Calculations for D-eigenvalues of a diffusion kurtosis tensor

DOI10.1016/j.aml.2023.108946MaRDI QIDQ6202727

Jianxing Zhao, Caili Sang

Publication date: 27 February 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Z-eigenvaluesdiffusion kurtosis tensorsdiffusion tensorsD-eigenvaluessemi-symmetric tensors

Mathematics Subject Classification ID

Mathematical programming (90Cxx) Numerical linear algebra (65Fxx) Basic linear algebra (15Axx)

Cites Work

• Nonnegative diffusion orientation distribution function
• Computing the generalized eigenvalues of weakly symmetric tensors
• D-eigenvalues of diffusion kurtosis tensors
• Principal invariants and inherent parameters of diffusion kurtosis tensors
• A quadratically convergent algorithm for finding the largest eigenvalue of a nonnegative homogeneous polynomial map
• An adaptive gradient method for computing generalized tensor eigenpairs
• Positive definiteness of diffusion kurtosis imaging
• Computing Tensor Eigenvalues via Homotopy Methods
• An Adaptive Shifted Power Method for Computing Generalized Tensor Eigenpairs
• Numerical Methods in Matrix Computations
• Higher Order Positive Semidefinite Diffusion Tensor Imaging
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