Introduction to matrix theory: with applications to business and economics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey [u.a.]
World Scientific
2002
|
| Schriftenreihe: | Series on concrete and applicable mathematics
3 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 501 S. |
| ISBN: | 9810245041 9810245130 |
Internformat
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Datensatz im Suchindex
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| adam_text | SERIES ON CONCRETE AND APPLICABLE MATHEMATICS - VOL. 3 I NTRODUCTION TO
MATRIX THEORY WITH APPLICATIONS TO BUSINESS AND ECONOMICS FERENC
SZIDAROVSZKY UNIVERSITY OF ARIZONA, USA SANDOR MOLNAR SZENT ISTVAN
UNIVERSITY, HUNGARY WORLD SCIENTIFIC NEW JERSEY LONDON * SINGAPORE *
HONG KONG CONTENTS CHAPTER 1. VECTORS AND MATRICES 1 1.1 INTRODUCTION 1
1.2 COMPARISON OF MATRICES 7 1.3 ELEMENTARY MATRIX ALGEBRA 8 1.4 INVERSE
OF A MATRIX 21 1.5 FURTHER EXAMPLES AND APPLICATIONS 24 1.6. EXERCISES
52 CHAPTER 2. VECTOR SPACES AND INNER-PRODUCT SPACES 57 2.1 INTRODUCTION
57 2.2 SUBSPACES 62 2.3 LINEAR INDEPENDENCE, BASIS 70 2.4 INNER-PRODUCT
SPACES 85 2.5 DIRECT SUMS AND ORTHOGONAL COMPLEMENTARY SUBSPACES 105 2.6
APPLICATIONS 119 2.7 EXERCISES 127 CHAPTER 3. SYSTEMS OF LINEAR
EQUATIONS AND INVERSES OF MATRICES 133 3.1 INTRODUCTION 133 3.2
EXISTENCE AND UNIQUENESS OF A SOLUTION 135 3.3 SYSTEMS OF HOMOGENEOUS
LINEAR EQUATIONS 142 3.4 SYSTEMS OF INHOMOGENEOUS LINEAR EQUATIONS 149
3.5 RANK OF MATRICES 155 3.6 MATRIX EQUATIONS AND INVERSES OF MATRICES
157 3.7 THE ELIMINATION METHOD 165 3.8 APPLICATIONS 188 3.9 EXERCISES
200 CHAPTER 4. DETERMINANTS 207 4.1 INTRODUCTION 207 4.2 PROPERTIES OF
DETERMINANTS 215 VLL VIII INTRODUCTION TO MATRIX THEORY 4.3 COFACTORS
AND EXPANSION BY COFACTORS 225 4.4 DETERMINANTS AND SYSTEMS OF LINEAR
EQUATIONS 232 4.5 FURTHER EXAMPLES AND APPLICATIONS 238 4.6 EXERCISES
245 CHAPTER 5. LINEAR MAPPINGS AND MATRICES 251 5.1 INTRODUCTION 251 5.2
VECTOR COORDINATES 251 5.3 LINEAR MAPPINGS 254 5.4 THE VECTOR SPACE OF
LINEAR MAPPINGS 271 5.5 MULTIPLICATION OF LINEAR MAPPINGS, AND INVERSES
273 5.6 MATRIX REPRESENTATIONS OF LINEAR MAPPINGS 284 5.7 COORDINATES
AND MATRIX REPRESENTATION IN A NEW BASIS 293 5.8 APPLICATIONS 299 5.9
EXERCISES 306 CHAPTER 6. EIGENVALUES, INVARIANT SUBSPACES, CANONICAL
FORMS 313 6.1 INTRODUCTION 313 6.2 BASIC CONCEPTS 313 6.3 MATRIX
POLYNOMIALS 325 6.4 THE CONSTRUCTION OF INVARIANT SUBSPACES 336 6.5
DIAGONAL AND TRIANGULAR FORMS 341 6.6 THE JORDAN CANONICAL FORM 351 6.7
COMPLEXIFICATION 360 6.8 APPLICATIONS 361 6.9. EXERCISES 378 CHAPTER 7.
SPECIAL MATRICES 383 7.1 INTRODUCTION 383 7.2 DIAGONAL, TRIDIAGONAL, AND
TRIANGULAR MATRICES 383 7.3 IDEMPOTENT AND NILPOTENT MATRICES 393 7.4
MATRICES IN INNER PRODUCT SPACES 396 7.5 DEFINITE MATRICES 410 7.6
NONNEGATIVE MATRICES 418 CONTENTS IX 7.7 APPLICATIONS 437 7.8 EXERCISES
450 CHAPTER 8. ELEMENTS OF MATRIX ANALYSIS 455 8.1 INTRODUCTION 455 8.2
VECTOR NORMS 455 8.3 MATRIX NORMS 461 8.4 APPLICATIONS 474 8.5 EXERCISES
491 REFERENCES 495 INDEX 497
|
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| dewey-full | 512.9/43421 512.9/434 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.9/434 21 512.9/434 |
| dewey-search | 512.9/434 21 512.9/434 |
| dewey-sort | 3512.9 3434 221 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:57:50Z |
| institution | BVB |
| isbn | 9810245041 9810245130 |
| language | English |
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| physical | IX, 501 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | World Scientific |
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| series | Series on concrete and applicable mathematics |
| series2 | Series on concrete and applicable mathematics |
| spelling | Szidarovszky, Ferenc 1945- Verfasser (DE-588)121012158 aut Introduction to matrix theory with applications to business and economics Ferenc Szidarovszky ; Sándor Molnár New Jersey [u.a.] World Scientific 2002 IX, 501 S. txt rdacontent n rdamedia nc rdacarrier Series on concrete and applicable mathematics 3 Matrices Matrizentheorie (DE-588)4128970-5 gnd rswk-swf Matrizentheorie (DE-588)4128970-5 s DE-604 Molnár, Sándor Sonstige oth Series on concrete and applicable mathematics 3 (DE-604)BV035419910 3 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009667724&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Szidarovszky, Ferenc 1945- Introduction to matrix theory with applications to business and economics Series on concrete and applicable mathematics Matrices Matrizentheorie (DE-588)4128970-5 gnd |
| subject_GND | (DE-588)4128970-5 |
| title | Introduction to matrix theory with applications to business and economics |
| title_auth | Introduction to matrix theory with applications to business and economics |
| title_exact_search | Introduction to matrix theory with applications to business and economics |
| title_full | Introduction to matrix theory with applications to business and economics Ferenc Szidarovszky ; Sándor Molnár |
| title_fullStr | Introduction to matrix theory with applications to business and economics Ferenc Szidarovszky ; Sándor Molnár |
| title_full_unstemmed | Introduction to matrix theory with applications to business and economics Ferenc Szidarovszky ; Sándor Molnár |
| title_short | Introduction to matrix theory |
| title_sort | introduction to matrix theory with applications to business and economics |
| title_sub | with applications to business and economics |
| topic | Matrices Matrizentheorie (DE-588)4128970-5 gnd |
| topic_facet | Matrices Matrizentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009667724&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035419910 |
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