Spectral operators of matrices: Semismoothness and characterizations of the generalized jacobian

Spectral operators of matrices: Semismoothness and characterizations of the generalized jacobian

Spectral operators of matrices proposed recently in [C. Ding, D. F. Sun, J. Sun, and K. C. Toh, Math. Program., 168 (2018), pp. 509{531] are a class of matrix-valued functions, which map matrices to matrices by applying a vector-to-vector function to all eigenvalues/singular values of the underlying...

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Bibliographic Details
Main Authors: Ding, C., Sun, D., Sun, Jie, Toh, K.C.
Format: Journal Article
Language:English
Published: SIAM PUBLICATIONS 2020
Subjects:
Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
spectral operators
matrix-valued functions
semismoothness
generalized Jacobian
AUGMENTED LAGRANGIAN METHOD
NEWTON METHOD
CONSTRAINT NONDEGENERACY
NONSMOOTH ANALYSIS
SINGULAR-VALUES
ERROR-BOUNDS
SEMIDEFINITE
RANK
STABILITY
COMPLEMENTARITY
Online Access:http://hdl.handle.net/20.500.11937/91436

Internet

http://hdl.handle.net/20.500.11937/91436

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