Matrix mathematics: theory, facts, and formulas with application to linear systems theory
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton [u.a.]
Princeton Univ. Press
2005
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and indexes |
| Beschreibung: | XXXV, 726 S. |
| ISBN: | 0691118027 9780691118024 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV019709883 | ||
| 003 | DE-604 | ||
| 005 | 20180528 | ||
| 007 | t | ||
| 008 | 050223s2005 |||| 00||| eng d | ||
| 020 | |a 0691118027 |9 0-691-11802-7 | ||
| 020 | |a 9780691118024 |9 978-0-691-11802-4 | ||
| 035 | |a (OCoLC)56319611 | ||
| 035 | |a (DE-599)BVBBV019709883 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-19 |a DE-91G |a DE-29T |a DE-706 |a DE-83 | ||
| 050 | 0 | |a QA188 | |
| 082 | 0 | |a 512.9/434 |2 22 | |
| 084 | |a MAT 150f |2 stub | ||
| 084 | |a 15-01 |2 msc | ||
| 084 | |a 93C05 |2 msc | ||
| 100 | 1 | |a Bernstein, Dennis S. |d 1954- |e Verfasser |0 (DE-588)140693319 |4 aut | |
| 245 | 1 | 0 | |a Matrix mathematics |b theory, facts, and formulas with application to linear systems theory |c Dennis S. Bernstein |
| 264 | 1 | |a Princeton [u.a.] |b Princeton Univ. Press |c 2005 | |
| 300 | |a XXXV, 726 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and indexes | ||
| 650 | 4 | |a Matrices | |
| 650 | 4 | |a Systèmes linéaires | |
| 650 | 4 | |a Linear systems | |
| 650 | 4 | |a Matrices | |
| 650 | 0 | 7 | |a Lineares Gleichungssystem |0 (DE-588)4035826-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Matrizentheorie |0 (DE-588)4128970-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Matrix |g Mathematik |0 (DE-588)4037968-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Matrizenrechnung |0 (DE-588)4126963-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Determinante |0 (DE-588)4138983-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Matrizenpolynom |0 (DE-588)4169130-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lineare Kontrolltheorie |0 (DE-588)4123657-9 |2 gnd |9 rswk-swf |
| 655 | 7 | |8 1\p |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
| 689 | 0 | 0 | |a Matrizentheorie |0 (DE-588)4128970-5 |D s |
| 689 | 0 | 1 | |a Matrix |g Mathematik |0 (DE-588)4037968-1 |D s |
| 689 | 0 | 2 | |a Determinante |0 (DE-588)4138983-9 |D s |
| 689 | 0 | 3 | |a Matrizenpolynom |0 (DE-588)4169130-1 |D s |
| 689 | 0 | 4 | |a Lineares Gleichungssystem |0 (DE-588)4035826-4 |D s |
| 689 | 0 | 5 | |a Lineare Kontrolltheorie |0 (DE-588)4123657-9 |D s |
| 689 | 0 | 6 | |a Matrizenrechnung |0 (DE-588)4126963-9 |D s |
| 689 | 0 | |8 2\p |5 DE-604 | |
| 689 | 1 | 0 | |a Lineares Gleichungssystem |0 (DE-588)4035826-4 |D s |
| 689 | 1 | |5 DE-604 | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013037271&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-013037271 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804133163453120512 |
|---|---|
| adam_text | MATRIX MATHEMATICS THEORY, FACTS, AND FORMULAS WITH APPLICATION TO
LINEAR SYSTEMS THEORY DENNIS S. BERNSTEIN PRINCETON UNIVERSITY PRESS
PRINCETON AND OXFORD CONTENTS SPECIAL SYMBOLS XV CONVENTIONS, NOTATION,
AND TERMINOLOGY XXVUE PREFACE XXXIUE ACKNOWLEDGMENTS XXXVUE CHAPTERL.
