Matrix-theoretic criteria for the quasiconvexity of twice continuously differentiable functions

DOI10.1016/0024-3795(81)90007-0zbMath0468.15008OpenAlexW2050258191MaRDI QIDQ1156204

Jacques A. Ferland

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0024-3795(81)90007-0

zbMATH Keywords

quasiconvexityinertiaHessian matrixquadratic functionsbordered matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Convexity of real functions of several variables, generalizations (26B25) Basic linear algebra (15A99)

Related Items

Generalized Euclidean distance matrices, Some note on a positive tensor and its Hadamard powers eigenvalue, Quasi-convex functions in Carnot groups, NP-hardness of deciding convexity of quartic polynomials and related problems, Nine kinds of quasiconcavity and concavity, Generalized convexity on affine subspaces with an application to potential functions, Some properties of quasiconvex functions on the Heisenberg group, Hadamard inverses, square roots and products of almost semidefinite matrices, Criteria for quasi-convexity and pseudo-convexity: Relationships and comparisons

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