Matrix methods and applications:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Englewood Cliffs, NJ
Prentice Hall
1988
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 314 S. |
| ISBN: | 013565565X |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents v ^||
¦«
PREFACE v
1. MATRICES AND LINEAR EQUATIONS 1
1.1. Matrices and Linear Equations 2
1.2. Matrix Operations 8
1.3. Special Matrices 20
1.4. Some Simple Applications 30
2. GA USSIAN ELIMINA TION 41
2.1. Simple Examples 42
2.2. Elementary Row Operations and Equivalent Systems 46
2.3. LU Factorization 51
2.4. Computation of Inverses 64
2.5. Computational Considerations 67
2.6. Linear Programming 70
3. DETERMINANTS 77
3.1. Basic Properties 78
3.2. Inverses and Determinants 87
3.3. Age Distributions 93
4. THEORY OF SOLUTIONS 97
4.1. Existence and Uniqueness of Solutions 98
4.2. Linear Independence 104
4.3. The Rank Nullity Theorem 113
4.4. Error Correcting Codes 120
ill
iv Contents
5. GEOMETRICAL NOTIONS 130
5.1. Vectors in the Plane 131
5.2. Vectors of Higher Dimensions 136
5.3. Orthogonal Matrices and QR Factorization 144
5.4. Adjoint and Unitary Matrices 151
5.5. Alternate Norms and Digital Codes 157
5.6. Computer Graphics 160
6. THE EIGENVALUE PROBLEM 168
6.1. The Characteristic Equation 169
6.2. Properties of Eigenvectors and Eigenvalues 180
6.3. The Cay ley Hamilton Theorem 192
6.4. Markov Processes 199
7. COORDINATE TRANSFORMATIONS 209
7.1. Similarity 211
7.2. Diagonalizable Matrices 214
7.3. Quadratic Forms and Conic Sections 219
7.4. Simultaneous Diagonalization and Positive
Definite Matrices 230
7.5. Systems of Ordinary Differential Equations 235
8. NUMERICAL LINEAR ALGEBRA 253
8.1. Errors, Norms, and Conditioning 254
8.2. Iterative Solution of Linear Systems 265
8.3. Eigenvalue Calculation 274
8.4. Overdetermined Systems and Least Squares Solutions 282
ANSWERS TO SELECTED ODD NUMBERED EXERCISES 297
INDEX 311
|
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| id | DE-604.BV002135507 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:40:55Z |
| institution | BVB |
| isbn | 013565565X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001400395 |
| oclc_num | 16130152 |
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| physical | VI, 314 S. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Prentice Hall |
| record_format | marc |
| spelling | Groetsch, Charles W. Verfasser aut Matrix methods and applications C. W. Groetsch ; J. Thomas King Englewood Cliffs, NJ Prentice Hall 1988 VI, 314 S. txt rdacontent n rdamedia nc rdacarrier Algèbre linéaire Matrices Algebras, Linear Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 s Lineare Algebra (DE-588)4035811-2 s DE-604 King, J. Thomas Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001400395&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Groetsch, Charles W. King, J. Thomas Matrix methods and applications Algèbre linéaire Matrices Algebras, Linear Numerische Mathematik (DE-588)4042805-9 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4042805-9 (DE-588)4035811-2 |
| title | Matrix methods and applications |
| title_auth | Matrix methods and applications |
| title_exact_search | Matrix methods and applications |
| title_full | Matrix methods and applications C. W. Groetsch ; J. Thomas King |
| title_fullStr | Matrix methods and applications C. W. Groetsch ; J. Thomas King |
| title_full_unstemmed | Matrix methods and applications C. W. Groetsch ; J. Thomas King |
| title_short | Matrix methods and applications |
| title_sort | matrix methods and applications |
| topic | Algèbre linéaire Matrices Algebras, Linear Numerische Mathematik (DE-588)4042805-9 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Algèbre linéaire Matrices Algebras, Linear Numerische Mathematik Lineare Algebra |
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