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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BRAC University
2010
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| Accès en ligne: | http://hdl.handle.net/10361/365 |
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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 |