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Gradient-related is a term used in multivariable calculus to describe a direction. A direction sequence is gradient-related to if for any subsequence that converges to a nonstationary point, the corresponding subsequence is bounded and satisfies
A gradient-related direction is usually encountered in the gradient-based iterative optimisation of a function . At each iteration the current vector is and we move in the direction , thus generating a sequence of directions.
It is easy to guarantee that the directions we generate are gradient-related, by for example setting them equal to the gradient at each point.
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