A genuine extension of the Moore-Penrose inverse to dual matrices

DOI10.1016/J.CAM.2024.116185zbMATH Open1546.15002MaRDI QIDQ6593336

Liqun Qi, Chunfeng Cui

Publication date: 26 August 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

singular value decompositionMoore-Penrose inversekinematic analysisdual matrixdual least squares problem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18)

Cites Work

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• Geometrie der Dynamen. Die Zusammensetzung von Kräften und verwandte Gegenstände der Geometrie. 2. Lieferung.
• Generalized inverses: theory and computations
• Generalized inverses. Theory and applications.
• Dual quaternions and dual quaternion vectors
• Linear algebra and numerical algorithms using dual numbers
• Linear Dual Algebra Algorithms and their Application to Kinematics
• The QLY least-squares and the QLY least-squares minimal-norm of linear dual least squares problems

Related Items (1)

Generalized MPD and DMP Inverses

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