Journal
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
Volume 69, Issue 3, Pages 2617-2639Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s12190-023-01848-w
Keywords
Nonsymmetric algebraic Riccati equation; Quaternionic matrix; Comparison matrix; M-matrix; Fixed-point iteration
Categories
Ask authors/readers for more resources
Inspired by the study of complex nonsymmetric algebraic Riccati equations, this paper investigates nonsymmetric algebraic Riccati equations for quaternionic matrices. The comparison matrix of a quaternionic matrix is introduced, extending that of a complex matrix, and is used to provide a condition for the existence and uniqueness of the extremal solution. The solution can be obtained by a fixed-point iteration.
Inspired by the study of complex nonsymmetric algebraic Riccati equations, we investigate nonsymmetric algebraic Riccati equations for quaternionic matrices. We introduce the comparison matrix of a quaternionic matrix, extending that of a complex matrix, and use it to give a condition for the existence and uniqueness of the extremal solution. The solution can be obtained by a fixed-point iteration.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available