PRELIMINARIES 1 1.1 LOGIC AND SETS 1 1.2 RELATIONS AND FUNCTIONS 3 1.3
FACTS ON LOGIC, SETS, AND FUNCTIONS 5 1.4 FACTS ON SCALAR INEQUALITIES 6
1.5 NOTES 12 CHAPTER2. BASIC MATRIX PROPERTIES 13 2.1 MATRIX ALGEBRA 13
2.2 TRANSPOSE AND INNER PRODUCT 20 2.3 CONVEX SETS, CONES, AND SUBSPACES
25 2.4 RANGE AND NULL SPACE 29 2.5 RANK AND DEFECT 32 2.6 INVERTIBILITY
34 2.7 DETERMINANTS 39 2.8 PROPERTIES OF PARTITIONED MATRICES 42 2.9
FACTS ON CONES, CONVEX HULLS, AND SUBSPACES 47 2.10 FACTS ON RANGE, NULL
SPACE, RANK, AND DEFECT 49 2.11 FACTS ON IDENTITIES 55 2.12 FACTS ON
DETERMINANTS 57 2.13 FACTS ON DETERMINANTS OF PARTITIONED MATRICES 60
2.14 FACTS ON ADJUGATES AND INVERSES 66 2.15 FACTS ON INVERSES OF
PARTITIONED MATRICES 71 2.16 FACTS ON COMMUTATORS 74 2.17 FACTS ON
COMPLEX MATRICES 75 X CONTENTS 2.18 FACTS ON GEOMETRY 78 2.19 NOTES 79
CHAPTER 3. MATRIX CLASSES AND TRANSFORMATIONS 81 3.1 MATRIX CLASSES 81
3.2 MATRIX TRANSFORMATIONS 86 3.3 LIE ALGEBRAS AND GROUPS 87 3.4 FACTS
ON GROUP-INVERTIBLE AND RANGE-HERMITIAN MATRICES 89 3.5 FACTS ON NORMAL,
HERMITIAN, AND SKEW-HERMITIAN MATRICES 90 3.6 FACTS ON THE COMMUTATOR 97
3.7 FACTS ON UNITARY MATRICES 98 3.8 FACTS ON IDEMPOTENT MATRICES 102
3.9 FACTS ON PROJECTORS 108 3.10 FACTS ON REFLECTORS 112 3.11 FACTS ON
NILPOTENT MATRICES 113 3.12 FACTS ON HAMILTONIAN AND SYMPLECTIC MATRICES
114 3.13 FACTS ON GROUPS 115 3.14 FACTS ON QUATERNIONS 116 3.15 FACTS ON
MISCELLANEOUS TYPES OF MATRICES 117 3.16 NOTES 120 CHAPTER 4. MATRIX
POLYNOMIALS AND RATIONAL TRANSFER FUNCTIONS 121 4.1 POLYNOMIALS 121 4.2
MATRIX POLYNOMIALS 124 4.3 THE SMITH DECOMPOSITION AND SIMILARITY
INVARIANTS 127 4.4 EIGENVALUES 130 4.5 EIGENVECTORS 135 4.6 MINIMAL
POLYNOMIAL 137 4.7 RATIONAL TRANSFER FUNCTIONS AND THE SMITH-MCMILLAN
DECOMPOSITION 139 4.8 FACTS ON POLYNOMIALS 141 4.9 FACTS ON THE
CHARACTERISTIC AND MINIMAL POLYNOMIALS 148 4.10 FACTS ON THE SPECTRUM
151 4.11 FACTS ON NONNEGATIVE MATRICES 156 4.12 NOTES 160 CHAPTER 5.
