A block Jacobi method for complex skew-symmetric matrices with applications in the time-dependent variational principle

DOI10.1016/j.cpc.2018.04.026zbMath1498.15016OpenAlexW2799930237MaRDI QIDQ2102509

Alexander Humeniuk, Roland Mitrić

Publication date: 28 November 2022

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2018.04.026

zbMATH Keywords

singular value decompositioniterative diagonalizationelectron dynamicstime-dependent variational principleJacobi rotationfloating orbitalsMurnaghan canonical formskew-symmetric complex matrix

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21)

Uses Software

• LAPACK

Cites Work

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• Geometry of the time-dependent variational principle in quantum mechanics
• On the cubic convergence of the Paardekooper method
• An eigenvalue algorithm for skew-symmetric matrices
• Jacobi’s Method for Skew-Symmetric Matrices
• LAPACK Users' Guide
• A Canonical Form for Real Matrices under Orthogonal Transformations
• Normal Forms of Complex Matrices

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