Matrix Partial Orders, Shorted Operators And Applications (eBook)

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

eBook Download: PDF

2010
464 Seiten
World Scientific Publishing Company (Verlag)
978-981-283-845-2 (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 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 â namely, the minus, the sharp and the star â 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.âDeceased

Produkt-Details

• Erscheint lt. Verlag: 31.3.2010
• Reihe/Serie: Series In Algebra
• Verlagsort: Singapore
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
• ISBN-10: 981-283-845-7 / 9812838457
• ISBN-13: 978-981-283-845-2 / 9789812838452