New expressions for the solution of the matrix equation \({\mathbf A}^ T{\mathbf X}+{\mathbf X}{\mathbf A}={\mathbf H}\)

DOI10.1007/BF00042471zbMath0887.15006MaRDI QIDQ1371459

Ting, T. C. T.

Publication date: 9 November 1997

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

symmetric matricesmatrix equationskew-symmetric matrices

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (2)

Some basis-free expressions for stresses conjugate to Hill's strains through solving the tensor equation \(AX + XA = C\) ⋮ Derivatives of the stretch, rotation and exponential tensors in \(n\)-dimensional vector spaces

Cites Work

• On the analysis of rotation and stress rate in deforming bodies
• Rates of stretch tensors
• On the derivative of the square root of a tensor and Guo's rate theorems
• The material time derivative of logarithmic strain
• A note on Dienes' and Aifantis' co-rotational derivatives
• The tensor equation \(AX +XA = \Phi (A,H)\), with applications to kinematics of continua
• Matrix calculations for Liapunov quadratic forms
• The Matrix Equation AX - XB = C
• Nonequilibrium thermodynamics and rheology of viscoelastic polymer media
• On the Inverse of the Operator a(⋅) + (⋅)B
• 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 $S^T X + XS = - Q$
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