On the Diophantine equation x~p-1=Dy~n; 关于丢番图方程x~p-1=Dy~n 2. On the solution of the Diophantine equations x~2-2p=y~n; 关于丢番图方程x~2-2p=y~n的解 3. On the Diophantine equation(15n)~x+(112n)~y=(113n)~z; 关于丢番图方程(15n)~x+(112n)~y=(113n)~z 更...
A study on system of linear diophantine equationsS. DeviInternational Journal of Academic Research and Development
1) over determined system of linear equations 超定线性方程组1. In this paper,an approximation algorithm is proposed in order to find an epsilon minimax solution of an over determined system of linear equations. 本文通过构造一个无约束凸规划问题 ,建立了求超定线性方程组的极大极小解的一种近似...
It has been known for a long time [Gordan 1873, Hilbert 1890] that the set of non-negative integer solutions of a system of homogeneous linear diophantine equations (3.35)Ax=0,x∈ℕn, with A∈ ℤm×n, is a finitely generated submonoid M of ℕn. There exists a unique finite sub...
In solving the system of linear equations, the system factorizes the static portion of the matrix only once, and reuses the factorization of the static portion in performing an overall factorization of the matrix for each time step of the time-based simulation. 展开 ...
On the system of Diophantine equations anddoi:10.1016/j.jnt.2014.12.021Exponential Diophantine equationLinear form in logarithms of algebraic numbersGiven positive integers r and m, one can create a positive integer solution ( b , c ) to the first equation in the title by setting b and c ...
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Let M g be the moduli space of smooth, genus g curves over an algebraically closed field K of zero characteristic. Denote by M g ( G ) the subset of M g of... E Badr,F Bars - 《Mediterranean Journal of Mathematics》 被引量: 8发表: 2016年 Solving matrix diophantine equations by in...
The algebraic reconstruction of an image in discrete tomography from the projections in a few directions involves solving an underdetermined linear system of projection equations (1)Mx=b, where M is an m×n2 matrix, x∈Rn2 a reconstructed image vector for an n×n 2-dimensional image and b∈...
Algorithms for Hermite and Smith normal matrices and linear Diophantine equations New algorithms for constructing the Hermite normal form (triangular) and Smith normal form (diagonal) of an integer matrix are presented. A new algorithm f... GH Bradley - 《Mathematics of Computation》 被引量: 98发...