Conjugate vector base algorithm for solving ill-conditioned linear equations;

Neural network method in solving ill-conditioned linear system of equations;

Studying the algorithm for solving ill-conditioned linear system of equations is an important task of numerical calculation studying.

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.

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.