Results 21 to 30 of about 313,126 (308)
Ìнформаційні технології в освіті, 2017 The problem of constructing quadratic equations and systems of equations with parameters using Maple-technology is studied. Today, the "learning tasks of reverse thinking" (V.A. Krutetsky) or simply "inverse problems" (P.M.Erdniev) are increasingly being
Kushnir V.
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On the convergence of the implicit iterative line-by-line recurrence method for solving difference elliptical equations [PDF]
Компьютерные исследования и моделирование, 2017 In the article a theory of the implicit iterative line-by-line recurrence method for solving the systems of finite-difference equations which arise as a result of approximation of the two-dimensional elliptic differential equations on a regular grid is ...
Alexander Arkad'evich Fomin +1 more
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Linear systems of Diophantine equations
The Electronic Journal of Linear Algebra, 2022 Given free modules $M\subseteq L$ of finite rank $f\geq 1$ over a principal ideal domain $R$, we give a procedure to construct a basis of $L$ from a basis of $M$ assuming the invariant factors or elementary divisors of $L/M$ are known. Given a matrix $A\in M_{m,n}(R)$ of rank $r$, its nullspace $L$ in $R^n$ is a free $R$-module of rank $f=n-r$.
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A Note on Systems of Linear Equations [PDF]
SIAM Review, 1961 This note is a comment on reference [1] and a generalization of the method there presented. We consider a system of m linear equations in n unknowns x_1, x_2,...x_n (1) Σ^(n)_(j=1) a_(ij)x_j = c_i i=1, 2,...m, a_(ij), c_i real or A∙x=c in matrix notation. We distinguish three cases: (I) There is no finite vector x satisfying (1) (inconsistent case);
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Cotton-Type and Joint Invariants for Linear Elliptic Systems
The Scientific World Journal, 2013 Cotton-type invariants for a subclass of a system of two linear elliptic equations, obtainable from a complex base linear elliptic equation, are derived both by spliting of the corresponding complex Cotton invariants of the base complex equation and from
A. Aslam, F. M. Mahomed
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Reduction of Linear Functional Systems using Fuhrmann's Equivalence
Sultan Qaboos University Journal for Science, 2016 Functional systems arise in the treatment of systems of partial differential equations, delay-differential equations, multidimensional equations, etc. The problem of reducing a linear functional system to a system containing fewer equations and unknowns ...
Mohamed S. Boudellioua
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Modelling of heat transfer In biological tissue by interval FEM
Computer Assisted Methods in Engineering and Science, 2023 In this paper, an algorithm of calculation of extreme values of temperature based on interval arithmetic is presented. Many mechanical systems with uncertain parameters can be described by a parameter dependent system of linear equations K()T = B ...
Marek Jasiński, Andrzej Pownuk
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Wavelet Methods Used to Solve a System of Linear Equations [PDF]
مجلة التربية والعلم, 2006 In this paper, we study the comparison among many methods to solve a system of linear equations based on the principle of wavelet methods as a Daubechies wavelet, Haar wavelet, Meyer wavelet, Symlet wavelet, Mexican Hat wavelet, Morlet wavelet.
Riyad Mubarak Abdullah +1 more
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A General System of Linear Equations [PDF]
Transactions of the American Mathematical Society, 1919 where U is a function on a composite range and A is a linear functional transformation We consider in this paper the solution of such equations, the corresponding non-homogeneous and adjoint equations, both when the functional transformation A is completely continuous but not necessarily symmetric, and when it is limited and symmetric.
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Linear Hamiltonian behaviors and bilinear differential forms [PDF]
, 2004 We study linear Hamiltonian systems using bilinear and quadratic differential forms. Such a representation-free approach allows us to use the same concepts and techniques to deal with systems isolated from their environment and with systems subject to ...
Rapisarda, P. +7 more
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