Roth's similarity theorem and rank minimization in the presence of nonderogatory or semisimple eigenvalues

DOI10.1080/03081087.2012.672570zbMath1264.15017OpenAlexW2017763649MaRDI QIDQ4908171

Augusto Ferrante, Harald K. Wimmer

Publication date: 4 March 2013

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

Full work available at URL: https://doi.org/10.1080/03081087.2012.672570

zbMATH Keywords

eigenvaluesmatrix completionrank minimizationsemisimplenonderogatoryRoth's similarity theoremSylvester's matrix equation

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• Simultaneous equations models in applied search theory
• THE GENERALIZED SYLVESTER MATRIX EQUATION, RANK MINIMIZATION AND ROTH’S EQUIVALENCE THEOREM
• On the matrix equations $AX - XB = C$ and $AX - YB = C$

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