Elements of matrix modeling and computing with MATLAB:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton
Chapman & Hall/CRC
c2007
|
| Subjects: | |
| Online Access: | Table of contents only Publisher description Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (p. 397) and index |
| Physical Description: | XVI, 402 S. Illl., graph. Darst. 25 cm |
| ISBN: | 1584886277 |
Staff View
MARC
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| 245 | 1 | 0 | |a Elements of matrix modeling and computing with MATLAB |c Robert E. White |
| 264 | 1 | |a Boca Raton |b Chapman & Hall/CRC |c c2007 | |
| 300 | |a XVI, 402 S. |b Illl., graph. Darst. |c 25 cm | ||
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| 500 | |a Includes bibliographical references (p. 397) and index | ||
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| 650 | 4 | |a Matrices - Informatique | |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Matrices |x Data processing | |
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| adam_text | Titel: Elements of matrix modeling and computing with MATLAB
Autor: White, Robert E
Jahr: 2007
Contents
List of Figures vii
List of Tables xi
Preface xiii
Introduction xv
1 Vectors in the Plane 1
1.1 Floating Point and Complex Numbers............... 1
1.2 Complex Valued Functions ..................... 10
1.3 Vectors in R2............................. 19
1.4 Dot Product and Work........................ 27
1.5 Lines and Curves in R2 and C.................... 38
2 Vectors in Space 47
2.1 Vectors and Dot Product ...................... 47
2.2 Cross and Box Products....................... 56
2.3 Lines and Curves in K3 ....................... 67
2.4 Planes in ffi3.............................. 76
2.5 Extensions to Kn........................... 86
3 Ax = d: Unique Solution 95
3.1 Matrix Models............................ 95
3.2 Matrix Products........................... 105
3.3 Special Cases of Ax = d....................... 1J7
3.4 Row Operations and Gauss Elimination.............. 127
3.5 Inverse Matrices ........................... 138
3.6 LU Factorization........................... 149
3.7 Determinants and Cramer s Rule.................. 159
4 Ax = d: Least Squares Solution 171
4.1 Curve Fitting to Data........................171
4.2 Normal Equations..........................182
Vi CONTENTS
4.3 Multilinear Data Fitting.......................191
4.4 Parameter Identification.......................199
5 Ax = d: Multiple Solutions 209
5.1 Subspaces and Solutions in M3 ...................209
5.2 Row Echelon Form..........................220
5.3 Nullspaces and Equilibrium Equations...............230
6 Linear Initial Value Problems 243
6.1 First Order Linear..........................243
6.2 Second Order Linear.........................250
6.3 Homogeneous and Complex Solution................257
6.4 Nonhomogeneous Differential Equations..............263
6.5 System Form of Linear Second Order................272
7 Eigenvalues and Differential Equations 281
7.1 Solution of x = Ax by Elimination.................281
7.2 Real Eigenvalues and Eigenvectors.................289
7.3 Solution of x = Ax + f(r)......................296
8 Image Processing in Space Domain 311
8.1 Matrices and Images.........................311
8.2 Contrast and Histograms ......................321
8.3 Blurring and Sharpening.......................331
9 Image Processing in Frequency Domain 343
9.1 Laplace and Fourier Transforms...................343
9.2 Properties of DFT..........................351
9.3 DFT in Kn x Kn...........................361
9.4 Frequency Filters in 1 x En....................370
A Solutions to Odd Exercises 381
Bibliography 397
Index 399
|
| adam_txt |
Titel: Elements of matrix modeling and computing with MATLAB
Autor: White, Robert E
Jahr: 2007
Contents
List of Figures vii
List of Tables xi
Preface xiii
Introduction xv
1 Vectors in the Plane 1
1.1 Floating Point and Complex Numbers. 1
1.2 Complex Valued Functions . 10
1.3 Vectors in R2. 19
1.4 Dot Product and Work. 27
1.5 Lines and Curves in R2 and C. 38
2 Vectors in Space 47
2.1 Vectors and Dot Product . 47
2.2 Cross and Box Products. 56
2.3 Lines and Curves in K3 . 67
2.4 Planes in ffi3. 76
2.5 Extensions to Kn. 86
3 Ax = d: Unique Solution 95
3.1 Matrix Models. 95
3.2 Matrix Products. 105
3.3 Special Cases of Ax = d. 1J7
3.4 Row Operations and Gauss Elimination. 127
3.5 Inverse Matrices . 138
3.6 LU Factorization. 149
3.7 Determinants and Cramer's Rule. 159
4 Ax = d: Least Squares Solution 171
4.1 Curve Fitting to Data.171
4.2 Normal Equations.182
Vi CONTENTS
4.3 Multilinear Data Fitting.191
4.4 Parameter Identification.199
5 Ax = d: Multiple Solutions 209
5.1 Subspaces and Solutions in M3 .209
5.2 Row Echelon Form.220
5.3 Nullspaces and Equilibrium Equations.230
6 Linear Initial Value Problems 243
6.1 First Order Linear.243
6.2 Second Order Linear.250
6.3 Homogeneous and Complex Solution.257
6.4 Nonhomogeneous Differential Equations.263
6.5 System Form of Linear Second Order.272
7 Eigenvalues and Differential Equations 281
7.1 Solution of x' = Ax by Elimination.281
7.2 Real Eigenvalues and Eigenvectors.289
7.3 Solution of x' = Ax + f(r).296
8 Image Processing in Space Domain 311
8.1 Matrices and Images.311
8.2 Contrast and Histograms .321
8.3 Blurring and Sharpening.331
9 Image Processing in Frequency Domain 343
9.1 Laplace and Fourier Transforms.343
9.2 Properties of DFT.351
9.3 DFT in Kn x Kn.361
9.4 Frequency Filters in 1" x En.370
A Solutions to Odd Exercises 381
Bibliography 397
Index 399 |
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| spelling | White, Robert E. 1946- Verfasser (DE-588)129384968 aut Elements of matrix modeling and computing with MATLAB Robert E. White Boca Raton Chapman & Hall/CRC c2007 XVI, 402 S. Illl., graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references (p. 397) and index MATLAB Matrices - Informatique Datenverarbeitung Matrices Data processing http://www.loc.gov/catdir/toc/ecip0617/2006024089.html Table of contents only http://www.loc.gov/catdir/enhancements/fy0664/2006024089-d.html Publisher description HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016081512&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | White, Robert E. 1946- Elements of matrix modeling and computing with MATLAB MATLAB Matrices - Informatique Datenverarbeitung Matrices Data processing |
| title | Elements of matrix modeling and computing with MATLAB |
| title_auth | Elements of matrix modeling and computing with MATLAB |
| title_exact_search | Elements of matrix modeling and computing with MATLAB |
| title_exact_search_txtP | Elements of matrix modeling and computing with MATLAB |
| title_full | Elements of matrix modeling and computing with MATLAB Robert E. White |
| title_fullStr | Elements of matrix modeling and computing with MATLAB Robert E. White |
| title_full_unstemmed | Elements of matrix modeling and computing with MATLAB Robert E. White |
| title_short | Elements of matrix modeling and computing with MATLAB |
| title_sort | elements of matrix modeling and computing with matlab |
| topic | MATLAB Matrices - Informatique Datenverarbeitung Matrices Data processing |
| topic_facet | MATLAB Matrices - Informatique Datenverarbeitung Matrices Data processing |
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