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2013 Procrustes Problems for General, Triangular, and Symmetric Toeplitz Matrices
Juan Yang, Yuan-bei Deng
J. Appl. Math. 2013: 1-5 (2013). DOI: 10.1155/2013/696019


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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Juan Yang. Yuan-bei Deng. "Procrustes Problems for General, Triangular, and Symmetric Toeplitz Matrices." J. Appl. Math. 2013 1 - 5, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950823
MathSciNet: MR3147898
Digital Object Identifier: 10.1155/2013/696019

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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