On rank-constrained Hermitian nonnegative-definite least squares solutions to the matrix equation AXAH=B

Source: International Journal of Computer Mathematics, Volume 84, Number 6, June 2007 , pp. 945-952(8)

Publisher: Taylor and Francis Ltd

Abstract:

In the literature, rank-constrained Hermitian nonnegative-definite solutions to the matrix equation AXAH=B have been investigated, under the conditions that B is Hermitian and nonnegative-definite, and the matrix equation is consistent. In this paper, we discuss rank-constrained Hermitian nonnegative-definite least squares solutions to this matrix equation, in which the above conditions may not hold. We derive the rank range and expression of these least squares solutions. Therefore, the results obtained in this paper generalize those in the literature.

Keywords: Hermitian nonnegative-definite; Least squares; Rank-constrained

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207160701458344

Publication date: 2007-06-01

More about this publication?

• Information for Authors
• Subscribe to this Title
• ingentaconnect is not responsible for the content or availability of external websites

Related content

• In this: publication
• By this: publisher
• In this Subject: Computer Science ,  Mathematics and Statistics

Website © Publishing Technology. Article copyright remains with the publisher, society or author(s) as specified within the article.

• Terms and conditions
• Privacy policy
• Information for advertisers