Finite iterative solutions to a class of complex matrix equations with conjugate and transpose of the unknowns

Ai-Guo Wu; Gang Feng; Guang-Ren Duan; Wei-Jun Wu

doi:10.1016/j.mcm.2010.06.010

Author(s)

Ai-Guo Wu
Gang Feng
Guang-Ren Duan
Wei-Jun Wu

Detail(s)

Original language	English
Pages (from-to)	1463-1478
Journal / Publication	Mathematical and Computer Modelling
Volume	52
Issue number	9-10
Publication status	Published - Nov 2010

Link(s)

DOI	DOI https://doi.org/10.1016/j.mcm.2010.06.010 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-77956010192&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(f42ee914-6a60-4587-ae8d-ce503f575272).html

Abstract

This paper is concerned with a class of complex matrix equations, in which there exist the conjugate and the transpose of the unknown matrices. The considered matrix equation includes some previously investigated matrix equations as its special cases. An iterative algorithm is presented for solving this class of matrix equations. When the matrix equation is consistent, a solution can be obtained within finite iteration steps for any initial values in the absence of round-off errors. A numerical example is given to illustrate the effectiveness of the proposed method. © 2010 Elsevier Ltd.

Research Area(s)

Complex matrix equations, Conjugate, Finite iterative algorithms, Inner product space, Transpose

Citation Format(s)

[ RIS ] [ BibTeX ]

Finite iterative solutions to a class of complex matrix equations with conjugate and transpose of the unknowns. / Wu, Ai-Guo; Feng, Gang; Duan, Guang-Ren; Wu, Wei-Jun.

In: Mathematical and Computer Modelling, Vol. 52, No. 9-10, 11.2010, p. 1463-1478.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Wu, A-G, Feng, G, Duan, G-R & Wu, W-J 2010, 'Finite iterative solutions to a class of complex matrix equations with conjugate and transpose of the unknowns', Mathematical and Computer Modelling, vol. 52, no. 9-10, pp. 1463-1478. https://doi.org/10.1016/j.mcm.2010.06.010

Wu, A-G., Feng, G., Duan, G-R., & Wu, W-J. (2010). Finite iterative solutions to a class of complex matrix equations with conjugate and transpose of the unknowns. Mathematical and Computer Modelling, 52(9-10), 1463-1478. https://doi.org/10.1016/j.mcm.2010.06.010

Wu A-G, Feng G, Duan G-R, Wu W-J. Finite iterative solutions to a class of complex matrix equations with conjugate and transpose of the unknowns. Mathematical and Computer Modelling. 2010 Nov;52(9-10):1463-1478. https://doi.org/10.1016/j.mcm.2010.06.010

Wu, Ai-Guo ; Feng, Gang ; Duan, Guang-Ren ; Wu, Wei-Jun. / Finite iterative solutions to a class of complex matrix equations with conjugate and transpose of the unknowns. In: Mathematical and Computer Modelling. 2010 ; Vol. 52, No. 9-10. pp. 1463-1478.