Finding the geometric mean for two Hermitian matrices by an efficient iteration method

Extraction of deflating subspaces using disk function of a matrix pencil via matrix sign function with application in generalized eigenvalue problem

P Sharma, M Kansal - Journal of Computational and Applied Mathematics, 2024 - Elsevier
The objective of this study is to extract two pairs of left and right deflating subspaces of a
regular matrix pencil A− λ B corresponding to the eigenvalues lying inside and outside the …
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An efficient iterative method for matrix sign function with application in stability analysis of control systems using spectrum splitting

P Sharma, M Kansal - Mathematical Methods in the Applied …, 2024 - Wiley Online Library
The goal of this study is to construct a novel iterative method to compute the matrix sign
function using a different approach. It is discussed that the new method is globally …
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