MATRIX DECOMPOSITIONS 161 5.1 SMITH FORM 161 5.2 MULTI-COMPANION FORM
162 5.3 HYPERCOMPANION FORM AND JORDAN FORM 166 5.4 SCHUR DECOMPOSITION
171 5.5 EIGENSTRUCTURE PROPERTIES 174 5.6 SINGULAR VALUE DECOMPOSITION
181 5.7 FACTS ON THE INERTIA 183 5.8 FACTS ON MATRIX TRANSFORMATIONS FOR
ONE MATRIX 186 CONTENTS XI 5.9 FACTS ON MATRIX TRANSFORMATIONS FOR TWO
OR MORE MATRICES 189 5.10 FACTS ON EIGENVALUES AND SINGULAR VALUES FOR
ONE MATRIX 194 5.11 FACTS ON EIGENVALUES AND SINGULAR VALUES FOR TWO OR
MORE MATRICES 201 5.12 FACTS ON MATRIX EIGENSTRUCTURE 204 5.13 FACTS ON
COMPANION, VANDERMONDE, AND CIRCULANT MATRICES 209 5.14 FACTS ON MATRIX
FACTORIZATIONS 215 5.15 FACTS ON THE POLAR DECOMPOSITION 221 5.16 NOTES
222 CHAPTER 6. GENERALIZED INVERSES 223 6.1 MOORE-PENROSE GENERALIZED
INVERSE 223 6.2 DRAZIN GENERALIZED INVERSE 227 6.3 FACTS ON THE
MOORE-PENROSE GENERALIZED INVERSE FOR ONE MATRIX 229 6.4 FACTS ON THE
MOORE-PENROSE GENERALIZED INVERSE FOR TWO OR MORE MATRICES 234 6.5 FACTS
ON THE DRAZIN AND GROUP GENERALIZED INVERSES 244 6.6 NOTES 246 CHAPTER
7. KRONECKER AND SCHUR ALGEBRA 24 7 7.1 KRONECKER PRODUCT 247 7.2
KRONECKER SUM AND LINEAR MATRIX EQUATIONS 251 7.3 SCHUR PRODUCT 252 7.4
FACTS ON THE KRONECKER PRODUCT 253 7.5 FACTS ON THE KRONECKER SUM 256
7.6 FACTS ON THE SCHUR PRODUCT 258 7.7 NOTES 261 CHAPTER 8.
POSITIVE-SEMIDEFINITE MATRICES 263 8.1 POSITIVE-SEMIDEFINITE AND
POSITIVE-DEFINITE ORDERINGS 263 8.2 SUBMATRICES 265 8.3 SIMULTANEOUS
DIAGONALIZATION 268 8.4 EIGENVALUE INEQUALITIES 271 8.5 MATRIX
INEQUALITIES 277 8.6 FACTS ON RANGE AND RANK 288 8.7 FACTS ON IDENTITIES
AND INEQUALITIES FOR ONE MATRIX 289 8.8 FACTS ON IDENTITIES AND
INEQUALITIES FOR TWO OR MORE MATRICES 295 8.9 FACTS ON IDENTITIES AND
INEQUALITIES FOR PARTITIONED MATRICES 301 8.10 FACTS ON THE TRACE 306
8.11 FACTS ON THE DETERMINANT 311 8.12 FACTS ON QUADRATIC FORMS 316 XII
8.13 FACTS ON MATRIX TRANSFORMATIONS 321 8.14 FACTS ON EIGENVALUES AND
SINGULAR VALUES 323 8.15 FACTS ON GENERALIZED INVERSES 330 8.16 FACTS ON
THE KRONECKER AND SCHUR PRODUCTS 333 8.17 FACTS ON MAJORIZATION 341 8.18
NOTES 342 CHAPTER 9. NORMS 343 9.1 VECTOR NORMS 343 9.2 MATRIX NORMS 347
9.3 COMPATIBLE NORMS 350 9.4 INDUCED NORMS 353 9.5 INDUCED LOWER BOUND
358 9.6 SINGULAR VALUE INEQUALITIES 361 9.7 FACTS ON VECTOR NORMS 363
9.8 FACTS ON MATRIX NORMS FOR ONE MATRIX 366 9.9 FACTS ON MATRIX NORMS
FOR TWO OR MORE MATRICES 374 9.10 FACTS ON MATRIX NORMS AND EIGENVALUES
385 9.11 FACTS ON SINGULAR VALUES FOR ONE MATRIX 388 9.12 FACTS ON
SINGULAR VALUES FOR TWO OR MORE MATRICES 392 9.13 NOTES 399 CHAPTER 10.
