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• W2105037734 abstract "Multi-level numerical methods that obtain the exact solution of a linear system are presented. The methods are devised by combining ideas from the full multi-grid algorithm and perfect reconstruction filters. The problem is stated as whether a direct solver is possible in a full multi-grid scheme by avoiding smoothing iterations and using different coarse grids at each step. The coarse grids must form a partition of the fine grid and thus establishes a strong connection with domain decomposition methods. An important analogy is established between the conditions for direct solution in multi-grid solvers and perfect reconstruction in filter banks. Furthermore, simple solutions of these conditions for direct multi-grid solvers are found by using mirror filters. As a result, different configurations of direct multi-grid solvers are obtained and studied." @default.
• W2105037734 created "2016-06-24" @default.
• W2105037734 creator A5030144647 @default.
• W2105037734 date "2010-10-01" @default.
• W2105037734 modified "2023-09-27" @default.
• W2105037734 title "Direct Multi-Grid Methods for Linear Systems With Harmonic Aliasing Patterns" @default.
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• W2105037734 doi "https://doi.org/10.1109/tsp.2010.2053363" @default.
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