MATLAB guide

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1. Verfasser: Higham, Desmond J. (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Philadelphia Soc. for Industrial and Applied Mathematics 2005
Ausgabe:2. ed.
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Datensatz im Suchindex

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adam_text SECOND EDITION DESMOND J. HIGHAM UNIVERSITY OF STRATHCLYDE GLASGOW, SCOTLAND NICHOLAS J. HIGHAM UNIVERSITY OF MANCHESTER MANCHESTER, ENGLAND SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS PHILADELPHIA CONTENTS LIST OF FIGURES XI LIST OF TABLES XV LIST OF M-FILES XVII PREFACE XIX 1 A BRIEF TUTORIAL 1 2 BASICS 23 2.1 INTERACTION AND SCRIPT FILES 23 2.2 MORE FUNDAMENTALS 24 3 DISTINCTIVE FEATURES OF MATLAB 33 3.1 AUTOMATIC STORAGE ALLOCATION 33 3.2 VARIABLE ARGUMENTS LISTS 33 3.3 COMPLEX ARRAYS AND ARITHMETIC 34 4 ARITHMETIC 37 4.1 IEEE ARITHMETIC 37 4.2 PRECEDENCE 39 4.3 MATHEMATICAL FUNCTIONS 39 4.4 OTHER DATA TYPES 40 5 MATRICES 45 5.1 MATRIX GENERATION 45 5.2 SUBSCRIPTING AND THE COLON NOTATION 50 5.3 MATRIX AND ARRAY OPERATIONS 54 5.4 MATRIX MANIPULATION 57 5.5 DATA ANALYSIS 59 6 OPERATORS AND FLOW CONTROL 63 6.1 RELATIONAL AND LOGICAL OPERATORS 63 6.2 FLOW CONTROL 69 7 M-FILES 75 7.1 SCRIPTS AND FUNCTIONS 75 7.2 NAMING AND EDITING M-FILES 81 7.3 WORKING WITH M-FILES AND THE MATLAB PATH 82 7.4 STARTUP 83 VII VIII CONTENTS 7.5 COMMAND/FUNCTION DUALITY 84 8 GRAPHICS 87 8.1 TWO-DIMENSIONAL GRAPHICS 87 8.1.1 BASIC PLOTS 87 8.1.2 AXES AND ANNOTATION 91 8.1.3 MULTIPLE PLOTS IN A FIGURE 97 8.2 THREE-DIMENSIONAL GRAPHICS 101 8.3 SPECIALIZED GRAPHS FOR DISPLAYING DATA ILL 8.4 SAVING AND PRINTING FIGURES 116 8.5 ON THINGS NOT TREATED 117 9 LINEAR ALGEBRA 121 9.1 NORMS AND CONDITION NUMBERS 121 9.2 LINEAR EQUATIONS 123 9.2.1 SQUARE SYSTEM 123 9.2.2 OVERDETERMINED SYSTEM 125 9.2.3 UNDERDETERMINED SYSTEM 126 9.3 INVERSE, PSEUDO-INVERSE, AND DETERMINANT 126 9.4 LU AND CHOLESKY FACTORIZATIONS 128 9.5 QR FACTORIZATION 129 9.6 SINGULAR VALUE DECOMPOSITION 130 9.7 EIGENVALUE PROBLEMS 132 9.7.1 EIGENVALUES 132 9.7.2 MORE ABOUT EIGENVALUE COMPUTATIONS 134 9.7.3 GENERALIZED EIGENVALUES 134 9.8 ITERATIVE LINEAR EQUATION AND EIGENPROBLEM SOLVERS 136 9.9 FUNCTIONS OF A MATRIX 139 10 MORE ON FUNCTIONS 143 10.1 FUNCTION HANDLES 143 10.2 ANONYMOUS FUNCTIONS 144 10.3 INLINE OBJECTS 146 10.4 SUBFUNCTIONS 147 10.5 DEFAULT INPUT ARGUMENTS 149 10.6 VARIABLE NUMBERS OF ARGUMENTS 150 10.7 NESTED FUNCTIONS 151 10.8 PRIVATE FUNCTIONS 152 10.9 RECURSIVE FUNCTIONS 153 10.10 GLOBAL VARIABLES 156 10.11 EXEMPLARY FUNCTIONS IN MATLAB 156 11 NUMERICAL METHODS: PART I 159 11.1 POLYNOMIALS AND DATA FITTING 159 11.2 NONLINEAR EQUATIONS 164 11.3 OPTIMIZATION 168 11.4 THE FAST FOURIER TRANSFORM 169 CONTENTS IX 12 NUMERICAL METHODS: PART II 171 12.1 QUADRATURE 171 12.2 ORDINARY DIFFERENTIAL EQUATIONS 175 12.2.1 EXAMPLES WITH ODE45 175 12.2.2 CASE STUDY: PURSUIT PROBLEM WITH EVENT LOCATION 183 12.2.3 STIFF PROBLEMS, DIFFERENTIAL-ALGEBRAIC EQUATIONS, AND THE CHOICE OF SOLVER 184 12.3 BOUNDARY VALUE PROBLEMS WITH BVP4C 195 12.4 DELAY-DIFFERENTIAL EQUATIONS WITH DDE23 202 12.5 PARTIAL DIFFERENTIAL EQUATIONS WITH PDEPE 205 13 INPUT AND OUTPUT 215 