Derivations of generalized inverse using contour integration and interpolation polynomiyal

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...

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Bibliographic Details
Main Author: Ahmed, Mohammad Maruf
Format: Article
Language:English
Published: BRAC University 2010
Subjects:
Contour integral
Minimal polynomial
inconsistent system
eigenvalue
Online Access:http://hdl.handle.net/10361/365
id 10361-365
record_format dspace
spelling 10361-3652019-09-29T05:46:56Z Derivations of generalized inverse using contour integration and interpolation polynomiyal Ahmed, Mohammad Maruf Contour integral Minimal polynomial inconsistent system eigenvalue 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. 2010-10-07T05:40:18Z 2010-10-07T05:40:18Z 2007 Article http://hdl.handle.net/10361/365 en BRAC University Journal, BRAC University;Vol.4. No. 1 pp. 97-102 application/pdf BRAC University
institution Brac University
collection Institutional Repository
language English
topic Contour integral
Minimal polynomial
inconsistent system
eigenvalue
spellingShingle Contour integral
Minimal polynomial
inconsistent system
eigenvalue
Ahmed, Mohammad Maruf
Derivations of generalized inverse using contour integration and interpolation polynomiyal
description 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.
format Article
author Ahmed, Mohammad Maruf
author_facet Ahmed, Mohammad Maruf
author_sort Ahmed, Mohammad Maruf
title Derivations of generalized inverse using contour integration and interpolation polynomiyal
title_short Derivations of generalized inverse using contour integration and interpolation polynomiyal
title_full Derivations of generalized inverse using contour integration and interpolation polynomiyal
title_fullStr Derivations of generalized inverse using contour integration and interpolation polynomiyal
title_full_unstemmed Derivations of generalized inverse using contour integration and interpolation polynomiyal
title_sort derivations of generalized inverse using contour integration and interpolation polynomiyal
publisher BRAC University
publishDate 2010
url http://hdl.handle.net/10361/365
work_keys_str_mv AT ahmedmohammadmaruf derivationsofgeneralizedinverseusingcontourintegrationandinterpolationpolynomiyal
_version_ 1814307309479788544

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