Solutions to 18 constrained optimization problems on the rank and inertia of the linear matrix function A+BXB

• Published in: Mathematical and computer modelling Vol. 55; no. 3-4 p.955-968; pp. 955 - 968
• Main Author: Tian, Yongge
• Format: Journal Article
• Language: English
• Published: 01.02.2012
• Subjects: computer techniques; decision making; mathematical models; system optimization

The inertia of a Hermitian matrix is defined to be a triplet composed by the numbers of the positive, negative and zero eigenvalues of the matrix counted with multiplicities, respectively. If we take the inertia and rank of a Hermitian matrix as objective functions, then they are neither differentia...