MATRIX PARTIAL ORDERS, SHORTED. (V10)

Al Sujit Kumar Mitra Et

ISBN 10: 9812838449 / ISBN 13: 9789812838445

Edité par World Scientific, 2010

A propos de cet article

nach der Bestellung gedruckt Neuware - Printed after ordering - The present monograph on matrix partial orders, appearing for the first time, is 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 Lwner 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. This is followed by a study of the Lwner order and a limited treatment of majorization (there is an abundance of literature available on majorization). The authors also 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.

N° de réf. du vendeur 9789812838445

Détails bibliographiques

• Titre: MATRIX PARTIAL ORDERS, SHORTED. (V10)
• Éditeur: World Scientific
• Date de parution: 2010
• Langue: anglais
• ISBN à 10 chiffres: 9812838449
• ISBN à 13 chiffres: 9789812838445
• Reliure: Buch
• État de l'article: Neu
• Dimensions: 235 L x 157 H x 29 P (en millimètres) 235 millimètres de largeur par 157 millimètres de hauteur par 29 millimètres de profondeur
• Poids: 820 grammes

A propos de ce titre

Synopsis

The present monograph on matrix partial orders, appearing for the first time, is 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. This is followed by a study of the Lowner order and a limited treatment of majorization (there is an abundance of literature available on majorization). The authors also 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.