Fundamentals of Matrix Analysis with Applications. (Record no. 32995)
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| 000 -LEADER | |
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| fixed length control field | 04108nam a22004813i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC7104277 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240724115709.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2015 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781118953686 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781118953655 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC7104277 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL7104277 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1347025973 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA188 .S194 2016 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.9/434 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Saff, Edward Barry. |
| 245 10 - TITLE STATEMENT | |
| Title | Fundamentals of Matrix Analysis with Applications. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Newark : |
| Name of producer, publisher, distributor, manufacturer | John Wiley & Sons, Incorporated, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2015. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2015. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (410 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | New York Academy of Sciences Series |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- 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# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Chapter 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 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic 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 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Algebras, Linear. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Eigenvalues. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Matrices. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Orthogonalization methods. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Saff, Edward Barry |
| Title | Fundamentals of Matrix Analysis with Applications |
| Place, publisher, and date of publication | Newark : John Wiley & Sons, Incorporated,c2015 |
| International Standard Book Number | 9781118953655 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | New York Academy of Sciences Series |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=7104277">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=7104277</a> |
| Public note | Click to View |
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