Jacobi’s Method for Skew-Symmetric Matrices

DOI10.1137/0614043zbMath0783.65032OpenAlexW2040595303MaRDI QIDQ3136535

Derek Hacon

Publication date: 18 October 1993

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

Full work available at URL: https://doi.org/10.1137/0614043

zbMATH Keywords

algorithmconvergenceeigenvaluesparallel computingquaternionsJacobi methodskew-symmetric matrixrotation matrixSchur formcyclic method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (9)

An elementary, first principles approach to the indefinite spin groups ⋮ On the cubic convergence of the Paardekooper method ⋮ The orthogonal Lie algebra of operators: ideals and derivations ⋮ Non-linear preservers of the product of \(C\)-skew symmetry ⋮ The minimal polynomial of some matrices via quaternions ⋮ A sort-Jacobi algorithm for semisimple Lie algebras ⋮ Hamilton and Jacobi come full circle: Jacobi algorithms for structured Hamiltonian eigenproblems ⋮ Structured Eigenvalue Problems ⋮ A block Jacobi method for complex skew-symmetric matrices with applications in the time-dependent variational principle

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