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Título: Matrix Partial Orders, Shorted Operators And Applications (Series In Algebra Vol | |
| Autor: Sujit Kumar Mitra; P. Bhimasankaram; Saroj B. Malik | Precio: $1237.50 | |
| Editorial: World Scientific Publishing Co. Inc | Año: 2010 | |
| Tema: Atlas de Carreteras, Algebra, Matematicas | Edición: 1ª | |
| Sinopsis | ISBN: 9789812838445 | |
| The present monograph on matrix partial orders, the first on this topic, makes a unique presentation of many partial orders on matrices that have fascinated mathematicians for their beauty and applied scientists for their wide-ranging application potential. Except for the Löwner order, the partial orders considered are relatively new and came into being in the late 1970s. After a detailed introduction to generalized inverses and decompositions, the three basic partial orders _ namely, the minus, the sharp and the star _ and the corresponding one-sided orders are presented using various generalized inverses. The authors then give a unified theory of all these partial orders as well as study the parallel sums and shorted matrices, the latter being studied at great length. Partial orders of modified matrices are a new addition. Finally, applications are given in statistics and electrical network theory. | ||
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