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Volume 4, Issue 1
A Recursive Algorithm for Computing the Weighted Moore-Penrose Inverse $A^+_{MN}$

Guo-Rong Wang & Yong-Lin Chen

J. Comp. Math., 4 (1986), pp. 74-85.

Published online: 1986-04

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  • Abstract

In this paper, we give a recursive algorithm for computing the weighted Moore-Penrose inverse $A^+_{MN}$. This method is a generalization of Greville's method for computing Moore-Penrose inverse $A^+$, and the technique of its proof is new. This method suits the weighted least-squares problem.

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@Article{JCM-4-74, author = {Guo-Rong Wang and Yong-Lin Chen}, title = {A Recursive Algorithm for Computing the Weighted Moore-Penrose Inverse $A^+_{MN}$}, journal = {Journal of Computational Mathematics}, year = {1986}, volume = {4}, number = {1}, pages = {74--85}, abstract = {

In this paper, we give a recursive algorithm for computing the weighted Moore-Penrose inverse $A^+_{MN}$. This method is a generalization of Greville's method for computing Moore-Penrose inverse $A^+$, and the technique of its proof is new. This method suits the weighted least-squares problem.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9569.html} }
TY - JOUR T1 - A Recursive Algorithm for Computing the Weighted Moore-Penrose Inverse $A^+_{MN}$ AU - Guo-Rong Wang & Yong-Lin Chen JO - Journal of Computational Mathematics VL - 1 SP - 74 EP - 85 PY - 1986 DA - 1986/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9569.html KW - AB -

In this paper, we give a recursive algorithm for computing the weighted Moore-Penrose inverse $A^+_{MN}$. This method is a generalization of Greville's method for computing Moore-Penrose inverse $A^+$, and the technique of its proof is new. This method suits the weighted least-squares problem.

Guo-Rong Wang and Yong-Lin Chen. (1986). A Recursive Algorithm for Computing the Weighted Moore-Penrose Inverse $A^+_{MN}$. Journal of Computational Mathematics. 4 (1). 74-85. doi:
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