An interpolation method taking into account inequality constraints: I. Methodology

1986 ◽  
Vol 18 (1) ◽  
pp. 33-51 ◽  
Author(s):  
Olivier Dubrule ◽  
Clement Kostov
Keyword(s):  
Interpolation Method ◽  
Inequality Constraints ◽  
Account Inequality

An interpolation method taking into account inequality constraints: II. Practical approach

1986 ◽  
Vol 18 (1) ◽  
pp. 53-73 ◽  
Author(s):  
Clement Kostov ◽  
Olivier Dubrule
Keyword(s):  
Interpolation Method ◽  
Inequality Constraints ◽  
Practical Approach ◽  
Account Inequality

Ab initio band theory approach to electron energy loss near edge structures

1988 ◽  
Vol 46 ◽  
pp. 506-507
Author(s):  
Xudong Weng ◽  
O.F. Sankey ◽  
Peter Rez
Keyword(s):  
Ab Initio ◽  
Local Density ◽  
Interpolation Method ◽  
Atomic Orbital ◽  
Plane Waves ◽  
Large Set ◽  
Theory Approach ◽  
Band Theory ◽  
Atomic Orbitals ◽  
Pseudopotential Calculations

Single electron band structure techniques have been applied successfully to the interpretation of the near edge structures of metals and other materials. Among various band theories, the linear combination of atomic orbital (LCAO) method is especially simple and interpretable. The commonly used empirical LCAO method is mainly an interpolation method, where the energies and wave functions of atomic orbitals are adjusted in order to fit experimental or more accurately determined electron states. To achieve better accuracy, the size of calculation has to be expanded, for example, to include excited states and more-distant-neighboring atoms. This tends to sacrifice the simplicity and interpretability of the method.In this paper. we adopt an ab initio scheme which incorporates the conceptual advantage of the LCAO method with the accuracy of ab initio pseudopotential calculations. The so called pscudo-atomic-orbitals (PAO's), computed from a free atom within the local-density approximation and the pseudopotential approximation, are used as the basis of expansion, replacing the usually very large set of plane waves in the conventional pseudopotential method. These PAO's however, do not consist of a rigorously complete set of orthonormal states.

Comparing informative hypotheses with inequality constraints using posterior model probabilities

2008 ◽  
Author(s):  
Rens Van De Schoot ◽  
Herbert Hoijtink ◽  
Jan-Willem Romein
Keyword(s):  
Inequality Constraints

An Interpolation Method for the Reconstruction and Recognition of Face Images

2007 ◽  
Author(s):  
N. C. Nguyen ◽  
J. Peraire
Keyword(s):  
Interpolation Method ◽  
Face Images

Distributed proximal-gradient method for convex optimization with inequality constraints

2015 ◽  
Vol 56 ◽  
pp. 160 ◽  
Author(s):  
Jueyou Li ◽  
Changzhi Wu ◽  
Zhiyou Wu ◽  
Qiang Long ◽  
Xiangyu Wang
Keyword(s):  
Convex Optimization ◽  
Gradient Method ◽  
Inequality Constraints ◽  
Proximal Gradient Method
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