English

Perturbation bounds for the Mostow and the bipolar decompositions

Functional Analysis 2017-04-28 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1704.00122,
  title  = {Perturbation bounds for the Mostow and the bipolar decompositions},
  author = {Priyanka Grover and Pradip Mishra},
  journal= {arXiv preprint arXiv:1704.00122},
  year   = {2017}
}

Comments

16 pages, 2 figures, to appear in Linear Algebra and its Applications