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Informally, an algorithm is a set of explicit instructions used to solve a problem (e.g. Euclid's algorithm for computing the greatest common divisor of two integers). For more specific questions on algorithms, this tag may be used in conjunction with the approximation-algorithms, algorithmic-randomness and algorithmic-topology tags.
2
votes
2
answers
251
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Procedure to determine the equality of numbers in rationals plus square root
Consider the set $\mathbb{Q}^\sqrt{}$ of real numbers that can be constructed by applying finitely many of the five operations $+$, $-$, $\cdot$, $/$ and $\sqrt{}$ to a positive rational number. Examp …
6
votes
1
answer
255
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Algorithm that solves every Mixed Integer Linear Program (to optimality)?
Given a Mixed Integer Linear Program with rational coefficients (both for the objective functions and all constraints), is it always possible to solve it algorithmically?
I know that you usually solv …
3
votes
1
answer
357
views
Equality of Euclidean numbers / constructible numbers
Euclidean numbers are those real number that can be constructed from the natural numbers by a finite chain of +,-,*,/ and $\sqrt{}$. They are also called Constructible Numbers.
I am now interested in …
1
vote
Heuristic for choosing n-vectors from n-sets
Your problem seems to fit for neighbourhood search algorithms, i.e. you run through the search space by always exchanging one (or a few) of the vectors by other vectors and compare the resulting objective …