Compound matrix block diagonalization for efficient solution of eigenproblems in structural mechanics

DOI10.1007/s00707-006-0364-1zbMath1107.74024OpenAlexW1976149064MaRDI QIDQ871591

Hossein Rahami, Ali Kaveh

Publication date: 20 March 2007

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-006-0364-1

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Vibrations in dynamical problems in solid mechanics (74H45) Numerical and other methods in solid mechanics (74S99)

Related Items (10)

Forced vibration of symmetric structures ⋮ Tri-diagonal and penta-diagonal block matrices for efficient eigensolutions of problems in structural mechanics ⋮ Geometrically nonlinear analysis of circulant structures using an efficient eigensolution method ⋮ Canonical forms for symmetric and regular structures ⋮ Graph transformations for efficient structural analysis ⋮ Block circulant matrices and applications in free vibration analysis of cyclically repetitive structures ⋮ Factorization for efficient solution of eigenproblems of adjacency and Laplacian matrices for graph products ⋮ Combinatorial optimization of special graphs for nodal ordering and graph partitioning ⋮ Eigenvalues of the adjacency and Laplacian matrices for modified regular structural models ⋮ New developments in the optimal analysis of regular and near-regular structures: decomposition, graph products, force method

Cites Work

• Efficient diagonalization of oversized matrices on a distributed-memory multiprocessor
• A block QR algorithm and the singular value decomposition
• Convergence analysis of the block Householder diagonalization algorithm
• Eigenvalues of factorable matrices with form IV symmetry
• Eigensolution of symmetric frames using graph factorization
• Eigensolutions for factorable matrices of special patterns
• Eigensolutions for matrices of special structures
• Block diagonalization of adjacency and Laplacian matrices for graph product; applications in structural mechanics

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