Title
Structured least-squares problems and inverse eigenvalue problems for (P, Q)-reflexive matrices.
Abstract
A new meaningful structured matrix—(P,Q)-reflexive matrix is defined. Without the common assumption that P or Q is unitary, a general solution is derived for its structured least-squares problem. As a necessary and sufficient condition being presented for the solvability of its structured inverse eigenvalue problem, structured constrains are firstly given to guarantee the existence of the solution. The optimal approximation problem is also considered under spectral constrains.
Year
DOI
Venue
2014
10.1016/j.amc.2014.02.098
Applied Mathematics and Computation
Keywords
Field
DocType
Structured matrices,Structured least-squares problem,Structured inverse eigenvalue problem,Optimal approximation
Reflexivity,Least squares,Inverse,Mathematical optimization,Matrix (mathematics),Unitary state,Mathematics,Eigenvalues and eigenvectors
Journal
Volume
ISSN
Citations 
235
0096-3003
0
PageRank 
References 
Authors
0.34
14
2
Name
Order
Citations
PageRank
Meixiang Zhao1173.69
Zhigang Jia2439.02