A note on T. Chan’s preconditioner
Copyright policy )A note on T. Chan’s preconditioner
This paper shows that T. Chan's preconditioner matrix [SIAM J. Sci. Stat. Comput. 9, No. 4, 766--771 (1988; Zbl 0646.65042)] is stable for some special class of matrices i.e. matrices that are *-congruent to a stable diagonal matrix. By using this result, the authors prove the invertibility of some preconditioners proposed in the numerical solution of ordinary differential equations.
- University of Macau Macao
Iterative numerical methods for linear systems, Numerical Analysis, Algebra and Number Theory, Numerical computation of matrix norms, conditioning, scaling, Numerical methods for initial value problems involving ordinary differential equations, T. Chan’s preconditioner, Boundary value method, Stable matrix, stable matrix, boundary value method, T. Chan's preconditioner, Strang’s preconditioner, Discrete Mathematics and Combinatorics, Geometry and Topology, Strang's preconditioner
Iterative numerical methods for linear systems, Numerical Analysis, Algebra and Number Theory, Numerical computation of matrix norms, conditioning, scaling, Numerical methods for initial value problems involving ordinary differential equations, T. Chan’s preconditioner, Boundary value method, Stable matrix, stable matrix, boundary value method, T. Chan's preconditioner, Strang’s preconditioner, Discrete Mathematics and Combinatorics, Geometry and Topology, Strang's preconditioner
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