Eigenvalue perturbations and nonlinear parametric optimization

DOI10.1007/BFb0121155zbMath0615.49020MaRDI QIDQ4722730

B. Gollan

Publication date: 1987

Published in: Mathematical Programming Studies (Search for Journal in Brave)

zbMATH Keywords

nonlinear perturbationssymmetric matricesgeneralized gradientsEigenvaluesoptimal value functions

Mathematics Subject Classification ID

Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (7)

Solving the max-cut problem using eigenvalues ⋮ A projection technique for partitioning the nodes of a graph ⋮ Sensitivity analysis of nondifferentiable sums of singular values of rectangular matrices ⋮ Applications of parametric programming and eigenvalue maximization to the quadratic assignment problem ⋮ A globally convergent method for solving nonlinear equations without the differentiability condition ⋮ Sensitivity analysis of the largest dependent eigenvalue functions of eigensystems ⋮ Sensitivity analysis of the gratest eigenvalue of a symmetric matrix via the \(\epsilon\)-subdifferential of the associated convex quadratic form

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