Title | ||
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Computing Singular Value Decompositions of Parameterized Matrices with Total Nonpositivity to High Relative Accuracy. |
Abstract | ||
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In the last years, much effort has been devoted to high relative accuracy algorithms for the singular value problem. However, such algorithms have been constructed only for a few classes of matrices with certain structure or properties. In this paper, we study a different class of matrices--parameterized matrices with total nonpositivity. We develop a new algorithm to compute singular value decompositions of such matrices to high relative accuracy. Our numerical results confirm the high relative accuracy of our algorithm. |
Year | DOI | Venue |
---|---|---|
2017 | 10.1007/s10915-016-0315-5 | J. Sci. Comput. |
Keywords | Field | DocType |
Totally nonpositive matrices, Singular value decomposition, High relative accuracy, 65F15, 15A18 | Singular value decomposition,Mathematical optimization,Parameterized complexity,Singular value,Matrix (mathematics),Mathematics | Journal |
Volume | Issue | ISSN |
71 | 2 | 1573-7691 |
Citations | PageRank | References |
0 | 0.34 | 12 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Rong Huang | 1 | 4 | 1.47 |
Delin Chu | 2 | 24 | 2.72 |