Application of the partitioning method to specific Toeplitz matrices

Predrag Stanimirović; Marko Miladinović; Igor Stojanović; Sladjana Miljković

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Applications of the Moore-Penrose inverse in digital image restoration.

Chountasis, Spiros, Katsikis, Vasilios N., Pappas, Dimitrios (2009)

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Digital image reconstruction in the spectral domain utilizing the Moore-Penrose inverse.

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The recurrent calculation of the inversion of a special class of matrices

František Mikloško (1978)

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Image and its matrix, matrix and its image

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On some Generalized Inverses of Matrices and some Linear Matrix Equations

Jovan D. Kečkić (1989)

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

Yong Ge Tian (2001)

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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.

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

Vladimiro Valerio (1981)

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Inversion of square matrices in processors with limited calculation abillities

Krzysztof Janiszowski (2003)

International Journal of Applied Mathematics and Computer Science

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An iterative inversion algorithm for a class of square matrices is derived and tested. The inverted matrix can be defined over both real and complex fields. This algorithm is based only on the operations of addition and multiplication. The numerics of the algorithm can cope with a short number representation and therefore can be very useful in the case of processors with limited possibilities, like different neuro-computers and accelerator cards. The quality of inversion can be traced...