A CONSTRAINED REGULARIZATION METHOD FOR INVERTING DATA REPRESENTED BY LINEAR ALGEBRAIC OR INTEGRAL-EQUATIONS
A CONSTRAINED REGULARIZATION METHOD FOR INVERTING DATA REPRESENTED BY LINEAR ALGEBRAIC OR INTEGRAL-EQUATIONS
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DOI：
10.1016/0010-4655(82)90173-4
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发表时间：
1982-01-01
影响因子：
6.3
通讯作者：
PROVENCHER, SW
中科院分区：
文献类型：
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作者：
PROVENCHER, SW
CONTIN是一个便携式Fortran IV软件包，用于反演噪声线性算子方程。这些问题出现在对各种实验数据的分析中。它们通常是不适定问题，这意味着非正则化反演中的误差是无界的。相反，CONTIN通过将简约性和任何统计先验知识纳入正则化器和绝对先验知识纳入等式和不等式约束来寻求最优解。这可以大大提高解的分辨率和精度。CONTIN是非常灵活的，包括一个核心的约50个子程序加上13个小的“用户”子程序，用户可以很容易地修改，以指定特殊用途的约束，正则化，运营商方程，模拟，统计加权等。在CONTIN中使用数值稳定算法。一个相当精确的定义的信息内容的自由度。正则化参数可以根据F检验和置信域自动选择。后者的解释和误差估计的基础上的协方差矩阵的约束正则化的解决方案进行了讨论。概述了CONTIN的策略、方法和选项。程序本身在下面的文件中描述。
CONTIN is a portable Fortran IV package for inverting noisy linear operator equations. These problems occur in the analysis of data from a wide variety experiments. They are generally ill-posed problems, which means that errors in an unregularized inversion are unbounded. Instead, CONTIN seeks the optimal solution by incorporating parsimony and any statistical prior knowledge into the regularizor and absolute prior knowledge into equallity and inequality constraints. This can be greatly increase the resolution and accuracyh of the solution. CONTIN is very flexible, consisting of a core of about 50 subprograms plus 13 small “USER” subprograms, which the user can easily modify to specify special-purpose constraints, regularizors, operator equations, simulations, statistical weighting, etc. Specjial collections of USER subprograms are available for photon correlation spectroscopy, multicomponent spectra, and Fourier-Bessel, Fourier and Laplace transforms. Numerically stable algorithms are used throughout CONTIN. A fairly precise definition of information content in terms of degrees of freedom is given. The regularization parameter can be automatically chosen on the basis of anF-test and confidence region. The interpretation of the latter and of error estimates based on the covariance matrix of the constrained regularized solution are discussed. The strategies, methods and options in CONTIN are outlined. The program itself is described in the following paper.