Some Comments on Singular Value Decomposition Analysis
TLDR
In this paper, the singular value decomposition analysis (SVD) method is discussed in the context of the simultaneous orthogonal rotation of two matrices and it is demonstrated that the singular vectors are rotated EOFs and the SVD expansion coefficients are rotated sets of principal component expansion coefficients.Abstract:
The singular value decomposition analysis (SVD) method is discussed in the context of the simultaneous orthogonal rotation of two matrices. It is demonstrated that the singular vectors are rotated EOFs and the SVD expansion coefficients are rotated sets of principal component expansion coefficients. This way of thinking about SVD aids in the interpretation of results and provides guidance as to when and how to use SVD.read more
Citations
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Journal ArticleDOI
Trend and Variability of China Precipitation in Spring and Summer: Linkage to Sea Surface Temperatures
Fanglin Yang,K.-M. Lau +1 more
TL;DR: In this article, the authors explored the forcing mechanism of these trends in association with the global sea-surface temperature (SST) variations on the interannual and interdecadal timescales.
Journal ArticleDOI
The Influence of Atlantic Sea Surface Temperature Anomalies on the North Atlantic Oscillation
TL;DR: In this paper, the influence of Atlantic sea surface temperature (SST) anomalies on the atmospheric circulation over the North Atlantic sector during winter is investigated by performing experiments with an atmospheric general circulation model.
Journal ArticleDOI
Summer Drought Patterns in Canada and the Relationship toGlobal Sea Surface Temperatures
Amir Shabbar,Walter Skinner +1 more
TL;DR: In this article, large-scale relationships between summer PDSI patterns in Canada and previous winter global sea surface temperature (SST) patterns are analyzed using singular value decomposition (SVD) analysis.
Book ChapterDOI
Oscillatory Spatiotemporal Signal Detection in Climate Studies: A Multiple-Taper Spectral Domain Approach
Michael E. Mann,Jeffrey Park +1 more
TL;DR: Applied to observational climate data, the MTM–SVD analysis yields insight into secular trends, low-frequency, and high-frequency quasi-oscillatory variations in the climate system.
Journal ArticleDOI
Sea-surface temperature co-variability in the Southern Atlantic and Indian Oceans and its connections with the atmospheric circulation in the Southern Hemisphere
TL;DR: The relationship between sea-surface temperature (SST) interannual variability at the subtropical and midlatitudes of the southern Atlantic and Indian Oceans and its links with the atmospheric circulation in the Southern Hemisphere are investigated over the 1950-1999 period as mentioned in this paper.
References
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Journal ArticleDOI
An Intercomparison of Methods for Finding Coupled Patterns in Climate Data
TL;DR: In this paper, the authors introduce a conceptual framework for comparing methods that isolate important coupled modes of variability between time series of two fields, including principal component analysis with the fields combined (CPCA), canonical correlation analysis (CCA), and singular value decomposition of the covariance matrix between the two fields (SVD).
Journal ArticleDOI
Singular value decomposition of wintertime sea surface temperature and 500-mb height anomalies
TL;DR: In this paper, single field principal component analysis (PCA), direct singular value decomposition (SVD), canonical correlation analysis (CCA), and combined PCA of two fields are applied to a 39-winter dataset consisting of normalized seasonal mean sea surface temperature anomalies over the North Pacific and concurrent 500-mb height anomaly over the same region.
Journal ArticleDOI
Orthogonal rotation to congruence
TL;DR: In this paper, a least squares solution for transformations of the two-factor matrices is developed, which is related to the problem of rotating two factor solutions orthogonally to a position where corresponding factors are as similar as possible.
Journal ArticleDOI
An inter-battery method of factor analysis
TL;DR: The inter-battery method of factor analysis was devised to provide information relevant to the stability of factors over different selections of tests as mentioned in this paper, and the correlation between factors determined by scores on the tests in the two batteries was taken as factor reliability coefficients.
Journal ArticleDOI
A Modeling Study of the Relative Roles of Tropical and Extratropical SST Anomalies in the Variability of the Global Atmosphere-Ocean System.
Ngar-Cheung Lau,Mary Jo Nath +1 more
TL;DR: In this paper, an atmospheric general circulation model has been subjected to observed, monthly varying sea surface temperature (SSI) conditions in each of the following domains: near-global ocean (GOGA run), tropical Pacific (TOGA) run, and midlatitude North Pacific (MOGA).
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