spgl1-1.8

《数值分析方法库 》本书选材内容丰富，包括了当代科学计算过程中涉及的大量内容：求特殊函数值、随机数、排序、最优化、快速傅里叶变换、谱分析、小波变换、统计描述和数据建模、偏微分议程数值解、若乾编码算法和任意精度计算等。本书科学性和实用性统一，不仅对每种算法进行了数学分析和比较，而且根据作者经验对算法给出了评论和建议，并在此基础上提供了用C++语言编写的实用程序。(《Numerical Recipes in C: The Art of Scientific Computing》, The product of a unique collaboration among four leading scientists in academic research and industry, Numerical Recipes is a complete text and reference book on scientific computing. In a self-contained manner it proceeds from mathematical and theoretical considerations to actual practical computer routines. With over 100 new routines bringing the total to well over 300, plus upgraded versions of the original routines, the new edition remains the most practical, comprehensive handbook of scientific computing available today.)

根据传输线理论，计算无耗传输线的输入输出阻抗，画图表示电压电流和阻抗随线路长的变化(Based on transmission line theory to calculate the input and output impedance of the lossless transmission line, drawing, said the change of voltage, current and impedance with the line length)

PETSc (Portable, Extensible Toolkit for Scientific Computation) 是美国能源部ODE2000 支持开发的20 多个ACTS 工具箱之一，由Argonne 国家实验室开发的可移植可扩展科学计算工具箱，主要用于在分布式存储环境高效求解偏微分方程组及相关问题。(PETSc (Portable, Extensible Toolkit for Scientific Computation) is ODE2000 U.S. Department of Energy to support the development of one of more than 20 ACTS Toolkit, developed by the Argonne National Laboratory' s Portable, Extensible Toolkit scientific computing, mainly used in the distributed memory efficient environment for solving partial differential equations and related issues.)

计算离散傅里叶变换的一种快速算法，简称FFT。快速傅里叶变换是1965年由J.W.库利和T.W.图基提出的。采用这种算法能使计算机计算离散傅里叶变换所需要的乘法次数大为减少，特别是被变换的抽样点数N越多，FFT算法计算量的节省就越显著。(A computing discrete Fourier transform fast algorithm, referred to as FFT. Fast Fourier Transform in 1965 by the JW Cooley and TW Tuji Ti out. Using this algorithm enables a computer to calculate the number of multiplications needed for the discrete Fourier transform greatly reduced, especially sampling points N is transformed more and save FFT algorithm to calculate the amount of the more remarkable.)

说明：  基于矩阵QR分解的最小二乘拟合MATLAB源程序(based on QR decomposition of the matrix least squares fitting MATLAB source )

矩阵排序，按照行排序。 例如 矩阵[ 1 2 3 4 5 4 1 3 2 1 3 5 6 9 7]排序后为： [ 1 2 3 4 5 3 5 6 9 7 4 1 3 2 1] (matrix row sort )

说明：  satellite-tracking-opensource

PCM数据通信压缩算法，c语言编写，适合移植到单片机、dsp等目标系统上。(PCM data communications compression algorithm, c language, suitable for transplant to the microcontroller, dsp goals systems.)

采用随机数产生2到10阶的随机矩阵，并实现了矩阵的相关运算，比如：加减，乘除，求逆，求行列式(Using random Numbers generated random matrix from 2 to 10 order , and achieving relative to the implementation of the matrix operations, such as: add and subtract, multiple and divided, inverse and determinant)

共炮点地震波正演，其中、包括了直达波，反射波，折射波(Common shot point synthesis of reflected wave records)