Document - Numerical solution of a class of quasi-linear matrix equations

2023

Journal article Open Access

Numerical solution of a class of quasi-linear matrix equations

Porcelli M., Simoncini V.

Matrix equations Sylvester equation Matrix functions Fixed point iteration

Given the matrix equation AX + XB + f (X)C = D in the unknown n * m matrix X, we analyze existence and uniqueness conditions, together with computational solution strategies for [...] being a linear or nonlinear function. We characterize different properties of the matrix equation and of its solution, depending on the considered classes of functions f. Our analysis mainly concerns small dimensional problems, though several considerations also apply to large scale matrix equations.

Source: Linear algebra and its applications 664 (2023): 349–368. doi:10.1016/j.laa.2023.01.024

Publisher: North Holland [etc.], [New York], Stati Uniti d'America

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@article{oai:it.cnr:prodotti:478264,
	title = {Numerical solution of a class of quasi-linear matrix equations},
	author = {Porcelli M. and Simoncini V.},
	publisher = {North Holland [etc.], [New York], Stati Uniti d'America},
	doi = {10.1016/j.laa.2023.01.024},
	journal = {Linear algebra and its applications},
	volume = {664},
	pages = {349–368},
	year = {2023}
}