Numerical computing with MATLAB:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia
Soc. for Industrial and Applied Mathematics
2004
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XI, 336 S. Ill., graph. Darst. |
| ISBN: | 0898715601 9780898715606 |
Internformat
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| 300 | |a XI, 336 S. |b Ill., graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804132880347037696 |
|---|---|
| adam_text | NUMERICAL COMPUTING WITH MATLAB CLEVE B. MOLER THE MATHWORKS, INC.
SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS PHILADELPHIA CONTENTS
PREFACE IX 1 INTRODUCTION TO MATLAB 1 1.1 THE GOLDEN RATIO 1 1.2
FIBONACCI NUMBERS 7 1.3 FRACTAL FERN 13 1.4 MAGIC SQUARES 18 1.5
CRYPTOGRAPHY 26 1.6 THE 3N + 1 SEQUENCE 31 1.7 FLOATING-POINT ARITHMETIC
33 1.8 FURTHER READING 41 EXERCISES 41 2 LINEAR EQUATIONS 53 2.1 SOLVING
LINEAR SYSTEMS 53 2.2 THE MATLAB BACKSLASH OPERATOR 54 2.3 A 3-BY-3
EXAMPLE 54 2.4 PERMUTATION AND TRIANGULAR MATRICES 56 2.5 LU
FACTORIZATION 57 2.6 WHY IS PIVOTING NECESSARY? 58 2.7 LUTX, BSLASHTX,
LUGUI 60 2.8 EFFECT OF ROUNDOFF ERRORS 63 2.9 NORMS AND CONDITION
NUMBERS 66 2.10 SPARSE MATRICES AND BAND MATRICES 72 2.11 PAGERANK AND
MARKOV CHAINS 74 2.12 FURTHER READING 81 EXERCISES 82 3 INTERPOLATION 93
3.1 THE INTERPOLATING POLYNOMIAL 93 3.2 PIECEWISE LINEAR INTERPOLATION
98 3.3 PIECEWISE CUBIC HERMITE INTERPOLATION 99 3.4 SHAPE-PRESERVING
PIECEWISE CUBIC 100 3.5 CUBIC SPLINE 102 VI CONTENTS 3.6 PCHIPTX,
SPLINETX 105 3.7 INTERPGUI 108 EXERCISES 110 4 ZEROS AND ROOTS 117 4.1
BISECTION 117 4.2 NEWTON S METHOD 119 4.3 A PERVERSE EXAMPLE 121 4.4
SECANT METHOD 122 4.5 INVERSE QUADRATIC INTERPOLATION 123 4.6 ZEROIN 124
4.7 FZEROTX, FEVAL 124 4.8 FZEROGUI 129 4.9 VALUE FINDING AND REVERSE
INTERPOLATION 132 4.10 OPTIMIZATION AND FMINTX 132 EXERCISES 135 5 LEAST
SQUARES 141 5.1 MODELS AND CURVE FITTING 141 5.2 NORMS 143 5.3 CENSUSGUI
144 5.4 HOUSEHOLDER REFLECTIONS 145 5.5 THE QR FACTORIZATION 147 5.6
PSEUDOINVERSE 152 5.7 RANK DEFICIENCY 154 5.8 SEPARABLE LEAST SQUARES
156 5.9 FURTHER READING 159 EXERCISES 159 6 QUADRATURE 167 6.1 ADAPTIVE
QUADRATURE 167 6.2 BASIC QUADRATURE RULES 168 6.3 QUADTX, QUADGUI 170
6.4 SPECIFYING INTEGRANDS 173 6.5 PERFORMANCE 175 6.6 INTEGRATING
DISCRETE DATA 177 6.7 FURTHER READING 179 EXERCISES 179 7 ORDINARY
DIFFERENTIAL EQUATIONS 187 7.1 INTEGRATING DIFFERENTIAL EQUATIONS 187
7.2 SYSTEMS OF EQUATIONS 188 7.3 LINEARIZED DIFFERENTIAL EQUATIONS 189
7.4 SINGLE-STEP METHODS 191 7.5 THE BS23 ALGORITHM 194 7.6 ODE23TX 196
7.7 EXAMPLES 199 CONTENTS VII 7.8 LORENZ ATTRACTOR 202 7.9 STIFFNESS 204
7.10 EVENTS 208 7.11 MULTISTEP METHODS 212 7.12 THE MATLAB ODE SOLVERS
212 7.13 ERRORS 213 7.14 PERFORMANCE 217 7.15 FURTHER READING 219
EXERCISES 219 8 FOURIER ANALYSIS 237 8.1 TOUCH-TONE DIALING 237 8.2
