Matrix Calculus. (Record no. 44355)
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| fixed length control field | 06014nam a22004453i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC1888531 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729123249.0 |
| 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 | 240724s2014 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781483274980 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781483232140 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC1888531 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL1888531 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr10999859 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaONFJC)MIL679137 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)898422304 |
| 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 | QA263.B56 1959eb |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Bodewig, E. |
| 245 10 - TITLE STATEMENT | |
| Title | Matrix Calculus. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 3rd ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | San Diego : |
| Name of producer, publisher, distributor, manufacturer | Elsevier Science & Technology, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2014. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©1959. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (465 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 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Front Cover -- Matrix Calculus -- Copyright Page -- Table of Contents -- Dedication -- PREFACE -- PART I: MATRIX CALCULUS -- CHAPTER I. VECTORS -- 1.1. EQUATION OF A PLANE -- CHAPTER II. MATRICES -- CHAPTER 3. FURTHER APPLICATIONS -- CHAPTER 4. MEASURES OF THE MAGNITUDE OF A MATRIX -- CHAPTER 5. FORMS -- CHAPTER 6. EIGENVALUES -- 6.1. MODAL-MATRIX, SPECTRAL-MATRIX -- 6.2. THE CHARACTERISTIC EQUATION -- 6.3. RELATIONS BETWEEN Sp, N, |A|, λi -- 6.4. EIGENROWS -- 6.5. EXTREMUM PROPERTIES OF THE EIGENVALUES -- 6.6. BOUNDS FOR THE EIGENVALUES -- 6.7. BOUNDS FOR THE DETERMINANT -- 6.8. ELEMENTARY DIVISORS -- PART II: LINEAR EQUATIONS -- A. DIRECT METHODS -- CHAPTER 1. EXACT SOLUTIONS -- 1.1. ELIMINATION I -- 1.2. ELIMINATION II -- CHAPTER 2. APPROXIMATE SOLUTIONS -- 2.1. CONDENSATION I. TRIANGULARISATION -- 2.2. CONDENSATION II. DIAGONALIZATION -- 2 . 3 . THE DECOMPOSITION OF THE MATRIX INTO TWO TRIANGULAR MATRICES -- 2.4. CHOICE OF ANOTHER PIVOTAL ELEMENT -- 2.5. THE GAUSS-DOOLITTLE PROCESS -- 2.6. A METHOD FOR PUNCHED CARDS -- 2.7. THE GENERALIZED CONDENSATIONS I AND II -- 2.8. AlTKENS TRIPLE PRODUCT -- 2.9. ILL-CONDITIONED EQUATIONS -- 2.10. NEIGHBOUR SYSTEMS -- 2.11. ERRORS AND EXACTNESS OF THE SOLUTION -- 2.12. COMPLEX SYSTEMS -- B. ITERATIONS METHODS -- CHAPTER 3. -- 3.1. INTRODUCTION -- 3.2. PRELIMINARY VIEW -- 3.3. DEVELOPMENT OF THE ITERATION METHODS -- CHAPTER 4. ITERATION I -- CHAPTER 5. THE CHARACTERISTIC EQUATION OF THE ITERATION PROCESSES -- CHAPTER 6. TYPE OF CONVERGENCE OF THE ITERATION METHODS -- CHAPTER 7. CONVERGENCE THEOREMS -- 7.1. SCHMIDT-MISES-GEIRINGER -- 7.3. ITERATION II -- 7.4. ITERATION I -- 7.5. GEIRINGER'S THEOREM -- 7.6. THEOREM OF STEIN AND ROSENBERG -- 7.7. ANOTHER THEOREM OF STEIN-ROSENBERG -- 7.8. AITKEN'S NEO-SEIDELIAN ITERATION -- CHAPTER 8. THE GENERAL ITERATION -- CHAPTER 9. METHODS FOR AUTOMATIC MACHINES. