Principal invariants and inherent parameters of diffusion kurtosis tensors

DOI10.1016/j.jmaa.2008.08.049zbMath1158.15029OpenAlexW2031200710MaRDI QIDQ952156

Ed X. Wu, Liqun Qi, Deren Han

Publication date: 6 November 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.08.049

zbMATH Keywords

invariantseigenvaluesaverage apparent kurtosis coefficient valuesdiffusion kurtosis tensorseigenvector systeminherent parameters

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72)

Related Items (5)

An adaptive gradient method for computing generalized tensor eigenpairs ⋮ Fiber Orientation Distribution Estimation Using a Peaceman--Rachford Splitting Method ⋮ Nonnegative diffusion orientation distribution function ⋮ Calculations for D-eigenvalues of a diffusion kurtosis tensor ⋮ D-eigenvalues of diffusion kurtosis tensors

Cites Work

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• The closest elastic tensor of arbitrary symmetry to an elasticity tensor of lower symmetry
• D-eigenvalues of diffusion kurtosis tensors
• Spectral decomposition of a 4th-order covariance tensor: applications to diffusion tensor MRI
• The degree of the E-characteristic polynomial of an even order tensor
• Regularizing flows for constrained matrix-valued images
• Eigenvalues of a real supersymmetric tensor
• Rank and eigenvalues of a supersymmetric tensor, the multivariate homogeneous polynomial and the algebraic hypersurface it defines
• On the averaging of symmetric positive-definite tensors

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