Orthosymmetric block reflectors
From MaRDI portal
Publication:935404
DOI10.1016/j.laa.2008.04.008zbMath1146.15016OpenAlexW2034274553MaRDI QIDQ935404
Publication date: 6 August 2008
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2008.04.008
QR factorizationscalar productHouseholder transformationreflector\(J\)-reflectorblock \(J\)-reflectororthosymmetric
Factorization of matrices (15A23) Hermitian, skew-Hermitian, and related matrices (15B57) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Direct numerical methods for linear systems and matrix inversion (65F05)
Related Items (3)
The LAPW Method with Eigendecomposition Based on the Hari--Zimmermann Generalized Hyperbolic SVD ⋮ A structure-preserving \(QR\) factorization for centrosymmetric real matrices ⋮ Unnamed Item
Cites Work
- Matrices and indefinite scalar products
- Inertia characteristics of self-adjoint matrix polynomials
- An analysis of the HR algorithm for computing the eigenvalues of a matrix
- A new formulation of the hypermatrix Householder-QR decomposition
- QR-factorization of partitioned matrices. Solution of large systems of linear equations with non-definite coefficient matrices
- \(\mathbb G\)-reflectors: Analogues of Householder transformations in scalar product spaces
- Rounding error and perturbation bounds for the symplectic QR factorization
- Generalized inverses. Theory and applications.
- Rounding-error and perturbation bounds for the indefinite QR factorization
- Indefinite QR factorization
- Hyperbolic Householder Algorithms for Factoring Structured Matrices
- Block Reflectors: Theory and Computation
- Hyperbolic Householder Transforms
- Extension of Isometries in Finite-Dimensional Indefinite Scalar Product Spaces and Polar Decompositions
- Structured tools for structured matrices
- A symplectic QR like algorithm for the solution of the real algebraic Riccati equation
- Unnamed Item
- Unnamed Item
This page was built for publication: Orthosymmetric block reflectors