FUNCTIONS OF MATRICES AND THEIR DERIVATIVES 401 10.1 OPEN SETS AND
CLOSED SETS 401 10.2 LIMITS 402 10.3 CONTINUITY 404 10.4 DERIVATIVES 405
10.5 FUNCTIONS OF A MATRIX 408 10.6 MATRIX DERIVATIVES 410 10.7 FACTS ON
OPEN, CLOSED, AND CONVEX SETS 412 10.8 FACTS ON FUNCTIONS AND
DERIVATIVES 414 10.9 NOTES 417 CHAPTER 11. THE MATRIX EXPONENTIAL AND
STABILITY THEORY 419 11.1 DEFINITION OF THE MATRIX EXPONENTIAL 419 11.2
STRUCTURE OF THE MATRIX EXPONENTIAL 422 11.3 EXPLICIT EXPRESSIONS 425
11.4 LOGARITHMS 429 11.5 LIE GROUPS 432 11.6 LYAPUNOV STABILITY THEORY
435 11.7 LINEAR STABILITY THEORY 437 11.8 THE LYAPUNOV EQUATION 441 11.9
DISCRETE-TIME STABILITY THEORY 446 11.10 FACTS ON MATRIX EXPONENTIAL
FORMULAS 447 11.11 FACTS ON THE MATRIX EXPONENTIAL FOR ONE MATRIX 451
CONTENTS XII! 11.12 FACTS ON THE MATRIX EXPONENTIAL FOR TWO OR MORE
MATRICES 454 11.13 FACTS ON THE MATRIX EXPONENTIAL AND EIGENVALUES,
SINGULAR VALUES, AND NORMS FOR ONE MATRIX 460 11.14 FACTS ON THE MATRIX
EXPONENTIAL AND EIGENVALUES, SINGULAR VALUES, AND NORMS FOR TWO OR MORE
MATRICES 461 11.15 FACTS ON STABLE POLYNOMIALS 464 11.16 FACTS ON LIE
GROUPS 466 11.17 FACTS ON STABLE MATRICES 466 11.18 FACTS ON
DISCRETE-TIME STABILITY 474 11.19 FACTS ON SUBSPACE DECOMPOSITION 478
11.20 NOTES 485 CHAPTER 12. LINEAR SYSTEMS AND CONTROL THEORY 487 12.1
STATE SPACE AND TRANSFER FUNCTION MODELS 487 12.2 LAPLACE TRANSFORM
ANALYSIS 490 12.3 THE UNOBSERVABLE SUBSPACE AND OBSERVABILITY 492 12.4
OBSERVABLE ASYMPTOTIC STABILITY 496 12.5 DETECTABILITY 498 12.6 THE
CONTROLLABLE SUBSPACE AND CONTROLLABILITY 499 12.7 CONTROLLABLE
ASYMPTOTIC STABILITY 506 12.8 STABILIZABILITY 510 12.9 REALIZATION
THEORY 512 12.10 SYSTEM ZEROS 520 12.11 H 2 SYSTEMNORM 522 12.12
HARMONIE STEADY-STATE RESPONSE 526 12.13 SYSTEM INTERCONNECTIONS 527
12.14 H 2 STANDARD CONTROL PROBLEM 530 12.15 LINEAR-QUADRATIC CONTROL
533 12.16 SOLUTIONS OF THE RICCATI EQUATION 536 12.17 THE STABILIZING
SOLUTION OF THE RICCATI EQUATION 541 12.18 THE MAXIMAL SOLUTION OF THE
RICCATI EQUATION 546 12.19 POSITIVE-SEMIDEFINITE AND POSITIVE-DEFINITE
SOLUTIONS OF THE RICCATI EQUATION 549 12.20 FACTS ON STABILITY,
OBSERVABILITY, AND CONTROLLABILITY 550 12.21 FACTS ON THE LYAPUNOV
EQUATION AND INERTIA 552 12.22 FACTS ON REALIZATIONS AND THE H 2 SYSTEM
NORM 556 12.23 FACTS ON THE RICCATI EQUATION 558 12.24 NOTES 561
BIBLIOGRAPHY 563 AUTHOR INDEX 611 INDEX 619
|
| any_adam_object | 1 |
| author | Bernstein, Dennis S. 1954- |
| author_GND | (DE-588)140693319 |
| author_facet | Bernstein, Dennis S. 1954- |
| author_role | aut |
| author_sort | Bernstein, Dennis S. 1954- |
| author_variant | d s b ds dsb |
| building | Verbundindex |
| bvnumber | BV019709883 |
| callnumber-first | Q - Science |
| callnumber-label | QA188 |
| callnumber-raw | QA188 |
| callnumber-search | QA188 |
| callnumber-sort | QA 3188 |
| callnumber-subject | QA - Mathematics |
| classification_tum | MAT 150f |
| ctrlnum | (OCoLC)56319611 (DE-599)BVBBV019709883 |
| 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 | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02667nam a2200637 c 4500</leader><controlfield tag="001">BV019709883</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20180528 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">050223s2005 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0691118027</subfield><subfield code="9">0-691-11802-7</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780691118024</subfield><subfield code="9">978-0-691-11802-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)56319611</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV019709883</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-19</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA188</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.9/434</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 150f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">15-01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">93C05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bernstein, Dennis S.