| SHORT COMMUNICATION COMMENTS ON THE POWER METHOD |
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| 引用本文： | MARYBETHSEASHOLTZ,RANDYJ.PELL,KEVIN E.GATES. SHORT COMMUNICATION COMMENTS ON THE POWER METHOD[J]. 地理学报(英文版), 1990, 0(4) |
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| 作者姓名： | MARYBETHSEASHOLTZ RANDYJ.PELL KEVIN E.GATES |
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| 作者单位： | Laboratory for Chemometrics Department of Chemistry，University of Washington，Seattle，WA 98195，U.S.A.，Laboratory for Chemometrics，Department of Chemistry，University of Washington，Seattle，WA 98195，U.S.A.，Department of Applied Mathematics，University of Washington，Seattle，WA 98195，U.S.A. |
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| 摘 要： | In a recent short communication,Miyashita et al.have commented on the weakness of the NIPALSalgorithm(equivalently the power method)for calculating the eigenvalues out of order.They offer adiagnostic to ascertain when this may have occurred and suggested a modification to the NIPALSalgorithm to avoid this situation.Further comments regarding the use of the power method andMiyashita's presentation of its weakness are warranted.The general inadequacies of methods fordecomposing a matrix with degenerate eigenvalues and their relationship to the orthogonal design ofexperiments are discussed.
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SHORT COMMUNICATION COMMENTS ON THE POWER METHOD |
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| MARY BETH SEASHOLTZ RANDY J.PELLLaboratory for Chemometrics. SHORT COMMUNICATION COMMENTS ON THE POWER METHOD[J]. Journal of Geographical Sciences, 1990, 0(4) |
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| Authors: | MARY BETH SEASHOLTZ RANDY J.PELLLaboratory for Chemometrics |
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| Affiliation: | MARY BETH SEASHOLTZ~ RANDY J.PELLLaboratory for Chemometrics.Department of Chemistry University of Washington,Seattle,WA,U.S.A.KEVIN E.GATES Department of Applied Mathematics,University of Washington,Seattle,WA,U.S.A. |
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| Abstract: | 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. |
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| Keywords: | Power method NIPALS algorithm Singular value decomposition Experimental design |
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