FINITE FOURIER TRANSFORM 241 8.3 F F TGUI 242 8.4 SUNSPOTS 244 8.5
PERIODIC TIME SERIES 248 8.6 FAST FINITE FOURIER TRANSFORM 249 8.7 F F
TTX 250 8.8 F F TMATRIX 251 8.9 OTHER FOURIER TRANSFORMS AND SERIES 252
8.10 FURTHER READING 254 EXERCISES 254 9 RANDOM NUMBERS 257 9.1
PSEUDORANDOM NUMBERS 257 9.2 UNIFORM DISTRIBUTION 257 9.3 NORMAL
DISTRIBUTION 260 9.4 RANDTX, RANDNTX 263 EXERCISES 265 10 EIGENVALUES
AND SINGULAR VALUES 269 10.1 EIGENVALUE AND SINGULAR VALUE
DECOMPOSITIONS 269 10.2 A SMALL EXAMPLE 272 10.3 EIGSHOW 273 10.4
CHARACTERISTIC POLYNOMIAL *. 275 10.5 SYMMETRIC AND HERMITIAN MATRICES
276 10.6 EIGENVALUE SENSITIVITY AND ACCURACY 277 10.7 SINGULAR VALUE
SENSITIVITY AND ACCURACY 283 10.8 JORDAN AND SCHUR FORMS 284 10.9 THE QR
ALGORITHM 285 10.10 EIGSVDGUI 287 10.11 PRINCIPAL COMPONENTS 289 10.12
CIRCLE GENERATOR 293 10.13 FURTHER READING 298 EXERCISES 298 VIII
CONTENTS 11 PARTIAL DIFFERENTIAL EQUATIONS 307 11.1 MODEL PROBLEMS 307
11.2 FINITE DIFFERENCE METHODS 308 11.3 MATRIX REPRESENTATION 310 11.4
NUMERICAL STABILITY 312 11.5 THE L-SHAPED MEMBRANE 314 EXERCISES 319
BIBLIOGRAPHY 327 INDEX 332
|
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| indexdate | 2024-07-09T19:59:51Z |
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| isbn | 0898715601 9780898715606 |
| language | English |
| lccn | 2004045360 |
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| spelling | Moler, Cleve B. 1939- Verfasser (DE-588)107887975 aut Numerical computing with MATLAB Cleve B. Moler Philadelphia Soc. for Industrial and Applied Mathematics 2004 XI, 336 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index MATLAB Data-analyse gtt MATLAB gtt Datenverarbeitung Numerical analysis Data processing MATLAB (DE-588)4329066-8 gnd rswk-swf MATLAB (DE-588)4329066-8 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012879502&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Moler, Cleve B. 1939- Numerical computing with MATLAB MATLAB Data-analyse gtt MATLAB gtt Datenverarbeitung Numerical analysis Data processing MATLAB (DE-588)4329066-8 gnd |
| subject_GND | (DE-588)4329066-8 |
| title | Numerical computing with MATLAB |
| title_auth | Numerical computing with MATLAB |
| title_exact_search | Numerical computing with MATLAB |
| title_full | Numerical computing with MATLAB Cleve B. Moler |
| title_fullStr | Numerical computing with MATLAB Cleve B. Moler |
| title_full_unstemmed | Numerical computing with MATLAB Cleve B. Moler |
| title_short | Numerical computing with MATLAB |
| title_sort | numerical computing with matlab |
| topic | MATLAB Data-analyse gtt MATLAB gtt Datenverarbeitung Numerical analysis Data processing MATLAB (DE-588)4329066-8 gnd |
| topic_facet | MATLAB Data-analyse Datenverarbeitung Numerical analysis Data processing |
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