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Isolated Calmness of Perturbation Mappings and Superlinear Convergence of Newton-Type Methods.
J Optim Theory Appl
October 2024
Department of Mathematics and Computer Science, Philipps-Universität Marburg, 35032 Marburg, Germany.
In this paper, we characterize Lipschitzian properties of different multiplier-free and multiplier-dependent perturbation mappings associated with the stationarity system of a so-called generalized nonlinear program popularized by Rockafellar. Special emphasis is put on the investigation of the isolated calmness property at and around a point. The latter is decisive for the locally fast convergence of the so-called semismooth* Newton-type method by Gfrerer and Outrata.
View Article and Find Full Text PDFForecasting for regulatory credit loss derived from the COVID-19 pandemic: A machine learning approach.
Res Int Bus Finance
January 2023
Department of Financial Economics and Accounting, Faculty of Legal and Social Sciences, University of Jaén, Jaén, Spain.
The economic onslaught of the COVID-19 pandemic has compromised the risk management of financial institutions. The consequences related to such an unprecedented situation are difficult to foresee with certainty using traditional methods. The regulatory credit loss attached to defaulted mortgages, so-called expected loss best estimate (ELBE), is forecasted using a machine learning technique.
View Article and Find Full Text PDFPhotosystem II antenna modules CP43 and CP47 do not form a stable 'no reaction centre complex' in the cyanobacterium Synechocystis sp. PCC 6803.
Photosynth Res
June 2022
Laboratory of Photosynthesis, Institute of Microbiology of the Czech Academy of Sciences, Centre Algatech, Opatovický mlýn, 37981, Třeboň, Czech Republic.
The repair of photosystem II is a key mechanism that keeps the light reactions of oxygenic photosynthesis functional. During this process, the PSII central subunit D1 is replaced with a newly synthesized copy while the neighbouring CP43 antenna with adjacent small subunits (CP43 module) is transiently detached. When the D2 protein is also damaged, it is degraded together with D1 leaving both the CP43 module and the second PSII antenna module CP47 unassembled.
View Article and Find Full Text PDFPhase transition in piecewise linear random maps in the interval.
Chaos
September 2021
División de Control y Sistemas Dinámicos, IPICYT, Camino a la Presa San José 2055, Lomas 4a sección, C.P. 78216, San Luis Potosí, San Luis Potosí, Mexico.
We consider a simple example of a one-parameter family of random maps in the interval that exhibits a phase transition phenomenon in the sense of a spontaneous transition from non-existence to existence of an absolutely continuous invariant measure by changing the parameter. For this example of random maps, we estimate numerically the critical value at which the so-called transition occurs. This is done through the numerical computation of its invariant densities and the Lyapunov exponent.
View Article and Find Full Text PDFPediatric Trigger Thumb: Congenital or Developmental? A Unique Case Report.
J Hand Microsurg
October 2020
Department of Hand, Plastic and Reconstructive Microsurgery, Ganga Hospital, Coimbatore, Tamil Nadu, India.
Pediatric trigger thumb is the new terminology for the so-called congenital trigger thumb. This change in appellation was suggested based on recent knowledge acquired through prospective studies of a large number of newborns for the presence of trigger thumb at birth across many centers. In this background, we came across a newborn with trigger thumb which was diagnosed right after birth, putting aside all theories of nonexistence of congenital trigger thumb.
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