Примеры использования Linear algebraic на Английском языке и их переводы на Русский язык
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Computer Solution of Linear Algebraic Systems.
A discrete analogue of the problem is proposed andcomputational algorithm is developed to solve the resulting system of linear algebraic equations.
System of linear algebraic equations you want to solve.
Gauss method of solving systems of linear algebraic equations.
Equivalently, a linear algebraic group over k is a smooth affine group scheme over k.
General information of solving systems of linear algebraic equations.
A linear algebraic group over a field k is defined as a smooth closed subgroup scheme of GL(n) over k, for some positive integer n.
Developing the application of solution of the system of linear algebraic equations by Gauss.
A connected linear algebraic group G over an algebraically closed field is called semisimple if every smooth connected solvable normal subgroup of G is trivial.
In single-mode approach this problem has been reduced to set of linear algebraic equations.
The basic example of a non-reductive linear algebraic group is the additive group Ga over a field.
In this paper we investigate the equation of hyperbolic type loaded free member and additional terms andreduced to the study of linear algebraic equations.
One of the ways to solve the system of the linear algebraic equations(SLE) is to use the Cramer's rule.
Let G be a linear algebraic group over the rational numbers Q. Then G can be extended to an affine group scheme G over Z, and this determines an abstract group GZ.
The most simple method to solve system of linear algebraic equations(SLE) is the substitution method.
Solvers on the basis of presented the BiCGStab and FGMRES methods algorithms including ILU andmultigrid preconditioning are developed on the C++ language for sparse linear algebraic equations systems.
The efficiency comparison of solvers for sparse linear algebraic equations systems based on the BiCGStab and FGMRES methods.
A linear algebraic group G over a field k is called simple(or k-simple) if it is semisimple, nontrivial, and every smooth connected normal subgroup of G over k is trivial or equal to G. Some authors call this property"almost simple.
We have designed andimplemented a system for solving large systems of linear algebraic equations by means of a cluster.
We solve the system of linear algebraic equations for the unknown coefficients and write the resulting first integral in the form of(2) where the coefficients found are already known.
In the direct mathematical formulation,the computations of all the forces acting on the particles require the solving of the system of linear algebraic equations, the amount of which is defined by the number of atoms.
Backward substitution is a procedure of solving a system of linear algebraic equations[math]Ux y[/math], where[math]U[/math] is an upper triangular matrix whose diagonal elements are not equal to zero.
Figures 1 and 2 show the information structure of amatrix multiplication algorithm and of an algorithm for solving a system of linear algebraic equations with a block-structured bidiagonal matrix.
More generally, a connected linear algebraic group G over an algebraically closed field is called reductive if every smooth connected unipotent normal subgroup of G is trivial.
For example, the simplest solution of the problem it is synthesized a new gradient method for solving this problem,based on intelligence it on each iteration to solve underdetermined linear algebraic equations and computation of their solutions with the right inverse matrix.
For a perfect field k, that can be avoided: a linear algebraic group G over k is reductive if and only if every smooth connected unipotent normal k-subgroup of G is trivial.
The site has about 60 online calculators which can solve integrals, derivatives, limits, differential equations, plot functions, make diffent matrix transformations include addition, substraction, multiplication, transpose, power, find matrix determinant, rank, trace, inverse, upper triangle form, eigenvalues and eigenvectors,find solution of any power algebraic equations and systems of linear algebraic equations with step by step solution.
Puzikova The efficiency comparison of solvers for sparse linear algebraic equations systems based on the BiCGStab and FGMRES methods pp.
When G is d-regular,a linear algebraic definition of expansion is possible based on the eigenvalues of the adjacency matrix A A(G) of G, where A i j{\displaystyleA_{ij}} is the number of edges between vertices i and j.
In this direction, Steinberg proved Serre's"Conjecture I":for a connected linear algebraic group G over a perfect field of cohomological dimension at most 1, H1(k, G) 1.