Alternative characterizations of the extended Wedderburn-Guttman theorem

DOI10.1016/j.laa.2006.11.022zbMath1115.15002OpenAlexW1981437408MaRDI QIDQ875020

Haruo Yanai, Yoshio Takane

Publication date: 10 April 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.11.022

zbMATH Keywords

product singular value decompositionrank identifiability conditionsrank profiles

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (4)

The rank reduction procedure of Egerváry ⋮ A new family of constrained principal component analysis (CPCA) ⋮ A CANCELLATION PROPERTY OF THE MOORE–PENROSE INVERSE OF TRIPLE PRODUCTS ⋮ On the necessary and sufficient condition for the extended Wedderburn-Guttman theorem

Cites Work

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• A necessary and sufficient formula for matric factoring
• On rank-diminishing operations and their applications to the solution of linear equations
• Schur complements and statistics
• An accurate product SVD algorithm
• The product-product singular value decomposition of matrix triplets
• The rank of a difference of matrices and associated generalized inverses
• Invariance properties of a triple matrix product involving generalized inverses
• On the Wedderburn-Guttman theorem
• Multiple group methods for common-factor analysis: Their basis, computation, and interpretation
• General theory and methods for matric factoring
• A Rank–One Reduction Formula and Its Applications to Matrix Factorizations
• Two Purposes for Matrix Factorization: A Historical Appraisal
• Constrained principal component analysis: A comprehensive theory

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