volume

在Z2[X]中判断一个多项式是否本原多项式，并能对给定的多项式求逆。 (in Z2 [X] to judge whether a polynomial primitive polynomial, and the right to the inverse polynomials.)

用LU和LDU分解求解方程组，给出了详细说明(The equations are solved by the decomposition of LU and LDU, and the detailed description is given.)

对病态系统采用了四阶龙格库塔法和蛙跳法进行了仿真，得到了很好的实验结果(Pathological systems using fourth-order Runge-Kutta method and the leapfrog method for the simulation, the experimental results)

求概率分布函数的参数方法 采用迭代法估计Beta分布的分布参数，(Estimation of distribution parameters of Beta distribution by iterative method)

本人编写的基于最小二乘法的圆拟合程序，可直接下载使用。(I prepared the least squares method based on circle fitting procedures, can be directly download.)

ABAQUS中用户材料子程序UMAT的开发主要解决两方面的问题：本构模型的建立和积分算法的选择。 本文主要研究非线性材料的UMAT实现方法，并重点研究其迭代算法部分，目前，用户材料子程序UMAT的迭代算法主要是常刚度法，常刚度法的优点在于算法原理较简单，程序编写较方便，缺点是当遇到复杂非线性材料时，其迭代次数较多，收敛速度也较慢，在这个情况下，本文采取的是一种迭代次数较少且收敛速度较快的切线刚度法，具体就是采用FORTRAN语言编制了基于Von-Mises模型的接口程序,并采用切线刚度算法，通过与ABAQUS自带本构关系计算的结果相比较，验证其正确性。(This paper studies the user subroutine UMAT of ABAQUS development methods, the use of FORTRAN language isotropic hardening material model of the interface program, studied the effects of such material is extremely elastic-plastic constitutive relation method. This article UMAT tightly around the secondary development of technology, the first principle of its interface detail, and then for the theory of nonlinear finite element incremental stiffness of the regular tangent stiffness method and the theory of algorithms to do an in-depth analysis of deduced a regular tangent stiffness and rigidity of the law of the specific expression of algorithm theory, and then the preparation of the two algorithms, respectively, of the UMAT program, and finally the establishment of a specific model checking, bringing with ABAQUS elasto-plastic constitutive relation of the calculated results compared to verify the correctness of the two.)

最小二乘法寻找最佳函数匹配，用以数值计算，优化曲线(The least square method is used to find the best function matching for numerical calculation and curve optimization.)

Algo2-2.c C program for implementing Algorithm 2.2 Algorithm translated to C by: Dr. Norman Fahrer IBM and Macintosh verification by: Daniel Mathews NUMERICAL METHODS: C Programs, (c) John H. Mathews 1995 To accompany the text: NUMERICAL METHODS for Mathematics, Science and Engineering, 2nd Ed, 1992 Prentice Hall, Englewood Cliffs, New Jersey, 07632, U.S.A. Prentice Hall, Inc. USA, Canada, Mexico ISBN 0-13-624990-6 Prentice Hall, International Editions: ISBN 0-13-625047-5 This free software is compliments of the author. E-mail address: in "mathews@fullerton.edu" Algorithm 2.2 (Bisection Method). Section 2.2, Bracketing Methods for Locating a Root, Page 61

windows计时器工具，能够精确到毫(0.001)，说明文档请用office2010打开。(windows timer tools, technology is accurate to the mm (0.001), documentation office2010 open.)

本程序提供大量实用多项式计算函数：求一维实(复)多项式值、求一维多项式组值、求二维实(复)多项式值、两一维多项式相乘、两一维多项式除法、计算连分式函数值。(look it yourself.)