scholarly journals The convergence of an implicit mean value iteration

Author(s):  
B. E. Rhoades ◽  
Ştefan M. Şoltuz

We show the convergence of an implicit mean value iteration when applied to uniformly pseudocontractive maps. Remarks about other implicit mean value iterations are given.

1971 ◽  
Vol 30 (2) ◽  
pp. 324-324 ◽  
Author(s):  
R. L. Franks ◽  
R. P. Marzec
Keyword(s):  

2003 ◽  
Vol 96 (2) ◽  
pp. 269-293 ◽  
Author(s):  
P. K�gler ◽  
A. Leit�o

2005 ◽  
Vol 2005 (21) ◽  
pp. 3479-3485 ◽  
Author(s):  
B. E. Rhoades ◽  
Ştefan M. Şoltuz

We consider a mean value iteration for a family of functions, which corresponds to the Mann iteration withlim⁡n→∞  αn≠0. We prove convergence results for this iteration when applied to strongly pseudocontractive or strongly accretive maps.


Author(s):  
Noriyuki Kuwano ◽  
Masaru Itakura ◽  
Kensuke Oki

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.


1999 ◽  
Vol 82 (11) ◽  
pp. 1412-1416 ◽  
Author(s):  
Wojciech Zareba ◽  
John Horan ◽  
Arthur Moss ◽  
Joel Kanouse ◽  
◽  
...  

SummaryOur previous prospective study of post-infarction patients described a strong and significant association of increased plasma D-dimer concentrations in those who experienced a subsequent coronary death or non-fatal myocardial infarction. In the present study, we compare results on stored plasma obtained two months after the index myocardial infarction from 1,038 patients of this trial, using a simple automated latex agglutination (LA) assay in parallel with the standard ELISA test. Results show a somewhat higher mean value for the LA assay (702 ± 1092 vs. 638 ± 986 ng/ml, p = 0.0002), a strong linear correlation of the two assays (r = 0.86) and 88% agreement for values below 500 ng/ml by the ELISA test. D-dimer concentrations determined by each assay were highly correlated in patients with subsequent coronary artery events (p = 0.93) and quartile values for both the LA and ELISA were equally predictive of such events (p = 0.003 and p = 0.001, respectively). This is the first demonstration that a latex agglutination assay for D-dimer can be used to assess the prognostic risk of recurrent coronary thrombotic disease after myocardial infarction


Phlebologie ◽  
2009 ◽  
Vol 38 (05) ◽  
pp. 211-218 ◽  
Author(s):  
C. Wax ◽  
A. Körber ◽  
J. Dissemond ◽  
J. Klode

SummaryChronic leg ulcer may have various causes, which are currently not centrally recorded in Germany. It is also unclear who treats patients with chronic leg ulcers in Germany and how the basic implementation of diagnosis and treatment of these patients looks like. Patients, methods: Therefore, we started a survey of 1000 general practitioners and practising specialists in dermatology, surgery and phlebology in five different regions of Germany. We carried out the genesis of a total of 6275 patients from 62 different practising therapists, 33 specialists in dermatology, surgery or phlebology and 29 general practitioners. Results: In 66.1% of all patients we found a venous leg ulcer, in 9.1% a leg ulcer from peripheral arterial occlusive disease, and in 8.5% a mixture of both. Thus there suffered a total of 83.8% of patients on chronic venous insufficiency or peripheral arterial occlusive disease as a major factor in the genesis of the chronic leg ulcer. However, even the rarely diagnosed entities such as exogenous factors, vasculitis, pyoderma gangrenosum or infectious diseases are occur in summation in 16.2% of all patients and should therefore be known and excluded. In addition, the treatment periods and referral routes of patients with chronic leg ulcer should be identified. The analysis showed that the vast majority (86.8%) of patients with chronic ulcers who were investigated by us is treated by specialists. The treatment duration of general practitioners is 6.3 weeks (mean value) before the patient will be referred to a specialist. This treatment period is significantly shorter compared to the treatment period of the specialists, who treat their patients 14.1 weeks (mean value) before the patient will be referred to another specialist or to a clinic. Conclusion: Our results show the current aspects of aetiology and the way of treatment of patients with chronic leg ulcers in Germany.


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