Perturbation bounds for Mostow's decomposition and the bipolar decomposition of matrices have been computed. To do so, expressions for the derivative of the geometric mean of two positive definite matrices have been derived. © 2017 Elsevier Inc.

Pradip Kumar

Mathematics

(SoNS) School of Natural Sciences

Fulltext

<p>Shiv Nadar University is a comprehensive, multidisciplinary, research-focused, and student-centric University offering a full range of academic programs at the undergraduate, postgraduate and doctoral level. With state-of-the-art infrastructure, the University comprises of academic wings, sophisticated labs, international standard sports facilities, amphitheaters, auditorium, conference rooms and smart classrooms. The University&rsquo;s goal is to become internationally recognized for the quality of its research and creative endeavors and their applicability to improving quality of life, generating new insights and expanding the boundaries of human knowledge creativity. Committed to excellence in teaching, research and service, the University aims to serve the higher education needs of India and the world beyond.</p>

Shiv Nadar University

Linear Algebra and Its Applications

Linear and Multilinear Algebra

Sensitivity analysis for the SR decomposition

Linear Algebra and its Applications

The bipolar decomposition

Norm inequalities related to the matrix geometric mean

Computers & Mathematics with Applications

Perturbation analysis for the hyperbolic QR factorization

SIAM Journal on Matrix Analysis and Applications

Rigorous Perturbation Bounds of Some Matrix Factorizations

Perturbation bounds for Mostow's decomposition and the bipolar decomposition