The conjugate gradient methods for solving the generalized periodic Sylvester matrix equations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-018-01220-3
Abstract: This work is devoted to designing two conjugate gradient methods for the least Frobenius norm solution of the generalized periodic Sylvester matrix equations. When the studied problem is consistent, the first conjugate gradient method can… read more here.
Keywords: generalized periodic; periodic sylvester; sylvester matrix; conjugate gradient ... See more keywords
Existence of Ψ-bounded solutions for sylvester matrix dynamical systems on time scales
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DOI: 10.2298/fil1812209r
Abstract: In this paper, we study the existence criteria for Ψ-bounded solutions of Sylvester matrix dynamical systems on time scales. The advantage of studying this system is it unifies continuous and discrete systems. First, we prove… read more here.
Keywords: bounded solutions; matrix dynamical; time; sylvester matrix ... See more keywords
Modified Jacobi-Gradient Iterative Method for Generalized Sylvester Matrix Equation
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DOI: 10.3390/sym12111831
Abstract: We propose a new iterative method for solving a generalized Sylvester matrix equation A1XA2+A3XA4=E with given square matrices A1,A2,A3,A4 and an unknown rectangular matrix X. The method aims to construct a sequence of approximated solutions… read more here.
Keywords: iterative method; matrix equation; matrix; method ... See more keywords
An iterative algorithm for periodic sylvester matrix equations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Industrial and Management Optimization"
DOI: 10.3934/jimo.2017053
Abstract: The problem of solving periodic Sylvester matrix equations is discussed in this paper. A new kind of iterative algorithm is proposed for constructing the least square solution for the equations. The basic idea is to… read more here.
Keywords: iterative algorithm; matrix equations; periodic sylvester; sylvester matrix ... See more keywords