Upper Triangular Matrices
Mostrando 1-3 de 3 artigos, teses e dissertações.
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1. A-polynomial identities in associative algebras / A-identidades polinomiais em algebras associativas
In this PhD thesis we study polynomial identities in associative algebras. More precisely we study the A-ideIltities for several important classes of algebras. The first main result of the thesis gives a complete description of the A-identities for the Grassmann algebra over an algebraically closed field of characteristic O. In this way we give a positive an
Publicado em: 2009
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2. Granded algebras and graded polynomial identities / Algebras graduadas e identidades polinomiais graduadas
In this work we study graded algebras and graded polynomial identities. We study two types of problems: finding the possible gradings on a given algebra, and finding a basis forthe graded identities of a given algebra. We begin with the basic definitions and results onalgebras, graded algebras, (graded) polynomial identities, etc. We give a description of th
Publicado em: 2007
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3. Finding the closest Toeplitz matrix
The constrained least-squares n × n-matrix problem where the feasibility set is the subspace of the Toeplitz matrices is analyzed. The general, the upper and lower triangular cases are solved by making use of the singular value decomposition. For the symmetric case, an algorithm based on the alternate projection method is proposed. The implementation does n
Computational & Applied Mathematics. Publicado em: 2003