program3

采用QR分解方法计算矩阵特征值和特征向量(computes a partial Schur decomposition of a square matrix or operator)

music高阶谱分析算法，IDW距离反比加权方法，BP神经网络用于函数拟合与模式识别。( music higher order spectral analysis algorithm, IDW inverse distance weighting method, BP neural network function fitting and pattern recognition.)

ABAQUS中的循环模型umat，并附有解释，实现循环加载下的模拟(Cycle model in ABAQUS umat, along with explanation, to achieve the simulation under cyclic loading)

程序计算在声速梯度下水中声线的传播并计算声线的长度(Program calculates the velocity gradient in the water line of acoustic sound propagation and calculate the length of the line)

采用有限元离散计算一维声子、光子能带，参数见文件源码内(Calculated using the finite element discrete one-dimensional phonon, photon energy band, within the parameters see document source)

说明：  彭曼公式主要是计算蒸散发量，在水文和气象中有广泛的应用(Penman formula to calculate evapotranspiration primarily, widely used in hydrology and meteorology)

应用基本粒子群算法求解复杂连续函数优化问题(Application of Basic Particle Swarm Optimization to Complex Continuous Function Optimization)

EDFA的掺铒光纤长度模拟计算，附3篇相关论文，330mw的980nm泵泵浦，3db的泵浦吸收，12m最佳长度已经的到验证，可作为EDFA设计参考 (EDFA erbium-doped fiber length simulation of three related papers, 330mw of 980nm pump pump pump 3db absorption 12m optimum length has been to verify, can be used as the EDFA design reference)

说明：  分数傅里叶变换程序，这个是二维分数阶傅里叶变化程序。(Fractional Fourier transform procedure, this is a two-dimensional fractional Fourier change process.)

改进的混沌引力搜索算法，程序有详细注释和相应的文献(The improved chaotic gravitational search algorithm has detailed annotations and corresponding documents.)