Derivations of generalized inverse using contour integration and interpolation polynomiyal

This paper deals with a representation of Generalized inverse (g-inverse) by the contour integral formula that supports the four major properties of g-inverse. Here we have used Cauchy’s integral formula. These are verified numerically. This paper also includes the derivation of g-inverse by using m...

Ausführliche Beschreibung

Bibliographische Detailangaben
1. Verfasser: Ahmed, Mohammad Maruf
Format: Artikel
Sprache:English
Veröffentlicht: BRAC University 2010
Schlagworte:
Online Zugang:http://hdl.handle.net/10361/365
Beschreibung
Zusammenfassung:This paper deals with a representation of Generalized inverse (g-inverse) by the contour integral formula that supports the four major properties of g-inverse. Here we have used Cauchy’s integral formula. These are verified numerically. This paper also includes the derivation of g-inverse by using minimal polynomial. Here we express A + as a Lagrange-Sylvester interpolation polynomial in powers of A,A*. Mathematica codes are used in these examples.