Contributions to the Solution of Systems of Linear Equations and the Determination of Eigenvalues

Contributions to the Solution of Systems of Linear Equations and the Determination of Eigenvalues PDF Author: Olga Taussky
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 152

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Contributions to the Solution of Systems of Linear Equations and the Determination of Eigenvalues

Contributions to the Solution of Systems of Linear Equations and the Determination of Eigenvalues PDF Author: Olga Taussky
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 152

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KWIC Index for Numerical Algebra

KWIC Index for Numerical Algebra PDF Author: Alston Scott Householder
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 552

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Introduction to Matrix Analysis

Introduction to Matrix Analysis PDF Author: Richard Bellman
Publisher: SIAM
ISBN: 0898713994
Category : Mathematics
Languages : en
Pages : 424

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Book Description
Lucid and concise, this volume covers all the key aspects of matrix analysis and presents a variety of fundamental methods.

Bounds for the Eigenvalues of a Matrix

Bounds for the Eigenvalues of a Matrix PDF Author: Kenneth R. Garren
Publisher:
ISBN:
Category : Eigenvalues
Languages : en
Pages : 52

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Basic Theorems in Matrix Theory

Basic Theorems in Matrix Theory PDF Author: Marvin Marcus
Publisher:
ISBN:
Category : Matrices
Languages : en
Pages : 42

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The Theory of Matrices in Numerical Analysis

The Theory of Matrices in Numerical Analysis PDF Author: Alston S. Householder
Publisher: Courier Corporation
ISBN: 0486145638
Category : Mathematics
Languages : en
Pages : 274

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Book Description
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.

National Bureau of Standards Report

National Bureau of Standards Report PDF Author: United States. National Bureau of Standards
Publisher:
ISBN:
Category : Weights and measures
Languages : en
Pages : 536

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AFOSR.

AFOSR. PDF Author: United States. Air Force. Office of Scientific Research
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 1190

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Geršgorin and His Circles

Geršgorin and His Circles PDF Author: Richard S. Varga
Publisher: Springer Science & Business Media
ISBN: 3540211004
Category : Mathematics
Languages : en
Pages : 241

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Book Description
"Contains numerous simple examples and illustrative diagrams....For anyone seeking information about eigenvalue inclusion theorems, this book will be a great reference." --Mathematical Reviews This book studies the original results, and their extensions, of the Russian mathematician S.A. Geršgorin who wrote a seminal paper in 1931 on how to easily obtain estimates of all n eigenvalues (characteristic values) of any given n-by-n complex matrix.

Toeplitz and Circulant Matrices

Toeplitz and Circulant Matrices PDF Author: Robert M. Gray
Publisher: Now Publishers Inc
ISBN: 1933019239
Category : Computers
Languages : en
Pages : 105

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Book Description
The fundamental theorems on the asymptotic behavior of eigenvalues, inverses, and products of banded Toeplitz matrices and Toeplitz matrices with absolutely summable elements are derived in a tutorial manner. Mathematical elegance and generality are sacrificed for conceptual simplicity and insight in the hope of making these results available to engineers lacking either the background or endurance to attack the mathematical literature on the subject. By limiting the generality of the matrices considered, the essential ideas and results can be conveyed in a more intuitive manner without the mathematical machinery required for the most general cases. As an application the results are applied to the study of the covariance matrices and their factors of linear models of discrete time random processes. The fundamental theorems on the asymptotic behavior of eigenvalues, inverses, and products of banded Toeplitz matrices and Toeplitz matrices with absolutely summable elements are derived in a tutorial manner. Mathematical elegance and generality are sacrificed for conceptual simplicity and insight in the hope of making these results available to engineers lacking either the background or endurance to attack the mathematical literature on the subject. By limiting the generality of the matrices considered, the essential ideas and results can be conveyed in a more intuitive manner without the mathematical machinery required for the most general cases. As an application the results are applied to the study of the covariance matrices and their factors of linear models of discrete time random processes.