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Volume 26, Issue 1
A New Algorithm for Computing the Inverse and Generalized Inverse of the Scaled Factor Circulant Matrix

Zhaolin Jiang & Zongben Xu

J. Comp. Math., 26 (2008), pp. 112-122.

Published online: 2008-02

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  • Abstract

A new algorithm for finding the inverse of a nonsingular scaled factor circulant matrix is presented by the Euclid's algorithm. Extension is made to compute the group inverse and the Moore-Penrose inverse of the singular scaled factor circulant matrix. Numerical examples are presented to demonstrate the implementation of the proposed algorithm.

  • Keywords

Scaled factor circulant matrix, Inverse, Group inverse, Moore-Penrose inverse.

  • AMS Subject Headings

15A21, 65F15.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-26-112, author = {Zhaolin Jiang and Zongben Xu}, title = {A New Algorithm for Computing the Inverse and Generalized Inverse of the Scaled Factor Circulant Matrix}, journal = {Journal of Computational Mathematics}, year = {2008}, volume = {26}, number = {1}, pages = {112--122}, abstract = {

A new algorithm for finding the inverse of a nonsingular scaled factor circulant matrix is presented by the Euclid's algorithm. Extension is made to compute the group inverse and the Moore-Penrose inverse of the singular scaled factor circulant matrix. Numerical examples are presented to demonstrate the implementation of the proposed algorithm.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8614.html} }
TY - JOUR T1 - A New Algorithm for Computing the Inverse and Generalized Inverse of the Scaled Factor Circulant Matrix AU - Zhaolin Jiang & Zongben Xu JO - Journal of Computational Mathematics VL - 1 SP - 112 EP - 122 PY - 2008 DA - 2008/02 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8614.html KW - Scaled factor circulant matrix, Inverse, Group inverse, Moore-Penrose inverse. AB -

A new algorithm for finding the inverse of a nonsingular scaled factor circulant matrix is presented by the Euclid's algorithm. Extension is made to compute the group inverse and the Moore-Penrose inverse of the singular scaled factor circulant matrix. Numerical examples are presented to demonstrate the implementation of the proposed algorithm.

Zhaolin Jiang and Zongben Xu. (2008). A New Algorithm for Computing the Inverse and Generalized Inverse of the Scaled Factor Circulant Matrix. Journal of Computational Mathematics. 26 (1). 112-122. doi:
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