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Reconstruction of map projection, its inverse and re-projection

Tomáš Bayer, Milada Kočandrlová (2018)

Applications of Mathematics

This paper focuses on the automatic recognition of map projection, its inverse and re-projection. Our analysis leads to the unconstrained optimization solved by the hybrid BFGS nonlinear least squares technique. The objective function is represented by the squared sum of the residuals. For the map re-projection the partial differential equations of the inverse transformation are derived. They can be applied to any map projection. Illustrative examples of the stereographic and globular Nicolosi projections...

Regions of stability for ill-posed convex programs: An addendum

Sanjo Zlobec (1986)

Aplikace matematiky

The marginal value formula in convex optimization holds in a more restrictive region of stability than that recently claimed in the literature. This is due to the fact that there are regions of stability where the Lagrangian multiplier function is discontinuous even for linear models.

Regularization in state space

G. Chavent, K. Kunisch (1993)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Regulatory network of drug-induced enzyme production: parameter estimation based on the periodic dosing response measurement

Papáček, Štěpán, Lynnyk, Volodymyr, Rehák, Branislav (2021)

Programs and Algorithms of Numerical Mathematics

The common goal of systems pharmacology, i.e. systems biology applied to the field of pharmacology, is to rely less on trial and error in designing an input-output systems, e.g. therapeutic schedules. In this paper we present, on the paradigmatic example of a regulatory network of drug-induced enzyme production, the further development of the study published by Duintjer Tebbens et al. (2019) in the Applications of Mathematics. Here, the key feature is that the nonlinear model in form of an ODE system...

Representación finita de sistemas de infinitas inecuaciones.

Miguel Angel Goberna Torrent, Marco A. López Cerdá, Jesús T. Pastor Ciurana (1982)

Trabajos de Estadística e Investigación Operativa

Dado un Problema de Programación Semi-Infinita, si se puede obtener una representación finita del conjunto factible, pueden aplicarse para resolver el problema los métodos de programación con restricciones finitas.En la primera parte se caracterizan los sistemas lineales infinitos que pueden ser reducidos a un sistema finito equivalente, dándose además condiciones suficientes y métodos para efectuar tal reducción. En la segunda parte se establecen diferentes procedimientos de obtención de la representación...

Robust preconditioners for the matrix free truncated Newton method

Lukšan, Ladislav, Matonoha, Ctirad, Vlček, Jan (2010)

Programs and Algorithms of Numerical Mathematics

New positive definite preconditioners for the matrix free truncated Newton method are given. Corresponding algorithms are described in detail. Results of numerical experiments that confirm the efficiency and robustness of the preconditioned truncated Newton method are reported.

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