Least Sqaure Method for Sum of the Functions Satysfying the Differential Equations with Polynomial Coefficients

dc.creatorBerngardt, Oleg I.
dc.creatorVoronov, Alexander L.
dc.date2001-06-14
dc.date.accessioned2026-07-07T12:27:43Z
dc.date.available2026-07-07T12:27:43Z
dc.descriptionWe propose a linear algorithm for determining two function parameters by their linear combination. These functions must satisfy the first order differential equations with polynomial coefficients and our parameters are the coefficients of these polynomials. The algorithm consists of sequential solution by least squares method of two linear problems - first, differential equation polynomial coefficients determining for linear combination of two given functions and second - determining functions parameters by these polynomial coefficients. Numerical modeling carried by this scheme gives an good accordance under weak normal noise (with dispersion (<5%)).
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0106120
dc.identifierhttp://arxiv.org/abs/math/0106120
dc.identifierAnalele Universitatii din Timisoara Vol. XXXIX, Fasc. special, 2001, Seria Matematica/Informatica, pp.21-29
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215298
dc.subjectNumerical Analysis
dc.subjectOptimization and Control
dc.titleLeast Sqaure Method for Sum of the Functions Satysfying the Differential Equations with Polynomial Coefficients
dc.typetext

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