail through illustrative and capital examples taken from cancer research work already published. The book will provide a guide for cancer researchers in using Statistics, Mathematics and Informatics, clarifying the contribution of these logical sciences to the study of cancer, thoroughly explaining their procedures and methods, and providing criteria to their appropriate use.