a normal form in free fields - LaCIM
... the first author as universal field of fractions of the ring of noncommutative polynomials; they are universal objects in the category whose morphisms are specializations. A characteristic property is that each full polynomial matrix may be inverted in the free field. A normal form for the elements ...
... the first author as universal field of fractions of the ring of noncommutative polynomials; they are universal objects in the category whose morphisms are specializations. A characteristic property is that each full polynomial matrix may be inverted in the free field. A normal form for the elements ...
Lecture notes on numerical solution of DEs and linear algebra
... In this chapter we are going to study differential equations, with particular emphasis on how to solve them with computers. We assume that the reader has previously met differential equations, so we’re going to review the most basic facts about them rather quickly. A differential equation is an equa ...
... In this chapter we are going to study differential equations, with particular emphasis on how to solve them with computers. We assume that the reader has previously met differential equations, so we’re going to review the most basic facts about them rather quickly. A differential equation is an equa ...
here.
... Solving this system means finding the set of all pairs (x1 , x2 ), which show a true statement when plugged in. We can find solutions in many different ways. Let us first approach the system algebraically, using elimination. The advantage of elimination is that it can easily be generalized to system ...
... Solving this system means finding the set of all pairs (x1 , x2 ), which show a true statement when plugged in. We can find solutions in many different ways. Let us first approach the system algebraically, using elimination. The advantage of elimination is that it can easily be generalized to system ...
Max-plus Linear Algebra with Scilab
... 2. policy iteration. This is a joint work with Jean CochetTerrasson: there is a fixed point analogue of the max-plus spectral policy iteration algorithm à la Howard which is detailed below. In the case of the equation x = ax ⊕b, we can prove that this policy iteration algorithm allways requires les ...
... 2. policy iteration. This is a joint work with Jean CochetTerrasson: there is a fixed point analogue of the max-plus spectral policy iteration algorithm à la Howard which is detailed below. In the case of the equation x = ax ⊕b, we can prove that this policy iteration algorithm allways requires les ...
Non-negative matrix factorization
NMF redirects here. For the bridge convention, see new minor forcing.Non-negative matrix factorization (NMF), also non-negative matrix approximation is a group of algorithms in multivariate analysis and linear algebra where a matrix V is factorized into (usually) two matrices W and H, with the property that all three matrices have no negative elements. This non-negativity makes the resulting matrices easier to inspect. Also, in applications such as processing of audio spectrograms non-negativity is inherent to the data being considered. Since the problem is not exactly solvable in general, it is commonly approximated numerically.NMF finds applications in such fields as computer vision, document clustering, chemometrics, audio signal processing and recommender systems.