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math.RA2024
An effective criterion for a stable factorisation of strictly nonsingular 2x2 matrix functions. Utilisation of the ExactMPF package
Natalia Adukova, Victor Adukov, Gennady Mishuris
In this paper, we propose a method to factorise of arbitrary strictly nonsingular 2x2 matrix functions allowing for stable factorisation. For this purpose, we utilise the ExactMPF…
math.RA2005
Generalized inversion of Toeplitz-plus-Hankel matrices
V. M. Adukov, O. L. Ibryaeva
A generalized inversion of block T+H matrix is obtained for the first time. In a particular case when T+H matrix is invertible, the method allows to obtain its inverse matrix witho…