New Representation of Drazin Inverse for Block complex matrices
Huanyin Chen, Marjan Sheibani Abdolyousefi
TL;DR
This paper introduces a novel formula for the Drazin inverse of the sum of two complex matrices, enabling new representations for block matrices under weaker conditions with perturbations.
Contribution
It provides a new additive formula for the Drazin inverse applicable to block matrices with perturbations, expanding existing theoretical frameworks.
Findings
New formula for Drazin inverse of matrix sum
Representation of Drazin inverse for block matrices under perturbations
Weaker conditions for applying the formula
Abstract
We present a new formula for the Drazin inverse of the sum of two complex matrices under weaker conditions with perturbations. By using this additive results, we establish new representations for the Drazin inverse of 2 \times 2 block complex matrix under certain new conditions involving perturbations.
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Taxonomy
TopicsMatrix Theory and Algorithms · graph theory and CDMA systems · Advanced Topics in Algebra