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单词 steepest descent
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steepest descent(s)
g. steepest descent(s) (Mathematics), used with reference to a method of finding a minimum of a function of two or more variables by repeatedly evaluating it at a point displaced from the previous point in the direction that locally involved the greatest drop in its value.
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steepest descent(s)1939
1939 Proc. Royal Soc. 1938–9 A. 169 484 In the method of steepest descents the displacement affects all co-ordinates and affects them in the ratio of their residual forces.
1943 Bull. Amer. Math. Soc. 49 18 We now choose the line along which the motion proceeds so that the descent is as steep as possible (lines of steepest descent).
1974 P. R. Adby & M. A. H. Dempster Introd. Optimization Methods iii. 57 The steepest descent method uses the Jacobian gradient g to determine a suitable direction of movement.
extracted from steepadj.n.2adv.
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