Matrix Partial Orders, Shorted Operators And Applications

Kirjan Matrix Partial Orders, Shorted Operators And Applications (2010) on kirjoittanut P Bhimasankaram. Kirjan kieli on englanti, ja sen on kustantanut World Scientific Publishing Co Pte Ltd. Kirja on laajuudeltaan 464 sivua ja se on sidottu.

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. *Deceased