Matrix Partial Orders Shorted Operators and Applications is popular PDF and ePub book, written by Sujit Kumar Mitra in 2010, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Matrix Partial Orders Shorted Operators and Applications can be Read Online from any device for your convenience.
Matrix Partial Orders Shorted Operators and Applications Book PDF Summary
The present monograph on matrix partial orders, appearing for the first time, is 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 Lwner 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. This is followed by a study of the Lwner order and a limited treatment of majorization (there is an abundance of literature available on majorization). The authors also 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.
Detail Book of Matrix Partial Orders Shorted Operators and Applications PDF
- Author : Sujit Kumar Mitra
- Release : 21 September 2024
- Publisher : World Scientific
- ISBN : 9789812838445
- Genre : Mathematics
- Total Page : 463 pages
- Language : English
- PDF File Size : 21,5 Mb
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