A finite iterative algorithm for the solution of Sylvester-conjugate matrix equationsAV+BW=EV¯F+CandAV+BW¯=EV¯F+C

Autor:	Talaat S. El-Danaf, Ahmed M. E. Bayoumi, Mohamed A. Ramadan
Rok vydání:	2013
Předmět:	Discrete mathematics Matrix (mathematics) Iterative method Modeling and Simulation Matrix norm Applied mathematics Computer Science Applications Mathematics Conjugate transpose
Zdroj:	Mathematical and Computer Modelling. 58:1738-1754
ISSN:	0895-7177
DOI:	10.1016/j.mcm.2013.06.010
Popis:	In this paper, we consider two iterative algorithms for the Sylvester-conjugate matrix equation AV+BW=EV¯F+C and AV+BW¯=EV¯F+C. When these two matrix equations are consistent, for any initial matrices the solutions can be obtained within finite iterative steps in the absence of round off errors. Some lemmas and theorems are stated and proved where the iterative solutions are obtained. Two numerical examples are given to illustrate the effectiveness of the proposed method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ebc2fdf8027286e9eb8197fe7bd2cb98 https://doi.org/10.1016/j.mcm.2013.06.010 Zobrazit plný text záznamu Full Text from ScienceDirect