A convergence proof for linear mean value cross decomposition

1994 ◽  
Vol 39 (2) ◽  
pp. 157-186 ◽  
Author(s):  
Kaj Holmberg
Keyword(s):  
Mean Value ◽  
Convergence Proof ◽  
Cross Decomposition

Mean value cross decomposition for nonlinear convex problems

2006 ◽  
Vol 21 (3) ◽  
pp. 401-417 ◽  
Author(s):  
Kaj Holmberg ◽  
Krzysztof C. Kiwiel
Keyword(s):  
Mean Value ◽  
Convex Problems ◽  
Cross Decomposition

Integration of production scheduling and energy-cost optimization using Mean Value Cross Decomposition

2019 ◽  
Vol 129 ◽  
pp. 106436 ◽  
Author(s):  
Hubert Hadera ◽  
Joakim Ekström ◽  
Guido Sand ◽  
Juha Mäntysaari ◽  
Iiro Harjunkoski ◽  
...  
Keyword(s):  
Production Scheduling ◽  
Energy Cost ◽  
Cost Optimization ◽  
Mean Value ◽  
Cross Decomposition

Long-period modulated superstructures in Pd-12.5 at.%Ce and Pd-15 at.%Ce alloys

1990 ◽  
Vol 48 (4) ◽  
pp. 164-165
Author(s):  
Noriyuki Kuwano ◽  
Masaru Itakura ◽  
Kensuke Oki
Keyword(s):  
Electron Microscopy ◽  
Mean Value ◽  
Heavy Elements ◽  
Arc Furnace ◽  
X Ray ◽  
Long Period ◽  
Ultra High Purity ◽  
Heat Treated ◽  
Atomic Scattering ◽  
The Mean

Pd-Ce alloys exhibit various anomalies in physical properties due to mixed valences of Ce, and the anomalies are thought to be strongly related with the crystal structures. Since Pd and Ce are both heavy elements, relative magnitudes of (fcc-fpd) are so small compared with <f> that superlattice reflections, even if any, sometimes cannot be detected in conventional x-ray powder patterns, where fee and fpd are atomic scattering factors of Ce and Pd, and <f> the mean value in the crystal. However, superlattices in Pd-Ce alloys can be analyzed by electron microscopy, thanks to the high detectability of electron diffraction. In this work, we investigated modulated superstructures in alloys with 12.5 and 15.0 at.%Ce.Ingots of Pd-Ce alloys were prepared in an arc furnace under atmosphere of ultra high purity argon. The disc specimens cut out from the ingots were heat-treated in vacuum and electrothinned to electron transparency by a jet method.

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