Matrix Computations

Author: Gene H. Golub
Publisher: JHU Press
ISBN: 1421407949
Size: 23.26 MB
Format: PDF, Mobi
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The fourth edition of Gene H. Golub and Charles F. Van Loan's classic is an essential reference for computational scientists and engineers in addition to researchers in the numerical linear algebra community. Anyone whose work requires the solution to a matrix problem and an appreciation of its mathematical properties will find this book to be an indispensible tool. This revision is a cover-to-cover expansion and renovation of the third edition. It now includes an introduction to tensor computations and brand new sections on • fast transforms• parallel LU• discrete Poisson solvers• pseudospectra• structured linear equation problems• structured eigenvalue problems• large-scale SVD methods• polynomial eigenvalue problems Matrix Computations is packed with challenging problems, insightful derivations, and pointers to the literature—everything needed to become a matrix-savvy developer of numerical methods and software.

Matrix Computations

Author: Gene H. Golub
Publisher: JHU Press
ISBN: 1421408597
Size: 39.24 MB
Format: PDF, Docs
View: 4678
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The fourth edition of Gene H. Golub and Charles F. Van Loan's classic is an essential reference for computational scientists and engineers in addition to researchers in the numerical linear algebra community. Anyone whose work requires the solution to a matrix problem and an appreciation of its mathematical properties will find this text useful and engaging. This revision is a cover-to-cover expansion and renovation of the third edition. It now includes an introduction to tensor computations and brand new sections on • fast transforms• parallel LU• discrete Poisson solvers• pseudospectra• structured linear equation problems• structured eigenvalue problems• large-scale SVD methods• polynomial eigenvalue problems Matrix Computations is packed with challenging problems, insightful derivations, and pointers to the literature—everything needed to become a matrix-savvy developer of numerical methods and software.

Matrix Computations

Author: Gene H. Golub
Publisher: JHU Press
ISBN: 9780801854149
Size: 22.64 MB
Format: PDF, ePub, Mobi
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"An invaluable reference book that should be in every university library." -- Image: Bulletin of the International Linear Algebra Society

Numerical Methods In Matrix Computations

Author: Åke Björck
Publisher: Springer
ISBN: 3319050893
Size: 29.68 MB
Format: PDF
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Matrix algorithms are at the core of scientific computing and are indispensable tools in most applications in engineering. This book offers a comprehensive and up-to-date treatment of modern methods in matrix computation. It uses a unified approach to direct and iterative methods for linear systems, least squares and eigenvalue problems. A thorough analysis of the stability, accuracy, and complexity of the treated methods is given. Numerical Methods in Matrix Computations is suitable for use in courses on scientific computing and applied technical areas at advanced undergraduate and graduate level. A large bibliography is provided, which includes both historical and review papers as well as recent research papers. This makes the book useful also as a reference and guide to further study and research work.

Numerical Linear Algebra

Author: Lloyd N. Trefethen
Publisher: SIAM
ISBN: 9780898719574
Size: 60.92 MB
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A concise, insightful, and elegant introduction to the field of numerical linear algebra. Designed for use as a stand-alone textbook in a one-semester, graduate-level course in the topic, it has already been class-tested by MIT and Cornell graduate students from all fields of mathematics, engineering, and the physical sciences. The authors' clear, inviting style and evident love of the field, along with their eloquent presentation of the most fundamental ideas in numerical linear algebra, make it popular with teachers and students alike.

Functions Of Matrices

Author: Nicholas J. Higham
Publisher: SIAM
ISBN: 0898717779
Size: 41.15 MB
Format: PDF
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A thorough and elegant treatment of the theory of matrix functions and numerical methods for computing them, including an overview of applications, new and unpublished research results, and improved algorithms. Key features include a detailed treatment of the matrix sign function and matrix roots; a development of the theory of conditioning and properties of the Fre;chet derivative; Schur decomposition; block Parlett recurrence; a thorough analysis of the accuracy, stability, and computational cost of numerical methods; general results on convergence and stability of matrix iterations; and a chapter devoted to the f(A)b problem. Ideal for advanced courses and for self-study, its broad content, references and appendix also make this book a convenient general reference. Contains an extensive collection of problems with solutions and MATLAB implementations of key algorithms.

Applied Numerical Linear Algebra

Author: James W. Demmel
Publisher: SIAM
ISBN: 0898713897
Size: 29.79 MB
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This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.

Fundamentals Of Matrix Computations

Author: David S. Watkins
Publisher: John Wiley & Sons Inc
ISBN: 9780471614142
Size: 51.81 MB
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With in-depth discussions of such other topics as modern componentwise error analysis, reorthogonalization, and rank-one updates of the QR decomposition, Fundamentals of Matrix Computations, Second Edition will prove to be a versatile companion to novice and practicing mathematicians who seek mastery of matrix computation.

Matrix Iterative Analysis

Author: Richard S. Varga
Publisher: Springer Science & Business Media
ISBN: 3642051561
Size: 67.11 MB
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This book is a revised version of the first edition, regarded as a classic in its field. In some places, newer research results have been incorporated in the revision, and in other places, new material has been added to the chapters in the form of additional up-to-date references and some recent theorems to give readers some new directions to pursue.

Accuracy And Stability Of Numerical Algorithms

Author: Nicholas J. Higham
Publisher: SIAM
ISBN: 9780898718027
Size: 45.49 MB
Format: PDF, Mobi
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Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.