Some special classes of tridiagonal matrices A are considered, and the complexity of solving a linear system Ax = f is investigated, when rational preconditioning on A is allowed. Non-trivial lower bounds are found, and in all cases the number of necessary multiplicative operations, apart from preconditioning, is shown to be greater than the number of indeterminates defining A.
Complexity bounds for solving some tridiagonal systems with preconditioning
BOZZO, Enrico;
1993-01-01
Abstract
Some special classes of tridiagonal matrices A are considered, and the complexity of solving a linear system Ax = f is investigated, when rational preconditioning on A is allowed. Non-trivial lower bounds are found, and in all cases the number of necessary multiplicative operations, apart from preconditioning, is shown to be greater than the number of indeterminates defining A.File in questo prodotto:
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