On the partitioned matrix $\begin{pmatrix}O&A\\A^\ast &Q\\ \end{pmatrix}$ and its associated system $AX=T,A^\ast Y+QX = Z$

Vladimiro Valerio

Displaying similar documents to “On the partitioned matrix $(\begin{matrix} O & A \\ A^{} & Q \end{matrix})$ and its associated system $A X = T, A^{} Y + Q X = Z$ ”

The Drazin inverse through the matrix pencil approach and its application to the study of generalized linear systems with rectangular or square coefficient matrices.

Kalogeropoulos, Grigoris I., Karageorgos, Athanasios D., Pantelous, Athanasios A. (2008)

ELA. The Electronic Journal of Linear Algebra [electronic only]

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Some equalities for generalized inverses of matrix sums and block circulant matrices

Yong Ge Tian (2001)

Archivum Mathematicum

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Let $A_{1}, A_{2}, \dots, A_{n}$ be complex matrices of the same size. We show in this note that the Moore-Penrose inverse, the Drazin inverse and the weighted Moore-Penrose inverse of the sum $\sum_{t = 1}^{n} A_{t}$ can all be determined by the block circulant matrix generated by $A_{1}, A_{2}, \dots, A_{n}$ . In addition, some equalities are also presented for the Moore-Penrose inverse and the Drazin inverse of a quaternionic matrix.

Convergence of Rump's method for computing the Moore-Penrose inverse

Yunkun Chen, Xinghua Shi, Yi Min Wei (2016)

Czechoslovak Mathematical Journal

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We extend Rump's verified method (S. Oishi, K. Tanabe, T. Ogita, S. M. Rump (2007)) for computing the inverse of extremely ill-conditioned square matrices to computing the Moore-Penrose inverse of extremely ill-conditioned rectangular matrices with full column (row) rank. We establish the convergence of our numerical verified method for computing the Moore-Penrose inverse. We also discuss the rank-deficient case and test some ill-conditioned examples. We provide our Matlab codes for...

On the relation between Moore's and Penrose's conditions.

Gan, Gaoxiong (2002)

International Journal of Mathematics and Mathematical Sciences

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On some Generalized Inverses of Matrices and some Linear Matrix Equations

Jovan D. Kečkić (1989)

Publications de l'Institut Mathématique

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Displaying similar documents to “On the partitioned matrix O A A * Q and its associated system A X = T , A * Y + Q X = Z ”

The Drazin inverse through the matrix pencil approach and its application to the study of generalized linear systems with rectangular or square coefficient matrices.

Some equalities for generalized inverses of matrix sums and block circulant matrices

Convergence of Rump's method for computing the Moore-Penrose inverse

On the relation between Moore's and Penrose's conditions.

On some Generalized Inverses of Matrices and some Linear Matrix Equations

Displaying similar documents to “On the partitioned matrix $(\begin{matrix} O & A \\ A^{} & Q \end{matrix})$ and its associated system $A X = T, A^{} Y + Q X = Z$ ”