Comments on the power method
In a recent short communication, Miyashita et al. have commented on the weakness of the NIPALS algorithm (equivalently the power method) for calculating the eigenvalues out of order. They offer a diagnostic to ascertain when this may have occurred and suggested a modification to the NIPALS algorithm...
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| Veröffentlicht in: | Journal of chemometrics 1990-07, Vol.4 (4), p.331-334 |
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| container_end_page | 334 |
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| container_issue | 4 |
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| container_title | Journal of chemometrics |
| container_volume | 4 |
| creator | Seasholtz, Mary Beth Pell, Randy J. Gates, Kevin E. |
| description | In a recent short communication, Miyashita et al. have commented on the weakness of the NIPALS algorithm (equivalently the power method) for calculating the eigenvalues out of order. They offer a diagnostic to ascertain when this may have occurred and suggested a modification to the NIPALS algorithm to avoid this situation. Further comments regarding the use of the power method and Miyashita's presentation of its weakness are warranted. The general inadequacies of methods for decomposing a matrix with degenerate eigenvalues and their relationship to the orthogonal design of experiments are discussed. |
| doi_str_mv | 10.1002/cem.1180040407 |
| format | Article |
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They offer a diagnostic to ascertain when this may have occurred and suggested a modification to the NIPALS algorithm to avoid this situation. Further comments regarding the use of the power method and Miyashita's presentation of its weakness are warranted. The general inadequacies of methods for decomposing a matrix with degenerate eigenvalues and their relationship to the orthogonal design of experiments are discussed.</description><identifier>ISSN: 0886-9383</identifier><identifier>EISSN: 1099-128X</identifier><identifier>DOI: 10.1002/cem.1180040407</identifier><identifier>CODEN: JOCHEU</identifier><language>eng</language><publisher>Chichester, UK: John Wiley & Sons, Ltd</publisher><subject>Exact sciences and technology ; Experimental design ; Mathematics ; NIPALS algorithm ; Numerical analysis ; Numerical analysis. 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| ispartof | Journal of chemometrics, 1990-07, Vol.4 (4), p.331-334 |
| issn | 0886-9383 1099-128X |
| language | eng |
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| source | Access via Wiley Online Library |
| subjects | Exact sciences and technology Experimental design Mathematics NIPALS algorithm Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Power method Sciences and techniques of general use Singular value decomposition |
| title | Comments on the power method |
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