Non-linear algebraic equations of the theory of the introduction of higher algebra construction of teaching materials for courses

In this paper,new quadratic PEk method and quadratic EPEk method are given for solving a system of linear algebraic equations whose matrix of coefficients is tridiagonal blocked matrix.

For the sake of improving numerical stability and convergence of iterative methods for linear algebraic equations,appropriate preconditioned methods are necessary.

The Gram-Schmidt s orthogonalization,row action method with the greedy method and dividing-conquering strategy were used to put forth a parallel numerical method of solving an arbitrary system of linear algebraic equations.

The authors Utilize Gram-Schmidt s orthogonalization to put forward a parallel method of judging the consistency of arbitrary system of linear algebraic equations and determinging the general solution of arbitraty consistent system of linear algebraic equations,analyze its computational complexity,numerical stability,and its intrinsic parallism.

In this paper,simulation of nonlinear algebraic equations with PSPICE is discussed.

By using trial function method and introducing a new transformation, the nonlinear partial differential equation that is hard to be solved by making use of the regular technique can be reduced to a set of nonlinear algebraic equations, which can be easily solved, and their related coefficients can be easily determined by virtue of taking advantage of the approach of undetermined coefficients.

The high-performance solution of sparse linear algebra equations is very important in solving many problems from science and engineering applications, including computational fluid, simulation and design of materials, data processing in oil exploitation and earthquake prediction, numerical forecast of weather, and numerical simulation of nuclear blast.