Matrix theory and applications with MATLAB:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
CRC Press
2001
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 371 S. Ill., graph. Darst. |
| ISBN: | 1584881089 |
Staff View
MARC
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Record in the Search Index
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| adam_text | MATRIX THEORY AND APPLICATIONS WITH MATLAB DARALD J. HARTFIEL CRC PRESS
BOCA RATON LONDON NEW YORK WASHINGTON, D.C. CONTENTS REVIEW OF MATRIX
ALGEBRA 1 1.1 MATRICES, SYSTEMS OF LINEAR EQUATIONS, DETERMINANTS . ...
1 1.1.1 MATRIX ALGEBRA 3 1.1.2 SYSTEMS OF LINEAR EQUATIONS 12 1.1.3
DETERMINANT 15 1.1.4 OPTIONAL (RANKING) 20 1.1.5 MATLAB (SOLVING AX = B)
22 INTRODUCTION TO VECTOR SPACES 29 2.1 VECTOR SPACES 29 2.1.1 OPTIONAL
(GEOMETRICAL DESCRIPTION OF THE SOLUTIONS TOAX = B) 39 2.1.2 MATLAB
(GRAPHICS) 40 2.2 DIMENSION 43 2.2.1 OPTIONAL (DIMENSION OF CONVEX SETS)
53 2.3 LINEAR TRANSFORMATIONS 58 2.3.1 OPTIONAL (GRAPHICS OF POLYGONAL
SHAPES) 67 2.3.2 MATLAB (CODES, INCLUDING PICTURE OF THE SINGULAR
MATRICES IN MATRIX SPACE) 69 SIMILARITY 75 3.1 NONSINGULAR MATRICES 76
3.1.1 OPTIONAL (INTERPOLATION AND PICTURES) 82 3.1.2 MATLAB (POLYFIT AND
POLYVAL) 84 VIII CONTENTS 3.2 DIAGONALIZATION 87 3.2.1 OPTIONAL
(BUCKLING BEAM) 93 3.2.2 MATLAB (EIG AND [P, D]) 96 3.3 CONDITIONS FOR
DIAGONALIZATION 99 3.3.1 OPTIONAL (PICTURE OF MULTIPLE EIGENVALUE
MATRICES IN MATRIX SPACE) 105 3.3.2 MATLAB (CODE FOR PICTURE) 106 3.4
JORDAN FORMS 108 3.4.1 OPTIONAL (NUMERICAL PROBLEMS IN FINDING THE
JORDAN FORM) 113 3.4.2 MATLAB ( [P, D] AND DEFECTIVE A) 114 4 MATRIX
CALCULUS 117 4.1 CALCULUS OF MATRICES 117 4.1.1 OPTIONAL (MODELING
SPRING-MASS PROBLEMS) 124 4.1.2 MATLAB (CODE FOR GRAPH OF FUNCTION) 126
4.2 DIFFERENCE EQUATIONS 128 4.2.1 OPTIONAL (LONG-RUN PREDICTION) 135
4.2.2 MATLAB (CODE FOR VIEWING SOLUTION TO DIFFERENCE EQUATIONS;
HANDLING LARGE MATRICES) 137 4.3 DIFFERENTIAL EQUATIONS 142 4.3.1
OPTIONAL (MODELING MOTIONS OF A BUILDING) 151 4.3.2 MATLAB (CODE FOR
VIEWING SOLUTIONS OF DIFFERENTIAL EQUATIONS USING EXPM) 152 5 NORMED
VECTOR SPACES 157 5.1 VECTOR NORMS 157 5.1.1 OPTIONAL (EVALUATING
MODELS) 162 5.1.2 MATLAB (VECTOR NORMS) 164 5.2 INDUCED MATRIX NORMS 166
5.2.1 OPTIONAL (ERROR IN SOLVING AX = B) 173 5.2.2 MATLAB (MATRIX NORMS
AND CONDITION NUMBERS) 176 5.3 SOME SPECIAL NORMS 180 5.3.1 OPTIONAL
(SPLITTING TECHNIQUES) 185 5.3.2 MATLAB (CODE FOR ITERATIVE SOLUTIONS)
187 5.4 INNER PRODUCT NORMS AND ORTHOGONALITY 191 5.4.1 OPTIONAL
(CLOSEST MATRIX FROM SYMMETRIC MATRICES) 200 5.4.2 MATLAB (ORTH AND THE
PROJECTION MATRIX) .... 200 6 UNITARY SIMILARITY 205 6.1 UNITARY
MATRICES 205 6.1.1 OPTIONAL (SYMMETRY) 213 6.1.2 MATLAB (CODE FOR
PICTURE OF ORTHOGONAL MATRICES IN 2 X 2 MATRIX SPACE) 215 6.2 SCHUR
DECOMPOSITIONS 219 CONTENTS IX 6.2.1 OPTIONAL (MOTION IN PRINCIPAL AXES)
228 6.2.2 MATLAB (SCHUR) 231 7 SINGULAR VALUE DECOMPOSITION 235 7.1
SINGULAR VALUE DECOMPOSITION THEOREM 236 7.1.1 OPTIONAL (PHYSICAL
PROBLEMS INVOLVING LEAST-SQUARES SOLUTIONS) 245 7.1.2 MATLAB
(LEAST-SQUARES SOLUTIONS TO AX = B) ... 248 7.2 APPLICATIONS OF THE SVD
THEOREM 252 7.2.1 MATLAB (PINV, NULL, ORTH, AND RANK) 260 8 LU AND QR
DECOMPOSITIONS 265 8.1 THE LU DECOMPOSITION 265 8.1.1 OPTIONAL
(ITERATIVE IMPROVEMENT IN SOLVING AX = B) 272 8.1.2 MATLAB (LU, [L,U]
AND [L,U,F]) 273 8.2 THE QR DECOMPOSITION 275 8.2.1 OPTIONAL (QR
ALGORITHM) 283 8.2.2 MATLAB (AX = B, QR, HOUSEHOLDER, AND GIVENS) . 285
9 PROPERTIES OF EIGENVALUES AND EIGENVECTORS 291 9.1 CONTINUITY OF
EIGENVALUES AND EIGENVECTORS 291 9.1.1 OPTIONAL (EIGENVECTORS AND
MULTIPLE EIGENVALUES) . 297 9.2 PERTURBATION OF EIGENVALUES AND
EIGENVECTORS 299 9.2.1 OPTIONAL (PICTURES OF EIGENVALUE AND EIGENVECTOR
