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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| Định dạng: | Bài viết |
| Ngôn ngữ: | English |
| Được phát hành: |
BRAC University
2010
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| Những chủ đề: | |
| Truy cập trực tuyến: | http://hdl.handle.net/10361/365 |
| Tóm tắt: | 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. |
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