Matrix Partial Orders, Shorted Operators And Applications (eBook)

Bhimasankaram P Bhimasankaram, Malik Saroj B Malik, Mitra Sujit Kumar Mitra (Autoren)

eBook Download: PDF

2010
464 Seiten
World Scientific Publishing Company (Verlag)
978-981-4468-78-7 (ISBN)

Infos

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 Lowner 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

Produkt-Details

• Erscheint lt. Verlag: 31.3.2010
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
• ISBN-10: 981-4468-78-9 / 9814468789
• ISBN-13: 978-981-4468-78-7 / 9789814468787