Nonnegative matrices and applicable topics in linear algebra:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester
Horwood [u.a.]
1987
|
| Edition: | 1. publ. |
| Series: | Ellis Horwood series in mathematics and its applications
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 264 S. |
| ISBN: | 074580182X 0470208554 |
Staff View
MARC
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| 245 | 1 | 0 | |a Nonnegative matrices and applicable topics in linear algebra |c Alexander Graham |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Chichester |b Horwood [u.a.] |c 1987 | |
| 300 | |a 264 S. | ||
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Record in the Search Index
| _version_ | 1804122433925414912 |
|---|---|
| adam_text | Contents
Preface 7
Examples of Notation Used 9
Chapter 1 Introductory Survey
1.1 Introduction 11
1.2 Notation 11
1.3 Submatrices and Minors 13
1.4 Expressing a Singular Matrix as a Product 15
1.5 Determinants 19
1.6 The Derivative of a Determinant 21
1.7 The Characteristic Equation 22
1.8 The Adjoint of the Characteristic Matrix 27
1.9 Spectral Decomposition 31
1.10 Inner Product and Norms 35
1.11 The Trace Function 40
1.12 Permutation Matrices and Irreducible Matrices 42
1.13 Some Aspects of the Theory of Graphs 55
1.14 Matrix Convergence 61
Chapter 2 Some Matrix Types
2.1 Introduction 67
6 Contents
2.2 Unitary Matrices 67
2.3 Hermitian Matrices 77
2.4 Normal Matrices 86
Problems 90
Chapter 3 Positive Definite Matrices
3.1 Introduction 94
3.2 Quadratic Forms 94
3.3 Reductions to a Canonical Form 96
3.4 A Geometrical Application 98
3.5 Positive Definite Matrices 99
Problems 110
Chapter 4 Nonnegative Matrices
4.1 Introduction 112
4.2 Terminology and Notation 112
4.3 The Perron—Frobenius Theorem for a Positive Matrix 114
4.4 Irreducible Matrices 127
4.5 Cyclic Matrices 138
4.6 Reducible Matrices 158
Problems 165
Chapter 5 M Matrices
5.1 Introduction 169
5.2 Non singular M Matrices 170
5.3 Regular Splitting and Solving Simultaneous Equations 183
Problems 187
Chapter 6 Finite Markov Chains and Stochastic Matrices 189
Chapter 7 Some Applications of Nonnegative Matrices
7.1 Introduction 207
7.2 Some Genetic Models 207
7.3 Some Economic Models 224
7.4 Some Markov Chain Models 229
Appendix 238
Solutions to Problems 243
References 259
Index 262
|
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| id | DE-604.BV008067559 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:13:48Z |
| institution | BVB |
| isbn | 074580182X 0470208554 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005309494 |
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| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Horwood [u.a.] |
| record_format | marc |
| series2 | Ellis Horwood series in mathematics and its applications |
| spelling | Graham, Alexander Verfasser aut Nonnegative matrices and applicable topics in linear algebra Alexander Graham 1. publ. Chichester Horwood [u.a.] 1987 264 S. txt rdacontent n rdamedia nc rdacarrier Ellis Horwood series in mathematics and its applications Algèbre linéaire Matrices non-négatives algèbre linéaire inriac chaîne Markov finie inriac matrice M inriac matrice non négative inriac matrice stochastique inriac théorie matrice inriac Algebras, Linear Non-negative matrices Nichtnegative Matrix (DE-588)4310434-4 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 s DE-604 Nichtnegative Matrix (DE-588)4310434-4 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005309494&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Graham, Alexander Nonnegative matrices and applicable topics in linear algebra Algèbre linéaire Matrices non-négatives algèbre linéaire inriac chaîne Markov finie inriac matrice M inriac matrice non négative inriac matrice stochastique inriac théorie matrice inriac Algebras, Linear Non-negative matrices Nichtnegative Matrix (DE-588)4310434-4 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4310434-4 (DE-588)4035811-2 |
| title | Nonnegative matrices and applicable topics in linear algebra |
| title_auth | Nonnegative matrices and applicable topics in linear algebra |
| title_exact_search | Nonnegative matrices and applicable topics in linear algebra |
| title_full | Nonnegative matrices and applicable topics in linear algebra Alexander Graham |
| title_fullStr | Nonnegative matrices and applicable topics in linear algebra Alexander Graham |
| title_full_unstemmed | Nonnegative matrices and applicable topics in linear algebra Alexander Graham |
| title_short | Nonnegative matrices and applicable topics in linear algebra |
| title_sort | nonnegative matrices and applicable topics in linear algebra |
| topic | Algèbre linéaire Matrices non-négatives algèbre linéaire inriac chaîne Markov finie inriac matrice M inriac matrice non négative inriac matrice stochastique inriac théorie matrice inriac Algebras, Linear Non-negative matrices Nichtnegative Matrix (DE-588)4310434-4 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Algèbre linéaire Matrices non-négatives algèbre linéaire chaîne Markov finie matrice M matrice non négative matrice stochastique théorie matrice Algebras, Linear Non-negative matrices Nichtnegative Matrix Lineare Algebra |
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| work_keys_str_mv | AT grahamalexander nonnegativematricesandapplicabletopicsinlinearalgebra |