Editorial Type:
Article
Article Type:
Research Article

On the Uniqueness of the Singular Value Decomposition in Meteorological Applications

Qi Hu Department of Soil and Atmospheric Sciences, University of Missouri, Columbia, Missouri

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Print Publication:
01 Jul 1997
DOI:
https://doi.org/10.1175/1520-0442(1997)010<1762:OTUOTS>2.0.CO;2
Page(s):
1762–1766
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Abstract

The author revisits the singular value decomposition (SVD) method and shows that the nonuniqueness of the left and right singular vectors related to SVD posts limitations on applications of the method. Caution should be observed when the heterogeneous and homogeneous correlation maps are applied to interpret the relationship between two meteorological data series.

Corresponding author address: Dr. Qi Hu, Department of Soil and Atmospheric Sciences, 100 Gentry Hall, University of Missouri, Columbia, Columbia, MO 65211.

Abstract

The author revisits the singular value decomposition (SVD) method and shows that the nonuniqueness of the left and right singular vectors related to SVD posts limitations on applications of the method. Caution should be observed when the heterogeneous and homogeneous correlation maps are applied to interpret the relationship between two meteorological data series.

Corresponding author address: Dr. Qi Hu, Department of Soil and Atmospheric Sciences, 100 Gentry Hall, University of Missouri, Columbia, Columbia, MO 65211.

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Cover Journal of Climate
Journal of Climate

  • Bretherton, C. S., C. Smith, and J. M. Wallace, 1992: An intercomparison of methods for finding coupled patterns in climate data. J. Climate,5, 541–560.

  • Cherry, S., 1996: Some thoughts on the SVD technique. Preprints, 13th Conf. on Probability and Statistics, San Francisco, CA, Amer. Meteor. Soc., 15–21.

  • Fang, Z., and J. M. Wallace, 1994: Arctic sea ice variability on a timescale of weeks and its relation to atmospheric forcing. J. Climate,7, 1897–1914.

  • Jiang, E., K. Gao, and J. Wu, 1979: Linear Algebra. Education Press, 479 pp.

  • Mantua, N. J., and D. S. Battisti, 1995: Aperiodic variability in Zebiak–Cane coupled ocean–atmosphere model: Air–sea interactions in the western equatorial Pacific. J. Climate,8, 2897–2927.

  • Nash, J. C., 1990: Compact Numerical Method for Computers—Linear Algebra and Function Minimization. 2d ed. Adam Hilger, 278 pp.

  • Newman, M., and P. D. Sardeshmukh, 1995: A caveat concerning singular value decomposition. J. Climate,8, 352–360.

  • North, G. R., T. L. Bell, and R. F. Cahalan, 1982: Sampling errors in the estimation of empirical orthogonal functions. Mon. Wea. Rev.,110, 699–706.

  • Paegle, J., C. M. Kingtse, and J. Nogues-Paegle, 1996: Dependence of simulated precipitation on surface evaporation during the 1993 United States summer floods. Mon. Wea. Rev.,124, 345–361.

  • Reek, T., and M. Crowe, 1991: Advances in quality control technology at the National Climatic Data Center. Preprints, Seventh Int. Conf.on Interactive Information and Processing Systems for Meteorology, Oceanography, and Hydrology, New Orleans, LA, Amer. Meteor. Soc., 397–403.

  • Strang, G., 1976: Linear Algebra and Its Applications. Academic Press, 374 pp.

  • Tang, M., and E. R. Reiter, 1986: The similarity between the anomaly maps of deep soil temperature and precipitation of subsequent seasons in the United States. Plateau Meteor.,5, 293–307.

  • Wallace, J. M., C. Smith, and C. S. Bretherton, 1992: Singular value decomposition of wintertime sea surface temperature and 500-mb height anomalies. J. Climate,5, 561–576.

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