Real and integer Wedderburn rank reduction formulas for matrix decompositions

DOI10.1080/10556788.2014.1002192zbMath1330.15016OpenAlexW2000580198MaRDI QIDQ3458821

Nezam Mahdavi-Amiri, Effat Golpar-Raboky

Publication date: 28 December 2015

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556788.2014.1002192

zbMATH Keywords

quadratic Diophantine equationSmith normal formmatrix decompositionlinear Diophantine systembiconjugation processWedderburn rank reduction formula\(WZ\) factorizationbanded factorizationHessenberg factorization

Mathematics Subject Classification ID

Factorization of matrices (15A23) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Decomposition methods (49M27) Vector spaces, linear dependence, rank, lineability (15A03) Canonical forms, reductions, classification (15A21)

Related Items (3)

Unnamed Item ⋮ A generalization of the ABS algorithms and its application to some special real and integer matrix factorizations ⋮ Rank reduction processes for solving linear Diophantine systems and integer factorizations: a review

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