English

Some notes about matrices, 5

Classical Analysis and ODEs 2007-05-23 v1

Abstract

This short survey reviews some aspects of spaces of positive-definite self-adjoint linear transformations on R^n and on C^n, including the standard Riemannian metric and the relation with the exponential mapping acting on self-adjoint linear transformations, which indeed leads to geodesics of positive-definite linear transformations.

Keywords

Cite

@article{arxiv.math/0309119,
  title  = {Some notes about matrices, 5},
  author = {Stephen Semmes},
  journal= {arXiv preprint arXiv:math/0309119},
  year   = {2007}
}

Comments

latex-2e, 5 pages