题目内容

By using the 0.618 method, two points a1=0.382 and b1=0.618 are determined within the search interval [a,b], so it can be known that the value of the interval [a,b] is ().

A. [0,0.382]
B. [0.618,1]
C. [0,1]
D. [0.382,1]

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Which option does not use the first or second derivatives of the objective function in constructing the search direction in the following four unconstrained optimization methods?()

A. gradient method
B. Newton's method
C. variable scale method
D. coordinate rotation method

Which of the following requires the hessian matrix?()

A. The steepest descent method
B. The conjugate gradient method
C. The Newton's method
D. The DFP method

In the process of iterative operation of 0.618 method, the iterative interval keeps shrinking, and the reduction rate of the interval is ()in the process of iteration.

A. getting smaller
B. getting bigger
C. constant
D. not sure

The principle to select the inner point in golden section method is that each discarded interval is () times of the original interval.

A. 0.618
B. 0.5
C. 0.382
D. 0.75

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