How to use RSVD to solve the matrix equationA=BXC

DOI10.1080/01445340802354549zbMath1202.15019OpenAlexW2049452552MaRDI QIDQ3589192

Yongge Tian, Yong Hui Liu

Publication date: 20 September 2010

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

Full work available at URL: https://doi.org/10.1080/01445340802354549

zbMATH Keywords

matrix equationmatrix pencilminimal rankmaximal rankfixed-rank solutionsrestricted singular value decompositionmatrix triplet

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrix equations and identities (15A24) Vector spaces, linear dependence, rank, lineability (15A03) Matrix pencils (15A22)

Related Items (2)

Norm estimates for function Lyapunov equations and applications ⋮ Upper and lower bounds for the rank of the matrix-valued function when X has a fixed rank

Cites Work

• A tree of generalizations of the ordinary singular value decomposition
• Functoriality of automorphic \(L\)-functions through their zeros
• The product-product singular value decomposition of matrix triplets
• A numerical algorithm for computing the restricted singular value decomposition of matrix triplets
• On \(g\)-inverses of a bordered matrix: revisited
• The maximal and minimal ranks of some expressions of generalized inverses of matrices
• Upper and lower bounds for ranks of matrix expressions using generalized inverses
• On the Computation of the Restricted Singular Value Decomposition via the Cosine-Sine Decomposition
• The Restricted Singular Value Decomposition of Matrix Triplets
• More on extremal ranks of the matrix expressions A  − BX  ± X ^* B ^* with statistical applications
• The Restricted Singular Value Decomposition: Properties and Applications
• Ranks of Solutions of the Matrix Equation AXB = C
• Extremal Ranks of Some Symmetric Matrix Expressions with Applications

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