On second-order directional derivatives of value functions

Optimization ◽

10.1080/02331934.2012.754441 ◽

2013 ◽

Vol 64 (2) ◽

pp. 389-407 ◽

Author(s):

L. Minchenko ◽

A. Tarakanov

Keyword(s):

Second Order ◽

Directional Derivatives ◽

Value Functions ◽

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First-order and second-order ?-directional derivatives of a marginal function in convex programming with linear inequality constraints

Journal of Optimization Theory and Applications ◽

10.1007/bf00940934 ◽

1990 ◽

Vol 66 (3) ◽

pp. 489-502 ◽

Author(s):

S. Shiraishi

Keyword(s):

Convex Programming ◽

Linear Inequality ◽

Inequality Constraints ◽

Second Order ◽

Directional Derivatives ◽

Marginal Function ◽

First Order ◽

Linear Inequality Constraints ◽

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Second-order directional derivatives of spectral functions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2004.11.021 ◽

2005 ◽

Vol 50 (5-6) ◽

pp. 947-955

Author(s):

S.J. Li ◽

K.L. Teo ◽

X.Q. Yang

Keyword(s):

Second Order ◽

Directional Derivatives ◽

Spectral Functions ◽

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The second-order directional derivatives of singular values

Scientia Sinica Mathematica ◽

10.1360/012011-668 ◽

2013 ◽

Vol 43 (2) ◽

pp. 121-136

Author(s):

LiWei ZHANG ◽

XianTao XIAO ◽

Ning ZHANG

Keyword(s):

Singular Values ◽

Second Order ◽

Directional Derivatives ◽

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Cheap Second Order Directional Derivatives of Stiff ODE Embedded Functionals

SIAM Journal on Scientific Computing ◽

10.1137/030601582 ◽

2005 ◽

Vol 26 (5) ◽

pp. 1725-1743 ◽

Author(s):

Derya B. Özyurt ◽

Paul I. Barton

Keyword(s):

Second Order ◽

Directional Derivatives ◽

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FIRST- AND SECOND-ORDER DIRECTIONAL DERIVATIVES OF A MAX-TYPE FUNCTION INDUCED FROM AN INEQUALITY STATE CONSTRAINT

Bulletin of informatics and cybernetics ◽

10.5109/13460 ◽

1997 ◽

Vol 29 (1) ◽

pp. 41-49

Author(s):

Hidefumi Kawasaki

Keyword(s):

State Constraint ◽

Second Order ◽

Directional Derivatives ◽

Type Function ◽

Inequality State ◽

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Second-order directional derivatives of all eigenvalues of a symmetric matrix

Nonlinear Analysis ◽

10.1016/s0362-546x(00)00165-6 ◽

2001 ◽

Vol 46 (8) ◽

pp. 1133-1150 ◽

Author(s):

Mounir Torki

Keyword(s):

Symmetric Matrix ◽

Second Order ◽

Directional Derivatives ◽

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Second-order directional derivatives of a function of the maximum

Cybernetics ◽

10.1007/bf01069714 ◽

1975 ◽

Vol 9 (5) ◽

pp. 797-800 ◽

Author(s):

V. F. Dem'yanov

Keyword(s):

Second Order ◽

Directional Derivatives ◽

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The upper and lower second order directional derivatives of a sup-type function

Mathematical Programming ◽

10.1007/bf01580771 ◽

1988 ◽

Vol 41 (1-3) ◽

pp. 327-339 ◽

Author(s):

Hidefumi Kawasaki

Keyword(s):

Second Order ◽

Directional Derivatives ◽

Type Function ◽

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On Lower Bounds of the Second-Order Directional Derivatives of Ben-Tal, Zowe, and Chaney

Mathematics of Operations Research ◽

10.1287/moor.22.3.747 ◽

1997 ◽

Vol 22 (3) ◽

pp. 747-753 ◽

Author(s):

L. R. Huang ◽

K. F. Ng

Keyword(s):

Lower Bounds ◽

Second Order ◽

Directional Derivatives ◽

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Second-Order Derivatives of Extremal-Value Functions and Optimality Conditions for Semi-Infinite Programs

Mathematics of Operations Research ◽

10.1287/moor.10.2.207 ◽

1985 ◽

Vol 10 (2) ◽

pp. 207-219 ◽

Author(s):

Alexander Shapiro

Keyword(s):

Optimality Conditions ◽

Second Order ◽

Value Functions ◽

Derivatives Of ◽

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