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Description
Algorithms for Minimization Without DerivativesThis 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
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.
Binding Type: Paperback
Publisher: Dover Publications
Published: 04/17/2013
ISBN: 9780486419985
Pages: 206
Weight: 0.47lbs
Size: 8.42h x 5.34w x 0.43d
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4.7 ★★★★★
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Product Reviews
★★★★★ 5
Indestructible bully toy
Color: Blue
We have a bully that chews through everything, believe it when I say, he loves this n it is still in one piece. Where I put treats in it or not. He’s also able to play tug of war with is brother with this toy. I will be buying additional ones!
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Reviewed in the United States on May 16, 2026
★★★★★ 4
Durable, Dogs love it
Color: Red
My Frenchie is a crazy chewer and can chew up a nylabone in a day, so I was looking for something that would last longer. So far this is holding up, and is pretty durable. Both my dogs like it a lot, it’s easy for them to grasp, and chewable but still very tough material. I suspect at some point it’ll wear down, but not for a while. The size was just as described / expected. Not too small and not too big
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Reviewed in the United States on May 23, 2025
★★★★★ 5
Great for aggressive chewers!
Color: Blue
Our aggressive chewers love these! Very durable.
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Reviewed in the United States on June 8, 2026
★★★★★ 3
NOT FOR PLAYING CATCH.
Color: Blue
This toy is quite heavy, making it good for a chew toy or for fetch, but not for catch. It could very easily injure your dog as it damned near did mine.
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Reviewed in the United States on May 19, 2026
★★★★★ 5
Peanut butter delivery system
Color: Blue
My big dog loves this bone. I run PB down the middle on one side when we go out. He loves it and brings the bone to us when we return to play :gimme that bone.”
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on June 3, 2026
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