A structure-preserving \(QR\) factorization for centrosymmetric real matrices

DOI10.1016/j.laa.2015.06.036zbMath1327.15076OpenAlexW877743272MaRDI QIDQ491125

Konrad Burnik

Publication date: 24 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.06.036

zbMATH Keywords

centrosymmetricstructure-preserving\(QR\) factorizationblock-reflectorsperplectic

Mathematics Subject Classification ID

Factorization of matrices (15A23) Hermitian, skew-Hermitian, and related matrices (15B57) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20)

Related Items

QX factorization of centrosymmetric matrices, Diagonalizability with respect to perplectic and pseudo-unitary similarity transformations, Incomplete double-cone factorizations of centrosymmetric matrices arising in spectral methods, Unnamed Item, On the Iwasawa decomposition of a perplectic matrix, Perturbation analysis for the QX factorization for centrosymmetric matrices, On the two-sided perplectic singular value decomposition and perplectically diagonalizable matrices

Cites Work

• Optimal symplectic Householder transformations for \(SR\) decomposition
• Orthosymmetric block reflectors
• An analysis of the HR algorithm for computing the eigenvalues of a matrix
• \(\mathbb G\)-reflectors: Analogues of Householder transformations in scalar product spaces
• Symplectic Householder transformations for a QR-like decomposition, a geometric and algebraic approaches
• Structured Mapping Problems for Matrices Associated with Scalar Products. Part I: Lie and Jordan Algebras
• Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups
• Structure preserving algorithms for perplectic eigenproblems
• Structured tools for structured matrices
• Structured Factorizations in Scalar Product Spaces