</subfield><subfield code="d">1954-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)140693319</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Matrix mathematics</subfield><subfield code="b">theory, facts, and formulas with application to linear systems theory</subfield><subfield code="c">Dennis S. Bernstein</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton [u.a.]</subfield><subfield code="b">Princeton Univ. Press</subfield><subfield code="c">2005</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XXXV, 726 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and indexes</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Matrices</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Systèmes linéaires</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Linear systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Matrices</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lineares Gleichungssystem</subfield><subfield code="0">(DE-588)4035826-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Matrizentheorie</subfield><subfield code="0">(DE-588)4128970-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Matrix</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4037968-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Matrizenrechnung</subfield><subfield code="0">(DE-588)4126963-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Determinante</subfield><subfield code="0">(DE-588)4138983-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Matrizenpolynom</subfield><subfield code="0">(DE-588)4169130-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lineare Kontrolltheorie</subfield><subfield code="0">(DE-588)4123657-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">1\p</subfield><subfield code="0">(DE-588)4123623-3</subfield><subfield code="a">Lehrbuch</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Matrizentheorie</subfield><subfield code="0">(DE-588)4128970-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Matrix</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4037968-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Determinante</subfield><subfield code="0">(DE-588)4138983-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Matrizenpolynom</subfield><subfield code="0">(DE-588)4169130-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="4"><subfield code="a">Lineares Gleichungssystem</subfield><subfield code="0">(DE-588)4035826-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="5"><subfield code="a">Lineare Kontrolltheorie</subfield><subfield code="0">(DE-588)4123657-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="6"><subfield code="a">Matrizenrechnung</subfield><subfield code="0">(DE-588)4126963-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Lineares Gleichungssystem</subfield><subfield code="0">(DE-588)4035826-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013037271&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-013037271</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| genre | 1\p (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV019709883 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T20:04:21Z |
| institution | BVB |
| isbn | 0691118027 9780691118024 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013037271 |
