Matrix Algorithms in MATLAB

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Focusing on the MATLAB code implementations of matrix algorithms, this book provides an overview and classification of the interrelations of various algorithms, as well as numerous examples to demonstrate code usage and the properties of the presented algorithms. --

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Title Statements

Full title :Matrix Algorithms in MATLAB / Ong U. Routh.

Summary

Edition Statements

Publication Date:2016.

Publication Statements

Publisher(s):Elsevier Science and Technology Books, Inc
Place of Publication:Place of publication not identified
Language:eng
Publication Date:2016.

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9780128038697, 0128038691
oclc:ocn959258599
LC Classification:QA185.D37
Dewey Decimal:512.5

Matrix Algorithms in MATLAB; Copyright; Table of Contents; List of Figures; List of Figures; Preface; License Terms; 1 Introduction; Introduction; 1.1 Elements of Linear Algebra; 1.1.1 Definitions; 1.1.2 Linear Independence and Related Concepts; 1.1.3 Solution of Linear Equations; 1.1.4 Solution of Eigenvalue Problem; 1.2 A Brief Introduction of MATLAB; 1.3 Types of Matrices; 1.3.1 Square vs. Non-Square Matrices; 1.3.2 Symmetric vs. Non-Symmetric Matrices; 1.3.3 Full Rank vs. Deficient Rank Matrices; 1.3.4 Singular vs. Non-Singular Matrices; 1.3.5 Orthogonal vs. Non-Orthogonal Matrices.

1.3.6 Defective vs. Non-Defective Matrices1.3.7 Positive (semi- )Definite vs. Positive Indefinite Matrices; 1.3.8 Zero Structured vs. Full Matrices; 1.4 Overview of Matrix Computations; 1.5 Reordering of Sparse Matrices; 1.6 Utility Codes; 2 Direct Algorithms of Decompositions of Matrices by Non-Orthogonal Transformations; Introduction; 2.1 Gauss Elimination Matrix; 2.2 LU Decomposition; 2.2.1 LU Decomposition by Gauss Elimination; 2.2.2 LU Decomposition by Crout Procedure; 2.2.3 Driver of LU Decomposition; 2.2.4 LU Decomposition of an Upper Hessenberg Matrix.

2.2.5 LU Decomposition of a Band Mat…