Results 11 to 20 of about 1,955,543 (186)
Quantum Circulant Preconditioner for Linear System of Equations [PDF]
, 2018 We consider the quantum linear solver for $Ax=b$ with the circulant preconditioner $C$. The main technique is the singular value estimation (SVE) introduced in [I. Kerenidis and A. Prakash, Quantum recommendation system, in ITCS 2017].
A. Ambainis +7 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 $f=n-r$.
openaire +4 more sources
Tropical differential equations [PDF]
, 2015 Tropical differential equations are introduced and an algorithm is designed which tests solvability of a system of tropical linear differential equations within the complexity polynomial in the size of the system and in its coefficients.
Grigoriev, Dima
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Solution of the system of the 2-refined neutrosophic linear equations by using Cramer’s rule [PDF]
Neutrosophic Sets and SystemsIn this paper, we introduced Cramer's rule for solving a system of the 2-refined neutrosophic linear equations. We defined the general form of the 2-refined neutrosophic linear equations and generalized this to system of the 2-refined neutrosophic linear
Yaser Ahmad Alhasan +2 more
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Discrete Orthogonal Polynomials with Hypergeometric Weights and Painlev\'e VI [PDF]
, 2018 We investigate the recurrence coefficients of discrete orthogonal polynomials on the non-negative integers with hypergeometric weights and show that they satisfy a system of non-linear difference equations and a non-linear second order differential ...
Filipuk, Galina, Van Assche, Walter
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Applied Mathematics in Science and Engineering, 2022 In this research, we suggested a numerical iterative scheme for investigating the numerical solution of fuzzy linear and nonlinear systems of equations, particularly where the linear or nonlinear system co-efficient is a crisp number and the right-hand ...
Mudassir Shams +4 more
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An experimental comparison of two preconditioned iterative methods to solve the elliptic partial differential equations [PDF]
Computational Algorithms and Numerical Dimensions, 2022 System of linear equations plays an important role in science and engineering. One of the applications of this system occurs in the discretization of the partial differential equations.
Seyyed Ahmad Edalatpanah
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On a system of differential equations with random parameters
Современная математика: Фундаментальные направления, 2022 An explicit formula for the mathematical expectation and second moment functions of a solution to a linear system of ordinary differential equations with a random parameter and a vector random righthand side is obtained.
V. G. Zadorozhniy, G. S. Tikhomirov
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ILU preconditioning based on the FAPINV algorithm [PDF]
Opuscula Mathematica, 2015 A technique for computing an ILU preconditioner based on the factored approximate inverse (FAPINV) algorithm is presented. We show that this algorithm is well-defined for H-matrices.
Davod Khojasteh Salkuyeh +2 more
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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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