Procrustes Problems for General, Triangular, and Symmetric Toeplitz Matrices | Zendy

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Procrustes Problems for General, Triangular, and Symmetric Toeplitz Matrices

Author(s) -

Juan Yang,

Yuanbei Deng

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/696019

Subject(s) - mathematics , combinatorics , toeplitz matrix , matrix (chemical analysis) , path (computing) , computer science , pure mathematics , materials science , composite material , programming language

The Toeplitz Procrustes problems are the least squares problems for the matrix equation AX=B over some Toeplitz matrix sets. In this paper the necessary and sufficient conditions are obtained about the existence and uniqueness for the solutions of the Toeplitz Procrustes problems when the unknown matrices are constrained to the general, the triangular, and the symmetric Toeplitz matrices, respectively. The algorithms are designed and the numerical examples show that these algorithms are feasible

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