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...
1. Verfasser: | |
---|---|
Format: | Artikel |
Sprache: | English |
Veröffentlicht: |
BRAC University
2010
|
Schlagworte: | |
Online Zugang: | http://hdl.handle.net/10361/365 |
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. |
---|