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | CHAPTER 10. SPEEDING - U P CONVERGENCE BY CHANGING MATRIX -- 10.1. CESARl'S METHOD -- 10.2. VAN DER CORPUT'S DEVICE -- 10.3. THE METHOD OF ELIMINATION -- 10.4. JACOBl'S METHOD -- CHAPTER 11. THE ITERATED DIRECT METHODS -- 11.1. CONVERGENCE OF THE METHOD -- CHAPTER 12. METHODS FOR ELECTRONIC COMPUTERS -- 12.1. KACMARZ'S PROCEDURE -- 12.2. CIMMINO'S PROCEDURE -- 12.3. LINEAR EQUATIONS AS MINIMUM CONDITION -- 12.4. LINEAR EQUATIONS AS EIGENPROBLEMS -- CHAPTER 13. VARIOUS QUESTIONS -- 13.1. NORMALIZATION -- 13.2. SCALING -- 13.3. ANOTHER SCALING -- 13.4. A THIRD SCALING -- PART IIII: NVERSION OF MATRICES -- A. DIRECT METHODS -- CHAPTER 1. CONDENSATION -- 1.1. THE INVERSE OF A TRIANGULAR MATRIX -- CHAPTER 2. FROBENIUS-SCHUR'S RELATION -- CHAPTER 3. COMPLETING -- CHAPTER 4. THE ADJUGATE -- 4 . 1 . THE METHOD OF DETERMINANTS -- B. ITERATION METHOD -- C. GEODETIC MATRICES -- PART IV. EIGEN PROBLEMS -- CHAPTER 1. INTRODUCTORY -- A. ITERATION METHODS -- CHAPTER 2. THE ITERATED VECTORS {Power Method) -- 2.1. THE DOMINANT EIGENVALUE IS REAL -- 2.2. THE DOMINANT EIGENVALUE IS COMPLEX -- 2.3. OTHER CASES -- 2.4. CRITICISM OF THE POWER METHOD -- 2.5. HIGHER EIGENVALUES -- 2.6. HIGHER EIGENVALUES ACCORDING TO AITKEN -- 2.7. THE LEAST EIGENVALUES -- 2.8. THE USE OF FROBENIUS'S THEOREM -- 2.9. WILKINSON'S METHOD -- 2.10. MULTIPLE EIGENVALUES -- CHAPTER 3. ORTHOGONAL TRANSFORMATIONS -- 3.1. JACOBI'S METHOD -- 3.2. MAGNIER'S AND JAHN'S MODIFICATION -- 3.3. GIVENS'S METHOD -- CHAPTER 4. THE METHOD OF SOLVING LINEAR EQUATIONS -- 4.1. THE ITERATION WITH A-1 -- CHAPTER 5. THE GRADIENT METHOD -- CHAPTER 6. THE USE OF POLYNOMIALS -- CHAPTER 7. POWERS OF THE MATRIX -- CHAPTER 8. DEFLATION -- 8.1. HOTELLING'S DEFLATION -- 8.2. WIELANDT'S DEFLATION -- 8.3. A THIRD DEFLATION -- 8.4. A FOURTH DEFLATION -- 8.5. VECTOR-DEFLATION. SCALAR DEFLATION -- 8.6 WEDDERBURN'S THEOREM. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 8.7. MATRIX DEFLATION IN THE CASE OF HIGHER ELEMENTARY DIVISORS -- CHAPTER 9. RUTISHAUSER'S LR-ALGORITHM -- B. DIRECT METHODS -- CHAPTER 10. DETERMINATION OF THE EIGENVECTORS -- 10.1. EIGENVALUES FOR NEIGHBOUR EQUATIONS -- 10.2. INFLUENCE OF MATRIX ERRORS -- 10.3. CHANGES OF THE ROOTS OF D(λ) -- 10.4. THE NUMBER OF OPERATIONS -- CHAPTER 11. PURE METHODS -- 11.1 LEVERRIER'S METHOD -- 11.2. KRYLOW-DUNCAN'S METHOD -- 11.3. SAMUELSON'S METHOD -- 11.4 OTHER METHODS -- CHAPTER 12. PROGRESSIVE ALGORITHMS -- 12.1 A METHOD -- 12.2. LANCZOS'S pq-ALGORITHM -- 12.3. HESSENBERG'S METHOD -- CHAPTER 13. THE EIGENPROBLEM (A + λB)x = 0 -- CHAPTER 14. SPECIAL MATRICES -- EXERCISES -- LITERATURE -- INDEX. |
| 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 | Matrices. |
| 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 | Bodewig, E. |
| Title | Matrix Calculus |
| Place, publisher, and date of publication | San Diego : Elsevier Science & Technology,c2014 |
| International Standard Book Number | 9781483232140 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=1888531">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=1888531</a> |
| Public note | Click to View |
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