By Sujit Kumar Mitra
The current monograph on matrix partial orders, the 1st in this subject, makes a special presentation of many partial orders on matrices that experience involved mathematicians for his or her attractiveness and utilized scientists for his or her wide-ranging program strength. with the exception of the Löwner order, the partial orders thought of are quite new and got here into being within the past due Nineteen Seventies. After a close advent to generalized inverses and decompositions, the 3 easy partial orders particularly, the minus, the pointy and the celebrity and the corresponding one-sided orders are offered utilizing numerous generalized inverses. The authors then provide a unified conception of most of these partial orders in addition to learn the parallel sums and shorted matrices, the latter being studied at nice size. Partial orders of changed matrices are a brand new addition. ultimately, functions are given in records and electric community conception.