Matrix Stretching for Linear Equations

Details Matrix Stretching for Linear Equations Matrix Stretching for Linear Equations

2012-03-11

arxiv.org/abs/1203.2377v1

Mathematics

Numerical Analysis

68 pages, 14 figures, 2 tables

Scientific paper

Stretching is a new sparse matrix method that makes matrices sparser by making them larger. Stretching has implications for computational complexity theory and applications in scientific and parallel computing. It changes matrix sparsity patterns to render linear equations more easily solved by parallel and sparse techniques. Some stretchings increase matrix condition numbers only moderately, and thus solve linear equations stably. For example, these stretchings solve arrow equations with accuracy and expense preferable to other solution methods.

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