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Solutions of Overdetermined Systems
2016In geodesy and geoinformatics, field observations are normally collected with the aim of estimating parameters. Very frequently, one has to handle overdetermined systems of nonlinear equations. In such cases, there exist more equations than unknowns, therefore “the solution” of the system can be interpreted only in a certain error metric, i.e., least ...
Joseph L. Awange, Béla Paláncz
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Solving Overdetermined Systems of Interval Linear Equations
Reliable Computing, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eldon R. Hansen, G. William Walster
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Formalising Overdetermination in a Labelled Transition System
International Joint Conference on Autonomous Agents and Multiagent SystemsIn the Knowledge Representation and Reasoning field, causality has mainly been used to determine the effects of actions. However, in legal or ethical reasoning, causality is used to determine the causal origin of a consequence. Such a posteriori reasoning is the focus of the Actual Causality field which has been extensively studied by lawyers ...
Camilo Sarmiento +2 more
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Overdetermined Infinite Linear Systems
AIP Conference Proceedings, 2009In this paper we extend some classical results from overdetermined finite linear systems to overdetermined infinite linear systems.
Béla Finta +3 more
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ON THE METHOD OF ORTHOGONAL EXTENSION OF OVERDETERMINED SYSTEMS
Mathematics of the USSR-Sbornik, 1974In the article a description is given of Noether boundary value problems for overdetermined systems of partial differential equations with constant coefficients of the form (1)where () is an matrix inducing a homomorphism whose kernel and cokernel are assumed to be free modules ( is the module composed of all -dimensional vectors with coordinates ...
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On Overdetermined Hyperbolic Systems
1989The notion of hyperbolicity is generalized, for overdetermined quasilinear systems. We define the system as hyperbolic if it is compatible and if its jet manifold is generated by the characteristic elements. The criterions of compatibility are also formulated.
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On the Compatibility of Overdetermined Systems of Double Waves
Nonlinear Dynamics, 2000Let \(u:G\subseteq{\mathbb{R}}^n\rightarrow{\mathbb{R}}^m\) be a smooth enough mapping; let \(A_\alpha(u)\), \(\alpha\in\{1,\ldots,n\}\), be an \(N\times m\) matrix depending on \(u\); let \(f(u)\) be an \(N\)-vector-function also depending on \(u\).
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Overdetermined systems of linear equations [PDF]
, 2016 The paper offers a fundamental overview of the theory relating to overdetermined systems of linear equations. Relying on the theory of projections, we examine the nature of the set of optimal solutions of the given overdetermined system. The paper also provides a brief functional approach to the above problem by utilizing p-norms.
Pavić, Zlatko +2 more
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Introduction to Overdetermined Systems
1990After much preliminary discussion we finally begin in this chapter with the subject of overdetermined systems. In this chapter, and the next two, we assume linear overdetermined systems, a restriction that will be relaxed in Chapter 7. Our system is where $$ A\cdot X = d, $$ (4.1) Where A matrix, called the data matrix or matrix of equations ...
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Complex Overdetermined Infinite Linear Systems
AIP Conference Proceedings, 2011In this paper we extend some classical results from overdetermined finite linear systems to overdetermined infinite linear systems in the complex case.
Béla Finta +4 more
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