An extension of Yuan's lemma to fourth-order tensor system

DOI10.1007/s10957-018-1378-2zbMath1409.90219OpenAlexW2888637589WikidataQ124826596 ScholiaQ124826596MaRDI QIDQ1730770

Yang Zhou, Yuning Yang, Qingzhi Yang

Publication date: 6 March 2019

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-018-1378-2

zbMATH Keywords

symmetrypositive semidefinitequadratic semidefinite programmingS-lemmafourth-order tensorYuan's lemma

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Vector and tensor algebra, theory of invariants (15A72) Duality theory (optimization) (49N15)

Related Items (1)

Further investigation of positive semi-definiteness of fourth-order Cauchy and Hilbert tensors

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A tensor analogy of Yuan's theorem of the alternative and polynomial optimization with sign structure
• New results on Hermitian matrix rank-one decomposition
• On a subproblem of trust region algorithms for constrained optimization
• Yuan's alternative theorem and the maximization of the minimum eigenvalue function
• Theorems of the alternative for inequality systems of real polynomials
• A note on quadratic forms
• Convexity of quadratic transformations and its use in control and optimization
• Eigenvalues of a real supersymmetric tensor
• High-Order S-Lemma with Application to Stability of a Class of Switched Nonlinear Systems
• A Survey of the S-Lemma

This page was built for publication: An extension of Yuan's lemma to fourth-order tensor system