000			04108nam a22004813i 4500
001			EBC7104277
003			MiAaPQ
005			20240724115709.0
006			m o d |
007			cr cnu||||||||
008			240724s2015 xx o ||||0 eng d
020			_a9781118953686 _q(electronic bk.)
020			_z9781118953655
035			_a(MiAaPQ)EBC7104277
035			_a(Au-PeEL)EBL7104277
035			_a(OCoLC)1347025973
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA188 .S194 2016
082	0		_a512.9/434
100	1		_aSaff, Edward Barry.
245	1	0	_aFundamentals of Matrix Analysis with Applications.
250			_a1st ed.
264		1	_aNewark : _bJohn Wiley & Sons, Incorporated, _c2015.
264		4	_c©2015.
300			_a1 online resource (410 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aNew York Academy of Sciences Series
505	0		_aIntro -- Title Page -- Copyright Page -- Contents -- Preface -- PART I INTRODUCTION: THREE EXAMPLES -- Chapter 1 Systems of Linear Algebraic Equations -- 1.1 Linear Algebraic Equations -- 1.2 Matrix Representation of Linear Systems and the Gauss-Jordan Algorithm -- 1.3 The Complete Gauss Elimination Algorithm -- 1.4 Echelon Form and Rank -- 1.5 Computational Considerations -- 1.6 Summary -- Chapter 2 Matrix Algebra -- 2.1 Matrix Multiplication -- 2.2 Some Physical Applications of Matrix Operators -- 2.3 The Inverse and the Transpose -- 2.4 Determinants -- 2.5 Three Important Determinant Rules -- 2.6 Summary -- Group Projects for Part I -- A. LU Factorization -- B. Two-Point Boundary Value Problem -- C. Electrostatic Voltage -- D. Kirchhoff's Laws -- E. Global Positioning Systems -- F. Fixed-Point Methods -- PART II INTRODUCTION: THE STRUCTURE OF GENERAL SOLUTIONS TO LINEAR ALGEBRAIC EQUATIONS -- Chapter 3 Vector Spaces -- 3.1 General Spaces, Subspaces, and Spans -- 3.2 Linear Dependence -- 3.3 Bases, Dimension, and Rank -- 3.4 Summary -- Chapter 4 Orthogonality -- 4.1 Orthogonal Vectors and the Gram-Schmidt Algorithm -- 4.2 Orthogonal Matrices -- 4.3 Least Squares -- 4.4 Function Spaces -- 4.5 Summary -- Group Projects for Part II -- A. Rotations and Reflections -- B. Householder Reflectors -- C. Infinite Dimensional Matrices -- PART III INTRODUCTION: REFLECT ON THIS -- Chapter 5 Eigenvectors and Eigenvalues -- 5.1 Eigenvector Basics -- 5.2 Calculating Eigenvalues and Eigenvectors -- 5.3 Symmetric and Hermitian Matrices -- 5.4 Summary -- Chapter 6 Similarity -- 6.1 Similarity Transformations and Diagonalizability -- 6.2 Principle Axes and Normal Modes -- 6.3 Schur Decomposition and Its Implications -- 6.4 The Singular Value Decomposition -- 6.5 The Power Method and the QR Algorithm -- 6.6 Summary.
505	8		_aChapter 7 Linear Systems of Differential Equations -- 7.1 First-Order Linear Systems -- 7.2 The Matrix Exponential Function -- 7.3 The Jordan Normal Form -- 7.4 Matrix Exponentiation via Generalized Eigenvectors -- 7.5 Summary -- Group Projects for Part III -- A. Positive Definite Matrices -- B. Hessenberg Form -- C. Discrete Fourier Transform -- D. Construction of the SVD -- E. Total Least Squares -- F. Fibonacci Numbers -- Answers to Odd Numbered Exercises -- Index -- EULA.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aAlgebras, Linear.
650		0	_aEigenvalues.
650		0	_aMatrices.
650		0	_aOrthogonalization methods.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aSaff, Edward Barry _tFundamentals of Matrix Analysis with Applications _dNewark : John Wiley & Sons, Incorporated,c2015 _z9781118953655
797	2		_aProQuest (Firm)
830		0	_aNew York Academy of Sciences Series
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=7104277 _zClick to View
999			_c32995 _d32995