A new algorithm for solving convex parametric quadratic programs based on graphical derivatives of solution mappings

Automatica ◽  
2010 ◽  
Vol 46 (9) ◽  
pp. 1405-1418 ◽  
Author(s):  
Panagiotis Patrinos ◽  
Haralambos Sarimveis
Keyword(s):  
Quadratic Programs ◽  
Derivatives Of ◽  
Graphical Derivatives

scholarly journals On inner calmness*, generalized calculus, and derivatives of the normal cone mapping

2021 ◽  
Vol Volume 2 (Original research articles) ◽  
Author(s):  
Matúš Benko
Keyword(s):  
Differential Calculus ◽  
Normal Cone ◽  
Tangent Cones ◽  
Constraint Systems ◽  
Set Valued Mappings ◽  
Generalized Differential ◽  
Derivatives Of ◽  
Generalized Differential Calculus ◽  
Graphical Derivatives ◽  
Normal Cone Mapping

In this paper, we study continuity and Lipschitzian properties of set-valued mappings, focusing on inner-type conditions. We introduce new notions of inner calmness* and, its relaxation, fuzzy inner calmness*. We show that polyhedral maps enjoy inner calmness* and examine (fuzzy) inner calmness* of a multiplier mapping associated with constraint systems in depth. Then we utilize these notions to develop some new rules of generalized differential calculus, mainly for the primal objects (e.g. tangent cones). In particular, we propose an exact chain rule for graphical derivatives. We apply these results to compute the derivatives of the normal cone mapping, essential e.g. for sensitivity analysis of variational inequalities. Comment: 27 pages

Physical Properties of TCNQ Salts with N-Methyl Derivatives of Pyridine

1982 ◽  
Vol 85 (1) ◽  
pp. 257-263 ◽  
Author(s):  
A. Graja ◽  
M. Przybylski ◽  
B. Butka ◽  
R. Swietlik
Keyword(s):  
Physical Properties ◽  
Methyl Derivatives ◽  
Derivatives Of

Diorganyl Derivatives of Tellurium(IV) (σ-Telluranes of R 2 TeX 2 Type)

2002 ◽  
Vol 23 (2) ◽  
pp. 125-207 ◽  
Author(s):  
Igor D. Sadekov ◽  
Alexander V. Zakharov ◽  
Alexander A. Maksimenko
Keyword(s):  
Derivatives Of
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