For what ultimate purposes may algorithms like Nelder-Mead, Newton-Raphson or gradient-descent be used for? a) To find the minimum of a function. b) To find all zeros of a function.

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Concept of Randomized Approximation Algorithms

Randomized algorithms are algorithms that use random numbers to determine what to do next at any point in their logic. This means that it uses randomization for operation in the logic. Due to this randomness, the time and space complexity of the standard algorithm is reduced.