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遥感事业部
IDL
Advanced
及其详细功能介绍
IDL Advanced
是
IDL<
/p>
的一个新的增值模块,它全面集成了
IMSL
TM
C Numerical Library
的数学和
统计程序,在
IDL
原有的交互式数据分析和可视化功能基础上
增加了复杂的数学
和统计功能。
IMSL
(
International Mathematics and
Statistics
Library
)
是由
Visual
Numerics,Inc
从
20
世纪
70
年代开始开发的包含全面的数学和统计函数的软件包,
p>
拥有超过
300
个已证明
< br>且精准的数学统计算法,
IDL Advanced
中包
含了除金融方面函数之外的整个
C
语言库。
IDL Advanced
为科学家和专业领域的工程师
提供了
185
个经过证明的运算函数,
在
IDL
环境下,
用户只需要简单地调
用这些函数到自己的应用程序中,
就可以实现复杂的数学和统
计
运算,并可以进行运算结果的快速可视化。
1.
IMSL
数学和统计功能列表:
Linear System
(线性系统)
Eigensystem Analysis
(特征系统分析)
Interpolation and Approximation
(差值和拟合)
Quadrature
(积分)
Differential Equations
(微分方程)
Transforms
(变换)
Nonlinear
Equations
(非线性方程)
Optimization
(最优化)
Special
Functions
(特殊函数)
Basic Statistics and Random Number
Generators
(基础统计和随机数产生)
Regression
(回归)
Correlation and Covariance
(相关和协方差)
Analysis
of Variance
(变异分析)
Categorical and Discrete Data Analysis
(分类和离散数据分析)
Nonparametric Statistics
(非参数统计)
Goodness
of Fit
(拟和优度
/
配合度)
Time Series and Forecasting
(时间序列和预测)
Multivariate Analysis
(多元分析)
Survival
Analysis
(生存分析)
Probability Distribution Functions and
Inverses
(概率分布函数和反转)
Random Number Generation
(随机数生成)
Math and
Statistics Utilities
(应用数学统计)
2.
IDL
Advanced
数学功能详细介绍
§
1 Linear System
(线性系统)
Matrix
Inversion
矩阵转置
IMSL_INV
Linear Equations
with Full Matrices
全矩阵线性方程
IMSL_SP_LUSOL
IMSL_SP_LUFAC
遥感事业部
IMSL_SP_CHSOL
IMSL_SP_CHFAC
Linear Least
Squares with Full Matrices
全矩阵线性最小二乘
IMSL_QRSOL
IMSL_QRFAC
IMSL_SVDCOMP
IMSL_CHNNDSOL
IMSL_CHNNDFAC
IMSL_LINLSQ
Sparse Matrices
稀疏矩阵
IMSL_SP_LUSOL
IMSL_SP_LUFAC
IMSL_SP_BDSOL
IMSL_SP_BDFAC
IMSL_SP_PDSOL
IMSL_SP_PDFAC
IMSL_SP_BDPDSOL
IMSL_SP_BDPDFAC
IMSL_SP_GMRES
IMSL_SP_CG
IMSL_SP_MVMUL
§
2
Eigensystem Analysis
(特征系统分析)
Linear Eigensystem Problems
线性特征系统问题
IMSL_EIG
Generalized Eigensystem Problems
广义特征系统问题
IMSL_EIGSYMGEN
IMSL_GENEIG
§
3 Interpolation and
Approximation
(差值和拟合)
Cubic Spline Interpolation
三次样条插值
IMSL_CSINTERP
IMSL_CSSHAPE
B-spline Interpolation
B-
样条插值
IMSL_BSINTERP
IMSL_BSKNOTS
B-spline and Cubic Spline Evaluation
and Integration
B-
样条、三次样条评价及综合
IMSL_SPV
ALUE
IMSL_SPINTEG
Least-squares Approximation
and Smoothing
最小二乘拟和及滤波
IMSL_FCNLSQ
IMSL_BSLSQ
IMSL_CONLSQ
IMSL_CSSMOOTH
IMSL_SMOOTHDA
TA1D
Scattered Data
Interpolation
离散数据插值
遥感事业部
IMSL_SCAT2DINTERP
IMSL_RADBF
IMSL_RADBE
§
4 Quadrature
(积分)
Univariate and Bivariate Quadrature
一元积分和双重积分
IMSL_INTFCN
Arbitrary Dimension Quadrature
任意维的积分
IMSL_INTFCNHYPER
IMSL_INTFCN_QMC
Gauss Quadrature
高斯积分
IMSL_GQUAD
Differentiation
区别
IMSL_FCN_DERIV
§
5
Differential Equations
(微分方程)
IMSL_ODE
IMSL_PDE_MOL
IMSL_POISSON2D
§
6 Transforms
(变换)
IMSL_FFTCOMP
IMSL_FFTINIT
IMSL_CONVOL1D
IMSL_CORR1D
IMSL_LAPLACE_INV
§
7 Nonlinear Equations
(非线性方程)
Zeros of a Polynomial
多项式的零点
IMSL_ZEROPOL
Y
Zeros of a Function
函数的零点
IMSL_ZEROFCN
Root of a System of Equations
方程组的根
IMSL_ZEROSYS
§
8 Optimization
(最优化)
Unconstrained Minimization
无约束最小化
IMSL_FMIN
IMSL_FMINV
IMSL_NLINLSQ
Linearly Constrained Minimization
线性约束最小化
IMSL_LINPROG
IMSL_QUADPROG
Nonlinearly Constrained Minimization
非线性约束最小化
IMSL_MINCONGEN
IMSL_CONSTRAINED_NLP
§
9 Special Functions
(特殊函数)
Error Functions
误差函数
IMSL_ERF
遥感事业部
IMSL_ERFC
IMSL_BETA
IMSL_LNBETA
IMSL_BETAI
Gamma Functions
γ
函数
IMSL_LNGAMMA
IMSL_GAMMA_ADV
IMSL_GAMMAI
Bessel Functions
with Real Order and Complex Argument
一般和复杂的贝赛尔函数
IMSL_BESSI
IMSL_BESSJ
IMSL_BESSK
IMSL_BESSY
IMSL_BESSI_EXP
IMSL_BESSK_EXP
Elliptic Integrals
椭圆积分
IMSL_ELK
IMSL_ELE
IMSL_ELRF
IMSL_ELRD
IMSL_ELRJ
IMSL_ELRC
Fresnel
Integrals
菲涅耳积分
IMSL_FRESNEL_COSINE
IMSL_FRESNEL_SINE
Airy Functions
Airy
函数
IMSL_AIRY_AI
IMSL_AIRY_BI
Kelvin
Functions
开尔文函数
IMSL_KELVIN_BER0
IMSL_KELVIN_BEI0
IMSL_KELVIN_KER0
IMSL_KELVIN_KEI0
3.
IDL
Advanced
统计功能详细介绍
§
1 Basic Statistics
(基础统计)
Simple Summary Statistics
简单统计概要
IMSL_SIMPLESTA
T
IMSL_NORM1SAMP
IMSL_NORM2SAMP
Tabulate, Sort, and Rank
列表、分类和排列
IMSL_FREQTABLE
IMSL_SORTDA
TA
IMSL_RANKS
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