By Martin Kreuzer,Lorenzo Robbiano
This booklet combines, in a unique and normal means, an in depth improvement of the speculation of households of commuting matrices with purposes to zero-dimensional commutative earrings, basic decompositions and polynomial procedure fixing. It integrates the Linear Algebra of the 3rd Millennium, built completely right here, with classical algorithmic and algebraic options. Even the skilled reader should be pleasantly shocked to find new and unforeseen elements in numerous topics together with eigenvalues and eigenspaces of linear maps, joint eigenspaces of commuting households of endomorphisms, multiplication maps of zero-dimensional affine algebras, computation of basic decompositions and maximal beliefs, and resolution of polynomial systems.
This e-book completes a trilogy initiated by way of the uncharacteristically witty books Computational Commutative Algebra 1 and a couple of via an analogous authors. the cloth taken care of this is now not to be had in booklet shape, and lots more and plenty of it's not to be had in any respect. The authors proceed to offer it of their energetic and funny sort, interspersing middle content material with humorous quotations and tongue-in-cheek explanations.
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Extra resources for Computational Linear and Commutative Algebra
Computational Linear and Commutative Algebra by Martin Kreuzer,Lorenzo Robbiano