scientific article

zbMath0972.65026MaRDI QIDQ2707390

Heike Fassbender

Publication date: 3 April 2001

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

algorithmsnumerical examplestextbookfinite elementstructural analysiselastic deformationdiscrete time systemslinear control theorynonsymmetric eigenvalue problemssymplectic eigenvalue problemacoustic simulationporo-elastic material

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical optimization and variational techniques (65K10) Discrete-time control/observation systems (93C55) Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Hydro- and aero-acoustics (76Q05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to systems and control theory (93-01)

Related Items (22)

Transformations between discrete-time and continuous-time algebraic Riccati equations ⋮ On the Iwasawa decomposition of a symplectic matrix ⋮ On the semigroup of standard symplectic matrices and its applications ⋮ Optimal unit triangular factorization of symplectic matrices ⋮ Complementary bases in symplectic matrices and a proof that their determinant is one ⋮ Linear constraint problem of Hermitian unitary symplectic matrices ⋮ Sensitivity analysis for the SR decomposition ⋮ Solving polynomial eigenvalue problems by means of the Ehrlich-Aberth method ⋮ An SVD-like matrix decomposition and its applications ⋮ First order structure-preserving perturbation theory for eigenvalues of symplectic matrices. II ⋮ Simultaneous Hollowization, Joint Numerical Range, and Stabilization by Noise ⋮ First Order Structure-Preserving Perturbation Theory for Eigenvalues of Symplectic Matrices ⋮ Equivalence between modified symplectic Gram-Schmidt and Householder SR algorithms ⋮ Unit Triangular Factorization of the Matrix Symplectic Group ⋮ Numerical Linear Algebra Methods for Linear Differential-Algebraic Equations ⋮ A spectral trichotomy method for symplectic matrices ⋮ Principal Pivot Transforms of Quasidefinite Matrices and Semidefinite Lagrangian Subspaces ⋮ A Hamiltonian decomposition for fast interior-point solvers in model predictive control ⋮ 2n-by-2n symplectic completions of matrices of order 2n − 1 ⋮ A Core-Chasing Symplectic QR Algorithm ⋮ On the structure of the solutions to the matrix equation \(G^\ast JG = J\) ⋮ Computing Symplectic Eigenpairs of Symmetric Positive-Definite Matrices via Trace Minimization and Riemannian Optimization

Uses Software

• Matlab

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