Matrix Partial Orders, Shorted Operators And Applications

di P Bhimasankaram (Autore)

Saroj B Malik (Autore)

Sujit Kumar Mitra (Autore)

World Scientific Publishing Co Pte Ltd, 2010

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

• Autore: P Bhimasankaram, Saroj B Malik, Sujit Kumar Mitra
• Editore: World Scientific Publishing Co Pte Ltd
• Collana: Series In Algebra
• Anno: 2010
• Rilegatura: Hardback
• Pagine: 464 p.
• EAN: 9789812838445

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