13.1 USER INPUT 215 13.2 OUTPUT TO THE SCREEN 216 13.3 FILE INPUT AND OUTPUT 218 14 TROUBLESHOOTING 221 14.1 ERRORS 221 14.2 WARNINGS 223 14.3 DEBUGGING 224 14.4 PITFALLS 226 15 SPARSE MATRICES 229 15.1 SPARSE MATRIX GENERATION 229 15.2 LINEAR ALGEBRA 232 16 FURTHER M-FILES 237 16.1 ELEMENTS OF M-FILE STYLE 237 16.2 CHECKING AND COMPARING M-FILES 238 16.3 PROFILING 239 16.4 CREATING A TOOLBOX 241 17 HANDLE GRAPHICS 245 17.1 OBJECTS AND PROPERTIES 245 17.2 ROOT AND DEFAULT PROPERTIES 251 17.3 ANIMATION 252 17.4 EXAMPLES 254 18 OTHER DATA TYPES AND MULTIDIMENSIONAL ARRAYS 265 18.1 STRINGS 265 18.2 MULTIDIMENSIONAL ARRAYS 268 18.3 STRUCTURES AND CELL ARRAYS 270 19 THE SYMBOLIC MATH TOOLBOX 277 19.1 EQUATION SOLVING 277 19.2 CALCULUS 280 19.3 LINEAR ALGEBRA 286 19.4 POLYNOMIALS AND RATIONALS 289 19.5 VARIABLE PRECISION ARITHMETIC 292 19.6 OTHER FEATURES 295 CONTENTS 20 OPTIMIZING M-FILES 297 20.1 VECTORIZATION 297 20.2 PREALLOCATING ARRAYS 299 20.3 MISCELLANEOUS OPTIMIZATIONS 300 20.4 ILLUSTRATION: BIFURCATION DIAGRAM 301 21 TRICKS AND TIPS 305 21.1 EMPTY ARRAYS 305 21.2 EXPLOITING INFINITIES 306 21.3 PERMUTATIONS 306 21.4 RANK 1 MATRICES 308 21.5 SET OPERATIONS 309 21.6 SUBSCRIPTING MATRICES AS VECTORS 309 21.7 AVOIDING IF STATEMENTS 311 21.8 TRIANGULAR AND SYMMETRIC MATRICES 311 22 CASE STUDIES 313 22.1 INTRODUCTION 313 22.2 BRACHISTOCHRONE 313 22.3 SMALL-WORLD NETWORKS 314 22.4 PERFORMANCE PROFILES 320 22.5 MULTIDIMENSIONAL CALCULUS 326 22.6 L-SYSTEMS AND TURTLE GRAPHICS 330 22.7 BLACK-SCHOLES DELTA SURFACE 335 22.8 CHUTES AND LADDERS 338 22.9 PYTHAGOREAN SUM 341 22.10 FISHER S EQUATION 344 A THE TOP 111 MATLAB FUNCTIONS 349 B CHANGES IN MATLAB 355 B.I MATLAB 5.0 355 B.2 MATLAB 5.3 355 B.3 MATLAB 6 355 B.4 MATLAB 6.5 356 B.5 MATLAB 7.0 356 C RESOURCES GLOSSARY BIBLIOGRAPHY INDEX 357 359 361 369
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spellingShingle Higham, Desmond J.
MATLAB guide
MATLAB
Dataprocessing gtt
MATLAB gtt
Numerieke methoden gtt
Software gtt
Datenverarbeitung
Numerical analysis Data processing
MATLAB 6.0 (DE-588)4609587-1 gnd
Numerische Mathematik (DE-588)4042805-9 gnd
MATLAB 7.0 (DE-588)4792335-0 gnd
MATLAB (DE-588)4329066-8 gnd
EDV-Revision (DE-588)4252248-1 gnd
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(DE-588)4042805-9
(DE-588)4792335-0
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title MATLAB guide
title_auth MATLAB guide
title_exact_search MATLAB guide
title_full MATLAB guide Desmond J. Higham ; Nicholas J. Higham
title_fullStr MATLAB guide Desmond J. Higham ; Nicholas J. Higham
title_full_unstemmed MATLAB guide Desmond J. Higham ; Nicholas J. Higham
title_short MATLAB guide
title_sort matlab guide
topic MATLAB
Dataprocessing gtt
MATLAB gtt
Numerieke methoden gtt
Software gtt
Datenverarbeitung
Numerical analysis Data processing
MATLAB 6.0 (DE-588)4609587-1 gnd
Numerische Mathematik (DE-588)4042805-9 gnd
MATLAB 7.0 (DE-588)4792335-0 gnd
MATLAB (DE-588)4329066-8 gnd
EDV-Revision (DE-588)4252248-1 gnd
topic_facet MATLAB
Dataprocessing
Numerieke methoden
Software
Datenverarbeitung
Numerical analysis Data processing
MATLAB 6.0
Numerische Mathematik
MATLAB 7.0
EDV-Revision
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