Semismoothness and decomposition of maximal normal operators

DOI10.1016/0022-247X(90)90347-IzbMath0717.49013MaRDI QIDQ2638506

Liqun Qi

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

subdifferentialsemicontinuous operatorsmaximal normal operator

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15)

Related Items (6)

Superlinearly convergent approximate Newton methods for LC\(^ 1\) optimization problems ⋮ A nonsmooth version of Newton's method ⋮ Links between functions and subdifferentials ⋮ Quasidifferentials and maximal normal operators ⋮ Extended semismooth Newton method for functions with values in a cone ⋮ Weak directional closedness and generalized subdifferentials

Cites Work

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• Second-order necessary conditions in semismooth optimization
• Quasidifferentials and maximal normal operators
• Second-Order Necessary Conditions in Constrained Semismooth Optimization
• Generalized Gradients and Applications
• Semismooth and Semiconvex Functions in Constrained Optimization
• An Algorithm for Constrained Optimization with Semismooth Functions
• The maximal normal operator space and integration of subdifferentials of nonconvex functions

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