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Approximations of Extremal Eigenspace and Orthonormal Polar Factor

Numerical Analysis 2026-01-09 v1 Numerical Analysis
Authors: Ren-Cang Li
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Abstract

This paper is concerned with two extremal problems from matrix analysis. One is about approximating the top eigenspaces of a Hermitian matrix and the other one about approximating the orthonormal polar factor of a general matrix. Tight error bounds on the quality of the approximations are obtained.

Keywords

extremal eigenspace orthonormal polar factor Hermitian matrix matrix analysis error bounds

Cite

@article{arxiv.2601.04479,
  title  = {Approximations of Extremal Eigenspace and Orthonormal Polar Factor},
  author = {Ren-Cang Li},
  journal= {arXiv preprint arXiv:2601.04479},
  year   = {2026}
}

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