Principal axis intrinsic method and the high dimensional tensor equation \(AX-XA=C^*\)

DOI10.1007/BF00147132zbMath0894.73008MaRDI QIDQ1369450

Haoyun Liang

Publication date: 30 March 1998

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (3)

Quasi-principal axis method in finite deformation ⋮ Families of continuous spin tensors and applications in continuum mechanics ⋮ Basis-free expressions for families of objective strain tensors, their rates, and conjugate stress tensors

Cites Work

• Unnamed Item
• Spin and rotation velocity of the stretching frame in continuum mechanics
• On the operator equation \(BX - XA = Q\)
• Rates of stretch tensors
• On the derivative of the square root of a tensor and Guo's rate theorems
• Absolute representations of spins of principal frames in a continuum
• Twirl tensors and the tensor equation \(AX-XA=C\)
• Aspects of Invariance in Solid Mechanics
• A Finite Series Solution of the Matrix Equation $AX - XB = C$
• Matrix Equation $XA + BX = C$
• Solution of the Equation $AX + XB = C$ by Inversion of an $M \times M$ or $N \times N$ Matrix
• Solution of the Matrix Equations $AX + XB = - Q$ and $S^T X + XS = - Q$
• Explicit Solutions of Linear Matrix Equations
• The Equations AX - YB = C and AX - XB = C in Matrices

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