arrow
Volume 31, Issue 2
On the Nonlinear Matrix Equation $X^s + A^*F(X)A = Q$ with $S≥ 1$

Duanmei Zhou, Guoliang Chen, Guoxing Wu & Xiangyun Zhang

J. Comp. Math., 31 (2013), pp. 209-220.

Published online: 2013-04

Export citation
  • Abstract

This work is concerned with the nonlinear matrix equation $X^s + A^*F(X)A= Q$ with $s ≥ 1$. Several sufficient and necessary conditions for the existence and  uniqueness of the Hermitian positive semidefinite solution are derived, and perturbation bounds are presented.

  • AMS Subject Headings

15A24, 47H10, 47H14, 47J05.

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-31-209, author = {}, title = {On the Nonlinear Matrix Equation $X^s + A^*F(X)A = Q$ with $S≥ 1$}, journal = {Journal of Computational Mathematics}, year = {2013}, volume = {31}, number = {2}, pages = {209--220}, abstract = {

This work is concerned with the nonlinear matrix equation $X^s + A^*F(X)A= Q$ with $s ≥ 1$. Several sufficient and necessary conditions for the existence and  uniqueness of the Hermitian positive semidefinite solution are derived, and perturbation bounds are presented.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1210-m4082}, url = {http://global-sci.org/intro/article_detail/jcm/9730.html} }
TY - JOUR T1 - On the Nonlinear Matrix Equation $X^s + A^*F(X)A = Q$ with $S≥ 1$ JO - Journal of Computational Mathematics VL - 2 SP - 209 EP - 220 PY - 2013 DA - 2013/04 SN - 31 DO - http://doi.org/10.4208/jcm.1210-m4082 UR - https://global-sci.org/intro/article_detail/jcm/9730.html KW - Nonlinear matrix equations, Perturbation bound, Hermitian positive definite solution. AB -

This work is concerned with the nonlinear matrix equation $X^s + A^*F(X)A= Q$ with $s ≥ 1$. Several sufficient and necessary conditions for the existence and  uniqueness of the Hermitian positive semidefinite solution are derived, and perturbation bounds are presented.

Duanmei Zhou, Guoliang Chen, Guoxing Wu & Xiangyun Zhang. (1970). On the Nonlinear Matrix Equation $X^s + A^*F(X)A = Q$ with $S≥ 1$. Journal of Computational Mathematics. 31 (2). 209-220. doi:10.4208/jcm.1210-m4082
Copy to clipboard
The citation has been copied to your clipboard