SEN- SITIVITY) 304 9.2.2 MATLAB (CONDEIG) 306 10 HERMITIAN AND POSITIVE
DEFINITE MATRICES 309 10.1 POSITIVE DEFINITE MATRICES 309 10.1.1
OPTIONAL (SOLVING THE MOTION OF A BUILDING PROBLEM) 315 10.1.2 MATLAB
(CODE FOR COMPUTING P) 318 10.2 SPECIAL EIGENVALUE RESULTS ON HERMITIAN
MATRICES 320 10.2.1 OPTIONAL (OPTIMIZATION) 326 11 GRAPHICS AND TOPOLOGY
331 11.1 TWO PROJECTION MATRICES 331 11.1.1 OPTIONAL (DRAWING PICTURES
USING PROJECTION MAPS) 337 11.2 MANIFOLDS AND TOPOLOGICAL SETS 340
11.2.1 OPTIONAL (RANK K MATRICES) 344 APPENDIX A: MATLAB 346 ANSWERS TO
SELECTED EXERCISES 350 BIBLIOGRAPHY 365
|
| any_adam_object | 1 |
| author | Hartfiel, Darald J. 1939- |
| author_GND | (DE-588)120279355 |
| author_facet | Hartfiel, Darald J. 1939- |
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| author_variant | d j h dj djh |
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| bvnumber | BV013886170 |
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| callnumber-label | QA188 |
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| classification_rvk | SK 220 ST 601 |
| ctrlnum | (OCoLC)247970296 (DE-599)BVBBV013886170 |
| dewey-full | 512.9/434 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.9/434 |
| dewey-search | 512.9/434 |
| dewey-sort | 3512.9 3434 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| format | Book |
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| id | DE-604.BV013886170 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:53:48Z |
| institution | BVB |
| isbn | 1584881089 |
| language | English |
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| owner_facet | DE-703 DE-20 |
| physical | IX, 371 S. Ill., graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | CRC Press |
| record_format | marc |
| spelling | Hartfiel, Darald J. 1939- Verfasser (DE-588)120279355 aut Matrix theory and applications with MATLAB Darald J. Hartfiel Boca Raton [u.a.] CRC Press 2001 IX, 371 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier MATLAB Dataprocessing gtt MATLAB gtt Matrices - Informatique Matrices gtt Toepassingen gtt Datenverarbeitung Matrices Data processing Matrizentheorie (DE-588)4128970-5 gnd rswk-swf MATLAB (DE-588)4329066-8 gnd rswk-swf MATLAB (DE-588)4329066-8 s Matrizentheorie (DE-588)4128970-5 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009499890&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hartfiel, Darald J. 1939- Matrix theory and applications with MATLAB MATLAB Dataprocessing gtt MATLAB gtt Matrices - Informatique Matrices gtt Toepassingen gtt Datenverarbeitung Matrices Data processing Matrizentheorie (DE-588)4128970-5 gnd MATLAB (DE-588)4329066-8 gnd |
| subject_GND | (DE-588)4128970-5 (DE-588)4329066-8 |
| title | Matrix theory and applications with MATLAB |
| title_auth | Matrix theory and applications with MATLAB |
| title_exact_search | Matrix theory and applications with MATLAB |
| title_full | Matrix theory and applications with MATLAB Darald J. Hartfiel |
| title_fullStr | Matrix theory and applications with MATLAB Darald J. Hartfiel |
| title_full_unstemmed | Matrix theory and applications with MATLAB Darald J. Hartfiel |
| title_short | Matrix theory and applications with MATLAB |
| title_sort | matrix theory and applications with matlab |
| topic | MATLAB Dataprocessing gtt MATLAB gtt Matrices - Informatique Matrices gtt Toepassingen gtt Datenverarbeitung Matrices Data processing Matrizentheorie (DE-588)4128970-5 gnd MATLAB (DE-588)4329066-8 gnd |
| topic_facet | MATLAB Dataprocessing Matrices - Informatique Matrices Toepassingen Datenverarbeitung Matrices Data processing Matrizentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009499890&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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