A numerical algorithm for block-diagonal decomposition of matrix \(*\)-algebras with general irreducible components

DOI10.1007/s13160-010-0007-8zbMath1204.65035OpenAlexW2038854434MaRDI QIDQ623738

Kazuo Murota, Takanori Maehara

Publication date: 8 February 2011

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-010-0007-8

zbMATH Keywords

block-diagonalizationSchur decompositiongroup symmetrymatrix \(*\)-algebraskew-Hamiltonian Schur decomposition

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (10)

Jordan symmetry reduction for conic optimization over the doubly nonnegative cone: theory and software ⋮ On the number of matrices to generate a matrix \(\ast\)-algebra over the real field ⋮ Dimension reduction for semidefinite programs via Jordan algebras ⋮ A numerical algorithm for block-diagonal decomposition of matrix \(*\)-algebras with application to semidefinite programming ⋮ An Algebraic Approach to Nonorthogonal General Joint Block Diagonalization ⋮ The tracial moment problem and trace-optimization of polynomials ⋮ Simultaneous singular value decomposition ⋮ Symmetry-Independent Stability Analysis of Synchronization Patterns ⋮ Numerical block diagonalization of matrix \(\ast\)-algebras with application to semidefinite programming ⋮ RepLAB: A Computational/Numerical Approach to Representation Theory

Uses Software

• SDPA
• SeDuMi
• Algorithm 854

Cites Work

• Unnamed Item
• A numerical algorithm for block-diagonal decomposition of matrix \(*\)-algebras with application to semidefinite programming
• A quaternion QR-algorithm
• Algorithm 854

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