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| Preface | ||
| Ch. 1 | Preliminaries | 1 |
| 1.1 | Matrix theoretic background | 1 |
| 1.2 | Positive semidefinite matrices | 9 |
| 1.3 | Nonnegative matrices and M-matrices | 18 |
| 1.4 | Schur complements | 24 |
| 1.5 | Graphs | 30 |
| 1.6 | Convex cones | 41 |
| 1.7 | The PSD completion problem | 56 |
| Ch. 2 | Complete positivity | 61 |
| 2.1 | Definition and Basic properties | 61 |
| 2.2 | Cones of completely positive matrices | 71 |
| 2.3 | Small matrices | 73 |
| 2.4 | Complete positivity and the comparison matrix | 78 |
| 2.5 | Completely positive graphs | 83 |
| 2.6 | Completely positive matrices whose graphs are not completely positive | 97 |
| 2.7 | Square factorizations | 122 |
| 2.8 | Functions of completely positive matrices | 129 |
| 2.9 | The CP completion problem | 133 |
| Ch. 3 | CP rank | 139 |
| 3.1 | Definition and basic results | 139 |
| 3.2 | Completely positive matrices of a given rank | 146 |
| 3.3 | Completely positive matrices of a given order | 156 |
| 3.4 | When is the cp-rank equal to the rank? | 177 |
| Bibliography | 193 | |
| Notation | 199 | |
| Index | 203 |
| Price | Condition | Delivery | Seller | Action |
| $110.29 | Digital |
| WonderClub |
Gary Squires
reviewed Completely Positive Matrices on August 13, 2009
Completely Positive Matrices
High level survey of some interesting topics on the edge of math and science. best chapters were the ones on Goedel and on Quantum measurements. Accessible read despite some very complex ideas. So much we do not understand.
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Add Completely Positive Matrices, Completely positive matrices (not to be confused with the completely positive maps in operator theory) arise from the related concept of completely positive quadratic forms in the theory of block designs. In this graduate or advanced undergraduate text, B, Completely Positive Matrices to the inventory that you are selling on WonderClubX
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Add Completely Positive Matrices, Completely positive matrices (not to be confused with the completely positive maps in operator theory) arise from the related concept of completely positive quadratic forms in the theory of block designs. In this graduate or advanced undergraduate text, B, Completely Positive Matrices to your collection on WonderClub |
