Solving cubic matrix equations arising in conservative dynamics

DOI10.1007/s10013-022-00578-zOpenAlexW3216685733MaRDI QIDQ2679760

Michele Benzi, Milo Viviani

Publication date: 23 January 2023

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.12373

zbMATH Keywords

Euler equationsspin systemsLie-Poisson integratorcubic matrix equationsplasma vortices

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Numerical methods for matrix equations (65F45)

Related Items (4)

On the consistency of the matrix equation \(X^\top AX = B\) when \(B\) is symmetric: the case where \(\mathrm{CFC}(A)\) includes skew-symmetric blocks ⋮ The equation X^⊤AX=B with B skew-symmetric: how much of a bilinear form is skew-symmetric? ⋮ Palindromic linearization and numerical solution of nonsymmetric algebraic \(T\)-Riccati equations ⋮ An efficient geometric method for incompressible hydrodynamics on the sphere

Cites Work

• Computation of the analytic center of the solution set of the linear matrix inequality arising in continuous- and discrete-time passivity analysis
• A minimal-variable symplectic method for isospectral flows
• Finite-mode analogs of 2D ideal hydrodynamics: Coadjoint orbits and local canonical structure
• The fascinating world of the Landau–Lifshitz–Gilbert equation: an overview
• Numerical Solution of Algebraic Riccati Equations
• Computational Methods for Linear Matrix Equations
• A Casimir preserving scheme for long-time simulation of spherical ideal hydrodynamics
• Invariant Subspaces of Matrices with Applications
• Geometric Numerical Integration

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