Block-oriented \(J\)-Jacobi methods for Hermitian matrices

DOI10.1016/j.laa.2010.06.032zbMath1205.65152OpenAlexW2063514756MaRDI QIDQ710862

Sanja Singer, Vjeran Hari, Saša Singer

Publication date: 22 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.06.032

zbMATH Keywords

eigenvaluenumerical examplesblock algorithmBLASindefinite Hermitian matrices

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Hermitian, skew-Hermitian, and related matrices (15B57) Complexity and performance of numerical algorithms (65Y20)

Related Items (12)

A Kogbetliantz-type algorithm for the hyperbolic SVD ⋮ Jacobi method for symmetric \(4 \times 4\) matrices converges for every cyclic pivot strategy ⋮ Batched Computation of the Singular Value Decompositions of Order Two by the AVX-512 Vectorization ⋮ Globally convergent Jacobi methods for positive definite matrix pairs ⋮ An indefinite variant of LOBPCG for definite matrix pencils ⋮ Three-level parallel J-Jacobi algorithms for Hermitian matrices ⋮ Full block \(J\)-Jacobi method for Hermitian matrices ⋮ A GPU-based hyperbolic SVD algorithm ⋮ Novel modifications of parallel Jacobi algorithms ⋮ Convergence to diagonal form of block Jacobi-type methods ⋮ On the global convergence of the block Jacobi method for the positive definite generalized eigenvalue problem ⋮ Preconditioned gradient iterations for the eigenproblem of definite matrix pairs

Uses Software

• BLAS

Cites Work

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