Lyapunov matrix equation $A^HX+XA+C=O_r$ with $A$ a Jordan matrix

Autor:	Comănescu, Dan
Rok vydání:	2018
Předmět:	Mathematics - Rings and Algebras Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	A Lyapunov matrix equation can be converted, by using the Jordan decomposition theorem for matrices, into an equivalent Lyapunov matrix equation where the matrix is a Jordan matrix. The Lyapunov matrix equation with Jordan matrix can be reduced to a system of Sylvester-Lyapunov type matrix equations. We completely solve the Sylvester-Lyapunov type matrix equations corresponding to the Jordan block matrices of the initial matrix.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1810.05033 Zobrazit plný text záznamu View this record from Arxiv