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Results tagged with algorithms
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user 111272
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.
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Norm to Principal Ideal
Over a number field, given the norm of an principal ideal, is there a way to find the principal ideal?
Also, Given ideals is there an algorithm to find principal ideals?
- 149
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Integrality certification for product of two matrices $A B^{-1}$
I considered $x$-adic expansions for $B^{-1}$ and $A$ separately and try to check whether product of terms becomes zero. It is not possible to test integrality of the product $AB^{-1}$ in this way a …
- 149
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Integrality certification for product of two matrices $A B^{-1}$
Let's consider two non-singular integer matrices $A,B \in\mathbb{Z}^{n\times n}$. I want a test to check if $A\times B^{-1}$ is integral (or no denominators). I am referring the unimodular certificati …
- 149