首页   按字顺浏览 期刊浏览 卷期浏览 Derivative convergence for iterative equation solvers*
Derivative convergence for iterative equation solvers*

 

作者: Andreas Griewank,   Christian Bischof,   George Corliss,   Alan Carle,   Karen Williamson,  

 

期刊: Optimization Methods and Software  （Taylor Available online 1993）
卷期: Volume 2, issue 3-4  

页码: 321-355

 

ISSN:1055-6788

 

年代: 1993

 

DOI:10.1080/10556789308805549

 

出版商: Gordon and Breach Science Publishers

 

关键词: Derivative convergence;Automatic differentiation;Implicit functions;preconditioning;Newton-like methods;secant updates

 

数据来源: Taylor

 

摘要:

When nonlinear equation solvers are applied to parameter-dependent problems, their iterates can be interpreted as functions of these variable parameters. The derivatives (if they exist) of these iterated functions can be recursively evaluated by the forward mode of automatic differentiation. Then one may ask whether and how fast these derivative values converge to the derivative of the implicit solution function, which may be needed for parameter identification, sensitivity studies, or design optimization.

 

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