Computers and mathematics — the use of computers in undergraduate instruction

1989 ◽  
Vol 31 (3) ◽  
pp. 294-295
Keyword(s):  
Undergraduate Instruction ◽  
And Mathematics ◽  
Computers And Mathematics

scholarly journals The optimal convergence factor of the gradient based iterative algorithm for linear matrix equations

Filomat ◽  
2012 ◽  
Vol 26 (3) ◽  
pp. 607-613 ◽  
Author(s):  
Xiang Wang ◽  
Dan Liao
Keyword(s):  
Iterative Algorithm ◽  
Numerical Experiments ◽  
Linear Matrix ◽  
Matrix Equations ◽  
Convergence Factor ◽  
Gradient Based ◽  
Gradient Type ◽  
And Mathematics ◽  
Computers And Mathematics ◽  
Linear Matrix Equations

A hierarchical gradient based iterative algorithm of [L. Xie et al., Computers and Mathematics with Applications 58 (2009) 1441-1448] has been presented for finding the numerical solution for general linear matrix equations, and the convergent factor has been discussed by numerical experiments. However, they pointed out that how to choose a best convergence factor is still a project to be studied. In this paper, we discussed the optimal convergent factor for the gradient based iterative algorithm and obtained the optimal convergent factor. Moreover, the theoretical results of this paper can be extended to other methods of gradient-type based. Results of numerical experiments are consistent with the theoretical findings.

Making Sense of Groups, Computers, and Mathematics

1995 ◽  
Vol 13 (4) ◽  
pp. 505-523 ◽  
Author(s):  
Lulu Healy ◽  
Stefano Pozzi ◽  
Celia Hoyles
Keyword(s):  
Making Sense ◽  
And Mathematics ◽  
Computers And Mathematics
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