书目名称 | Numerical Derivatives and Nonlinear Analysis | 编辑 | Harriet Kagiwada,Robert Kalaba,Karl Spingarn | 视频video | | 丛书名称 | Mathematical Concepts and Methods in Science and Engineering | 图书封面 |  | 描述 | For many years it has been an article of faith of numerical analysts that the evaluation of derivatives of complicated functions should be avoided. Derivatives were evaluated using finite differences or, more recently, using symbolic manipulation packages. The first has the disadvantage of limited accuracy. The second has disadvantages of being expensive and requiring considerable computer memory. The recent developments described in this text allow the evaluation of derivatives using simple automatic derivative evaluation subroutines pro grammed in FORTRAN or BASIC. These subroutines can even be programmed on a personal computer. The concept for the evaluation of the derivatives was originally developed by Wengert over 20 years ago. Significant im provements have been made in Wengert‘s method and are utilized in this text. The purpose of this text is to familiarize computer users with a simple and practical method for obtaining the partial derivatives of complicated mathematical expressions. The text illustrates the use of automatic deriva tive evaluation subroutines to solve a wide range of nonlinear least-squares, optimal control, system identification, two-point boundary val | 出版日期 | Book 1986 | 关键词 | Fortran; computer; control; identification; software | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4684-5056-9 | isbn_softcover | 978-1-4684-5058-3 | isbn_ebook | 978-1-4684-5056-9 | copyright | Plenum Press, New York 1986 |
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