Canonical forms for symmetric and regular structures
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Publication:1951169
DOI10.1007/s10852-011-9170-4zbMath1263.15009OpenAlexW2155657268MaRDI QIDQ1951169
Publication date: 29 May 2013
Published in: JMMA. Journal of Mathematical Modelling and Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10852-011-9170-4
decompositionblock diagonalizationgroup theorysymmetric structureregular structurematrix canonical form
Finite element methods applied to problems in solid mechanics (74S05) Eigenvalues, singular values, and eigenvectors (15A18)
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Cites Work
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- Block circulant matrices and applications in free vibration analysis of cyclically repetitive structures
- Group theoretic methods in bifurcation theory. With an appendix by P. Olver
- An orthogonal self-stress matrix for efficient analysis of cyclically symmetric space truss structures via force method
- Approximate eigensolution of Laplacian matrices for locally modified graph products
- Compound matrix block diagonalization for efficient solution of eigenproblems in structural mechanics
- Stability analysis of hyper symmetric skeletal structures using group theory
- Improved group-theoretical method for eigenvalue problems of special symmetric structures, using graph theory
- A group-theoretic approach to computational bifurcation problems with symmetry
- Free and forced vibration of repetitive structures.
- Symmetry-adapted equilibrium matrices
- On static analysis of finite repetitive structures by discrete Fourier transform.
- A group theoretic approach to the global bifurcation analysis of an axially compressed cylindrical shell
- Improved group theoretic method using graph products for the analysis of symmetric-regular structures
- Tri-diagonal and penta-diagonal block matrices for efficient eigensolutions of problems in structural mechanics
- Graph coloration and group theory for factorization of symmetric dynamic systems
- Eigenvalues of the adjacency and Laplacian matrices for modified regular structural models
- Eigensolution of augmented graph products using shifted inverse iteration method
- Group-theoretic exploitations of symmetry in computational solid and structural mechanics
- Special decompositions for eigenproblems in structural mechanics
- Augmented canonical forms and factorization of graphs
- Eigensolution of specially structured matrices with hyper-symmetry
- Block diagonalization of Laplacian matrices of symmetric graphs via group theory
- Factorization for efficient solution of eigenproblems of adjacency and Laplacian matrices for graph products
- Exact eigenvalue calculations for structures with rotationally periodic substructures
- An algorithm for exact eigenvalue calculations for rotationally periodic structures
- Exact block diagonalization of large eigenvalue problems for structures with symmetry
- Wave propagation and natural modes in periodic systems: I. Mono-coupled systems
- Wave propagation and natural modes in periodic systems: II. Multi-coupled systems, with and without damping
- Dynamics of rotationally periodic structures
- Eigensolutions for factorable matrices of special patterns
- Eigensolutions for matrices of special structures
- Topology and graph products; eigenproblems in optimal structural analysis
- Block diagonalization of adjacency and Laplacian matrices for graph product; applications in structural mechanics
- An efficient method for decomposition of regular structures using graph products
- New canonical forms for analytical solution of problems in structural mechanics
- ON THE STABILITY ANALYSIS OF SYMMETRICAL FRAMEWORKS
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