factorize

Examples of factorization

factorization
A factorization is a homomorphism which is surjective.
The factorization obtained is quite strong and allows us in particular to get general results about isomorphism rigidity and joinings.
The methods discussed here only require matrix-vector products, or perhaps a single sparse direct matrix factorization.
This assumption simplifies the mathematical manipulation of the residual variance-covariance matrix (inversion, factorization, etc.), but may deviate from reality.
Unfortunately, the logarithm prevents every useful factorization of such an average and makes this method impracticable.
How well separated could we expect the factors in a factorization to be?
The first is factorization (conceptualization): the head words are associated with their frequency of appearance in the text to calculate the distances among concepts.
Assuming the axiom of choice, this factorization is unique up to equivalence.
Some work has been done on developing incomplete factorization preconditioners specifically for saddle point matrices.
There exists a cellular automaton with the shadowing property, whose column factorizations are not subshifts of finite type.
Every one-sided factor subshift of a cellular automaton is clearly a factor of some column factorization.
Here, we shall invoke the simplest of all closures : the gradient transport hypothesis, together with ensemble-average factorization.
It turns out that this rank reduction procedure is closely related to matrix factorization, data compression, dimension reduction, and feature selection/extraction.
For general and the induced composition structure cannot be expressed by a simple product formula, because the denominator has no good factorization.
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