Abstract
The Hermitian positive definite solutions of the matrix equation X+ A * X −2 A= I are studied. A necessary and sufficient condition for existence of solutions is given in case A is normal. The basic fixed point iterations for the equation in case A is nonnormal with ∥A∥⩽ 2 3 3 are discussed in some detail. Some of Ivanov’s, Hasanov’s and Minchev’s results in [Linear Algebra Appl. 326 (2001) 27] are improved.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
