Consider the following consistent Sylvester tensor equation where the matrices and the tensor are given and is the unknown tensor. The current paper concerns with examining a simple and neat framework for accelerating the speed of convergence of the gradient-based iterative algorithm and its modified version for solving the mentioned Sylvester tensor equation without setting the restriction of the existence of a unique solution. Numerical experiments are reported which confirm the validity of the presented results.
Panjeh Ali Beik, F. and Ahmadi-Asl, S. (2015). Residual norm steepest descent based iterative algorithms for Sylvester tensor equations. Journal of Mathematical Modeling, 2(2), 115-131.
MLA
Panjeh Ali Beik, F. , and Ahmadi-Asl, S. . "Residual norm steepest descent based iterative algorithms for Sylvester tensor equations", Journal of Mathematical Modeling, 2, 2, 2015, 115-131.
HARVARD
Panjeh Ali Beik, F., Ahmadi-Asl, S. (2015). 'Residual norm steepest descent based iterative algorithms for Sylvester tensor equations', Journal of Mathematical Modeling, 2(2), pp. 115-131.
CHICAGO
F. Panjeh Ali Beik and S. Ahmadi-Asl, "Residual norm steepest descent based iterative algorithms for Sylvester tensor equations," Journal of Mathematical Modeling, 2 2 (2015): 115-131,
VANCOUVER
Panjeh Ali Beik, F., Ahmadi-Asl, S. Residual norm steepest descent based iterative algorithms for Sylvester tensor equations. Journal of Mathematical Modeling, 2015; 2(2): 115-131.