English

The Lyapunov matrix equation. Matrix analysis from a computational perspective

Numerical Analysis 2015-01-30 v1

Abstract

Decay properties of the solution XX to the Lyapunov matrix equation AX+XAT=DAX + X A^T = D are investigated. Their exploitation in the understanding of equation matrix properties, and in the development of new numerical solution strategies when DD is not low rank but possibly sparse is also briefly discussed.

Cite

@article{arxiv.1501.07564,
  title  = {The Lyapunov matrix equation. Matrix analysis from a computational perspective},
  author = {Valeria Simoncini},
  journal= {arXiv preprint arXiv:1501.07564},
  year   = {2015}
}

Comments

This work is a contribution to the Seminar series "Topics in Mathematics", of the PhD Program of the Mathematics Department, Universit\`a di Bologna, Italy

R2 v1 2026-06-22T08:16:04.299Z