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| Preface | ||
| 1 | Introduction to Structural Approach - Overview of the Book | 1 |
| 1.1 | Structural Approach to Index of DAE | 1 |
| 1.2 | What Is Combinatorial Structure? | 10 |
| 1.3 | Mathematics on Mixed Polynomial Matrices | 20 |
| 2 | Matrix, Graph, and Matroid | 31 |
| 2.1 | Matrix | 31 |
| 2.2 | Graph | 43 |
| 2.3 | Matroid | 71 |
| 3 | Physical Observations for Mixed Matrix Formulation | 107 |
| 3.1 | Mixed Matrix for Modeling Two Kinds of Numbers | 107 |
| 3.2 | Algebraic Implication of Dimensional Consistency | 120 |
| 3.3 | Physical Matrix | 126 |
| 4 | Theory and Application of Mixed Matrices | 131 |
| 4.1 | Mixed Matrix and Layered Mixed Matrix | 131 |
| 4.2 | Rank of Mixed Matrices | 134 |
| 4.3 | Structural Solvability of Systems of Equations | 153 |
| 4.4 | Combinatorial Canonical Form of LM-matrices | 167 |
| 4.5 | Irreducibility of LM-matrices | 202 |
| 4.6 | Decomposition of Mixed Matrices | 211 |
| 4.7 | Related Decompositions | 221 |
| 4.8 | Partitioned Matrix | 230 |
| 4.9 | Principal Structures of LM-matrices | 250 |
| 5 | Polynomial Matrix and Valuated Matroid | 271 |
| 5.1 | Polynomial/Rational Matrix | 271 |
| 5.2 | Valuated Matroid | 280 |
| 6 | Theory and Application of Mixed Polynomial Matrices | 331 |
| 6.1 | Descriptions of Dynamical Systems | 331 |
| 6.2 | Degree of Determinant of Mixed Polynomial Matrices | 335 |
| 6.3 | Smith Form of Mixed Polynomial Matrices | 355 |
| 6.4 | Controllability of Dynamical Systems | 364 |
| 6.5 | Fixed Modes of Decentralized Systems | 384 |
| 7 | Further Topics | 403 |
| 7.1 | Combinatorial Relaxation Algorithm | 403 |
| 7.2 | Combinatorial System Theory | 418 |
| 7.3 | Mixed Skew-symmetric Matrix | 431 |
| References | 453 | |
| Notation Table | 469 | |
| Index | 479 |
| Price | Condition | Delivery | Seller | Action |
| $134.64 | Digital |
| WonderClub |
John Gibli
reviewed Matrices and Matroids for Systems Analysis on April 20, 2019
Matrices and Matroids for Systems Analysis
An easy read since I finished up a stats course last term (I got to skip most of the math explanations). It was an interesting look at probability and I think it would be a good starter book for those who aren't very well-versed in math. I certainly wish I'd found this when I started learning Probability myself as the examples were so thoroughly explained in essentially layman's terms and everything was very easy to understand.
Also with an example entirely about poisson distribution of chocolate chips in the baking of cookies, how can you go wrong? :P
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Add Matrices and Matroids for Systems Analysis, A matroid is an abstract mathematical structure that captures combinatorial properties of matrices. This book offers a unique introduction to matroid theory, emphasizing motivations from matrix theory and applications to systems analysis. This book ser, Matrices and Matroids for Systems Analysis to the inventory that you are selling on WonderClubX
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Add Matrices and Matroids for Systems Analysis, A matroid is an abstract mathematical structure that captures combinatorial properties of matrices. This book offers a unique introduction to matroid theory, emphasizing motivations from matrix theory and applications to systems analysis. This book ser, Matrices and Matroids for Systems Analysis to your collection on WonderClub |