Algorithms for Minimization Without Derivatives
(eBook)

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Published:
[United States] : Dover Publications, 2013.
Format:
eBook
Content Description:
1 online resource (208 pages)
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Description

This outstanding text for graduate students and researchers proposes improvements to existing algorithms, extends their related mathematical theories, and offers details on new algorithms for approximating local and global minima. None of the algorithms requires an evaluation of derivatives; all depend entirely on sequential function evaluation, a highly practical scenario in the frequent event of difficult-to-evaluate derivatives. Topics include the use of successive interpolation for finding simple zeros of a function and its derivatives; an algorithm with guaranteed convergence for finding a minimum of a function of one variation; global minimization given an upper bound on the second derivative; and a new algorithm for minimizing a function of several variables without calculating derivatives. Many numerical examples augment the text, along with a complete analysis of rate of convergence for most algorithms and error bounds that allow for the effect of rounding errors.

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Language:
English
ISBN:
9780486143682, 0486143686

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Description
This outstanding text for graduate students and researchers proposes improvements to existing algorithms, extends their related mathematical theories, and offers details on new algorithms for approximating local and global minima. None of the algorithms requires an evaluation of derivatives; all depend entirely on sequential function evaluation, a highly practical scenario in the frequent event of difficult-to-evaluate derivatives. Topics include the use of successive interpolation for finding simple zeros of a function and its derivatives; an algorithm with guaranteed convergence for finding a minimum of a function of one variation; global minimization given an upper bound on the second derivative; and a new algorithm for minimizing a function of several variables without calculating derivatives. Many numerical examples augment the text, along with a complete analysis of rate of convergence for most algorithms and error bounds that allow for the effect of rounding errors.
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Mode of access: World Wide Web.
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APA Citation (style guide)

Brent, R. P. (2013). Algorithms for Minimization Without Derivatives. [United States], Dover Publications.

Chicago / Turabian - Author Date Citation (style guide)

Brent, Richard P.. 2013. Algorithms for Minimization Without Derivatives. [United States], Dover Publications.

Chicago / Turabian - Humanities Citation (style guide)

Brent, Richard P., Algorithms for Minimization Without Derivatives. [United States], Dover Publications, 2013.

MLA Citation (style guide)

Brent, Richard P.. Algorithms for Minimization Without Derivatives. [United States], Dover Publications, 2013.

Note! Citation formats are based on standards as of July 2022. Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy.
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d5b68cfa-d93f-0894-3e6f-ddb49d4f9923
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Hoopla Extract Information

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Last File Modification TimeNov 22, 2023 11:31:15 PM
Last Grouped Work Modification TimeJan 26, 2024 03:04:47 PM

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