Positivities of Vandermonde tensors

DOI10.1080/03081087.2015.1122722zbMath1347.15033OpenAlexW2226117258MaRDI QIDQ2805661

Changqing Xu, Xian Li, Ming Yue Wang

Publication date: 12 May 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2015.1122722

zbMATH Keywords

determinantVandermonde matricesHankel tensorVandermonde tensorsubtensortotally positive tensor

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Multilinear algebra, tensor calculus (15A69)

Related Items (1)

On \(\{0,1\}\) CP tensors and CP pseudographs

Cites Work

• Tensor Decompositions and Applications
• Error analysis of the Björck-Pereyra algorithms for solving Vandermonde systems
• A generalized Vandermonde determinant
• Hankel tensors: associated Hankel matrices and Vandermonde decomposition
• The LU-factorization of totally positive matrices
• On some properties of the determinants of tensors
• Eigenvalues of a real supersymmetric tensor
• On the Computation of the Determinant of a Generalized Vandermonde Matrix
• The Generalized Vandermonde Matrix
• Common multiples and common divisors of matrix polynomials, II. Vandermonde and resultant matrices
• Some Results on Vandermonde Matrices with an Application to Time Series Analysis
• Nonnegative Tensor Factorization, Completely Positive Tensors, and a Hierarchical Elimination Algorithm
• Eigenvalue Results for Large Scale Random Vandermonde Matrices With Unit Complex Entries
• The Accurate and Efficient Solution of a Totally Positive Generalized Vandermonde Linear System
• Totally positive matrices

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