Geometric Integration on Manifold of Square Oblique Rotation Matrices

DOI10.1137/S089547980037768XzbMath1020.65036MaRDI QIDQ2784391

Nicoletta Del Buono, Luciano Lopez

Publication date: 23 April 2002

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

stabilitymanifoldsnumerical examplesRunge-Kutta methodsgeometric integrationGauss methodsmatrix differential systemscondition number functionoblique Procrustes problemssquare oblique rotation matrices

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (8)

Direct event location techniques based on Adams multistep methods for discontinuous ODEs ⋮ Efficient rank reduction of correlation matrices ⋮ On stochasticity preserving methods for the computation of the matrix \(p\)th root ⋮ Numerical methods for ordinary differential equations on matrix manifolds ⋮ A dynamical system approach for continuous nonnegative matrix factorization ⋮ Exponential quadrature rules for linear fractional differential equations ⋮ Computation of functions of Hamiltonian and skew-symmetric matrices ⋮ The multimode Procrustes problem

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