| Matrix Partial Orders, Shorted... (V10) Contributor(s): Sujit Kumar Mitra Et Al (Author) |
|
 |
ISBN: 9812838449 ISBN-13: 9789812838445 Publisher: World Scientific Publishing Company OUR PRICE: $113.05 Product Type: Hardcover - Other Formats Published: May 2010 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - General - Mathematics | Probability & Statistics - General - Technology & Engineering | Electrical |
| Dewey: 512.943 |
| Series: Series in Algebra |
| Physical Information: 1.2" H x 6.1" W x 9" (1.75 lbs) 464 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 L wner 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.∗Deceased |