| oclc_num | 56319611 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-29T DE-706 DE-83 |
| owner_facet | DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-29T DE-706 DE-83 |
| physical | XXXV, 726 S. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Princeton Univ. Press |
| record_format | marc |
| spelling | Bernstein, Dennis S. 1954- Verfasser (DE-588)140693319 aut Matrix mathematics theory, facts, and formulas with application to linear systems theory Dennis S. Bernstein Princeton [u.a.] Princeton Univ. Press 2005 XXXV, 726 S. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and indexes Matrices Systèmes linéaires Linear systems Lineares Gleichungssystem (DE-588)4035826-4 gnd rswk-swf Matrizentheorie (DE-588)4128970-5 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 gnd rswk-swf Matrizenrechnung (DE-588)4126963-9 gnd rswk-swf Determinante (DE-588)4138983-9 gnd rswk-swf Matrizenpolynom (DE-588)4169130-1 gnd rswk-swf Lineare Kontrolltheorie (DE-588)4123657-9 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Matrizentheorie (DE-588)4128970-5 s Matrix Mathematik (DE-588)4037968-1 s Determinante (DE-588)4138983-9 s Matrizenpolynom (DE-588)4169130-1 s Lineares Gleichungssystem (DE-588)4035826-4 s Lineare Kontrolltheorie (DE-588)4123657-9 s Matrizenrechnung (DE-588)4126963-9 s 2\p DE-604 DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013037271&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bernstein, Dennis S. 1954- Matrix mathematics theory, facts, and formulas with application to linear systems theory Matrices Systèmes linéaires Linear systems Lineares Gleichungssystem (DE-588)4035826-4 gnd Matrizentheorie (DE-588)4128970-5 gnd Matrix Mathematik (DE-588)4037968-1 gnd Matrizenrechnung (DE-588)4126963-9 gnd Determinante (DE-588)4138983-9 gnd Matrizenpolynom (DE-588)4169130-1 gnd Lineare Kontrolltheorie (DE-588)4123657-9 gnd |
| subject_GND | (DE-588)4035826-4 (DE-588)4128970-5 (DE-588)4037968-1 (DE-588)4126963-9 (DE-588)4138983-9 (DE-588)4169130-1 (DE-588)4123657-9 (DE-588)4123623-3 |
| title | Matrix mathematics theory, facts, and formulas with application to linear systems theory |
| title_auth | Matrix mathematics theory, facts, and formulas with application to linear systems theory |
| title_exact_search | Matrix mathematics theory, facts, and formulas with application to linear systems theory |
| title_full | Matrix mathematics theory, facts, and formulas with application to linear systems theory Dennis S. Bernstein |
| title_fullStr | Matrix mathematics theory, facts, and formulas with application to linear systems theory Dennis S. Bernstein |
| title_full_unstemmed | Matrix mathematics theory, facts, and formulas with application to linear systems theory Dennis S. Bernstein |
| title_short | Matrix mathematics |
| title_sort | matrix mathematics theory facts and formulas with application to linear systems theory |
| title_sub | theory, facts, and formulas with application to linear systems theory |
| topic | Matrices Systèmes linéaires Linear systems Lineares Gleichungssystem (DE-588)4035826-4 gnd Matrizentheorie (DE-588)4128970-5 gnd Matrix Mathematik (DE-588)4037968-1 gnd Matrizenrechnung (DE-588)4126963-9 gnd Determinante (DE-588)4138983-9 gnd Matrizenpolynom (DE-588)4169130-1 gnd Lineare Kontrolltheorie (DE-588)4123657-9 gnd |
| topic_facet | Matrices Systèmes linéaires Linear systems Lineares Gleichungssystem Matrizentheorie Matrix Mathematik Matrizenrechnung Determinante Matrizenpolynom Lineare Kontrolltheorie Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013037271&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bernsteindenniss matrixmathematicstheoryfactsandformulaswithapplicationtolinearsystemstheory |