Numerical Matrix Analysis

Numerical Matrix Analysis
Author :
Publisher : SIAM
Total Pages : 135
Release :
ISBN-10 : 9780898716764
ISBN-13 : 0898716764
Rating : 4/5 (64 Downloads)

Synopsis Numerical Matrix Analysis by : Ilse C. F. Ipsen

Matrix analysis presented in the context of numerical computation at a basic level.

The Theory of Matrices in Numerical Analysis

The Theory of Matrices in Numerical Analysis
Author :
Publisher : Courier Corporation
Total Pages : 274
Release :
ISBN-10 : 9780486145631
ISBN-13 : 0486145638
Rating : 4/5 (31 Downloads)

Synopsis The Theory of Matrices in Numerical Analysis by : Alston S. Householder

This text presents selected aspects of matrix theory that are most useful in developing computational methods for solving linear equations and finding characteristic roots. Topics include norms, bounds and convergence; localization theorems; more. 1964 edition.

Applications of the Theory of Matrices

Applications of the Theory of Matrices
Author :
Publisher : Courier Corporation
Total Pages : 336
Release :
ISBN-10 : 9780486445540
ISBN-13 : 0486445542
Rating : 4/5 (40 Downloads)

Synopsis Applications of the Theory of Matrices by : F. R. Gantmacher

The breadth of matrix theory's applications is reflected by this volume, which features material of interest to applied mathematicians as well as to control engineers studying stability of a servo-mechanism and numerical analysts evaluating the roots of a polynomial. Starting with a survey of complex symmetric, antisymmetric, and orthogonal matrices, the text advances to explorations of singular bundles of matrices and matrices with nonnegative elements. Applied mathematicians will take particular note of the full and readable chapter on applications of matrix theory to the study of systems of linear differential equations, and the text concludes with an exposition on the Routh-Hurwitz problem plus several helpful appendixes. 1959 edition.

Matrix Analysis

Matrix Analysis
Author :
Publisher : Springer Science & Business Media
Total Pages : 360
Release :
ISBN-10 : 9781461206538
ISBN-13 : 1461206537
Rating : 4/5 (38 Downloads)

Synopsis Matrix Analysis by : Rajendra Bhatia

This book presents a substantial part of matrix analysis that is functional analytic in spirit. Topics covered include the theory of majorization, variational principles for eigenvalues, operator monotone and convex functions, and perturbation of matrix functions and matrix inequalities. The book offers several powerful methods and techniques of wide applicability, and it discusses connections with other areas of mathematics.

Matrices

Matrices
Author :
Publisher : Springer Science & Business Media
Total Pages : 215
Release :
ISBN-10 : 9780387227580
ISBN-13 : 038722758X
Rating : 4/5 (80 Downloads)

Synopsis Matrices by : Denis Serre

Clear and concise introduction to matrices with elegant proofs; Of interest to scientists from many disciplines; Gives many interesting applications to different parts of mathematics, such as algebra, analysis and complexity theory; Contains 160 exercises, half of them on advanced material; Includes at least one advanced result per chapter

Matrix Theory

Matrix Theory
Author :
Publisher : Courier Corporation
Total Pages : 319
Release :
ISBN-10 : 9780486136387
ISBN-13 : 0486136388
Rating : 4/5 (87 Downloads)

Synopsis Matrix Theory by : Joel N. Franklin

Mathematically rigorous introduction covers vector and matrix norms, the condition-number of a matrix, positive and irreducible matrices, much more. Only elementary algebra and calculus required. Includes problem-solving exercises. 1968 edition.

Matrix Algebra

Matrix Algebra
Author :
Publisher : Springer Science & Business Media
Total Pages : 536
Release :
ISBN-10 : 9780387708720
ISBN-13 : 0387708723
Rating : 4/5 (20 Downloads)

Synopsis Matrix Algebra by : James E. Gentle

Matrix algebra is one of the most important areas of mathematics for data analysis and for statistical theory. This much-needed work presents the relevant aspects of the theory of matrix algebra for applications in statistics. It moves on to consider the various types of matrices encountered in statistics, such as projection matrices and positive definite matrices, and describes the special properties of those matrices. Finally, it covers numerical linear algebra, beginning with a discussion of the basics of numerical computations, and following up with accurate and efficient algorithms for factoring matrices, solving linear systems of equations, and extracting eigenvalues and eigenvectors.

Special Matrices and Their Applications in Numerical Mathematics

Special Matrices and Their Applications in Numerical Mathematics
Author :
Publisher : Courier Corporation
Total Pages : 386
Release :
ISBN-10 : 9780486783482
ISBN-13 : 0486783480
Rating : 4/5 (82 Downloads)

Synopsis Special Matrices and Their Applications in Numerical Mathematics by : Miroslav Fiedler

This revised and corrected second edition of a classic on special matrices provides researchers in numerical linear algebra and students of general computational mathematics with an essential reference. 1986 edition.

Functions of Matrices

Functions of Matrices
Author :
Publisher : SIAM
Total Pages : 445
Release :
ISBN-10 : 9780898717778
ISBN-13 : 0898717779
Rating : 4/5 (78 Downloads)

Synopsis Functions of Matrices by : Nicholas J. Higham

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.

Matrix Theory

Matrix Theory
Author :
Publisher : Springer Science & Business Media
Total Pages : 290
Release :
ISBN-10 : 9781475757972
ISBN-13 : 1475757972
Rating : 4/5 (72 Downloads)

Synopsis Matrix Theory by : Fuzhen Zhang

This volume concisely presents fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. Each chapter focuses on the results, techniques, and methods that are beautiful, interesting, and representative, followed by carefully selected problems. For many theorems several different proofs are given. The only prerequisites are a decent background in elementary linear algebra and calculus.