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Cauchy problem for overdetermined systems
Annali di Matematica Pura ed Applicata, 1990The main goal of the article is to study the Cauchy problem for overdetermined systems of constant coefficient linear partial differential operators. The notions of noncharacteristicity, of hyperbolicity, of equations of evolution type, and of propagation cones are introduced and conditions of an algebraic nature are considered with which one can check
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Regression for overdetermined systems: A fisheries example
Canadian Journal of Statistics, 1999AbstractIn trying to establish the relationship between a yearly fisheries recruitment series and meteorological or oceanographic variables such as air pressure or sea surface temperature, we are often faced with the situation where the number of regressors exceeds the number of observations.
Manchester, L. +2 more
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G2-Geometry of Overdetermined Systems of Second Order
1999The main theme of this paper is “Contact Geometry of Second Order”. This topic has its origin in the following paper of E. Cartan.
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The package CRACK for solving large overdetermined systems
ACM SIGSAM Bulletin, 2005The program CRACK is a computer algebra package written in REDUCE for the solution of over-determined systems of algebraic, ordinary or partial differential equations with at most polynomial non-linearity. It is available as part of version 3.8 of the REDUCE system (dated April 2004) and the latest development version can be downloaded from http://lie ...
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Hartogs-Rosenthal theorem for overdetermined systems
1994Let \(P= P(x, D)= (P_{ij} (x,D) )_{1\leq i\leq l, 1\leq j\leq k}\) be an \((l\times k)\)-matrix of linear partial differential operators with smooth complex valued coefficients on an open subset \(X\subset \mathbb{R}^ n\). To avoid trivial situations, we assume that \(P\) is not zero on any open subset of \(X\). For every subset \(\sigma \subset X\) we
BOITI, Chiara +2 more
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Overdetermined systems of linear equations
2020Optimization problems are very often used in engineering and life sciences. Overdetermined systems are a basic starting point in setting up and studying optimization problems. We will present here a brief overview of the theory of overdetermined systems of linear equations. The aim of this presentation is to investigate overdetermined systems of linear
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Solving some overdetermined polynomial systems
Proceedings of the 1999 international symposium on Symbolic and algebraic computation, 1999Marc Giusti, Éric Schost
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Solution of an Overdetermined Stationary Stokes-Type System in Half-Space
Journal of Applied and Industrial Mathematics, 2022Kh Kh Imomnazarov +2 more
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