Wow! eBook
Matrix Partial Orders, Shorted Operators And Applications
Author(s): Sujit Kumar Mitra (Author), P Bhimasankaram (Editor), Saroj B Malik (Editor)
- Publisher: Wspc
- Publication Date: 31 Mar. 2010
- Language: English
- Print length: 464 pages
- ISBN-10: B00IEY66DY
Book 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 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.
