Least Squares Computations Using Orthogonalization Methods


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Least Squares Computations Using Orthogonalization Methods


Least Squares Computations Using Orthogonalization Methods

Author: James W. Longley

language: en

Publisher: Marcel Dekker

Release Date: 1984


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Orthogonalization, elimination, least squares and correlation. The least suqares problem. Back substitution, forward solution inversion. Classical gram-schmidt vs. modified gram-schmidt. Connection between gram-schmidt, householder and plane rotations. The gram-schmidt algorithm. The inverse matrix. Generalized matrix inversion by gram-schmidt. Singular value decomposition. Advantages and disadvantages of reducing. Programming considerations.

Local Cohomology and Its Applications


Local Cohomology and Its Applications

Author: Gennady Lybeznik

language: en

Publisher: CRC Press

Release Date: 2001-10-18


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This volume collects presentations from the international workshop on local cohomology held in Guanajuato, Mexico, including expanded lecture notes of two minicourses on applications in equivariant topology and foundations of duality theory, and chapters on finiteness properties, D-modules, monomial ideals, combinatorial analysis, and related topics. Featuring selected papers from renowned experts around the world, Local Cohomology and Its Applications is a provocative reference for algebraists, topologists, and upper-level undergraduate and graduate students in these disciplines.

Hopf Algebras


Hopf Algebras

Author: Jeffrey Bergen

language: en

Publisher: CRC Press

Release Date: 2004-01-28


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This volume publishes key proceedings from the recent International Conference on Hopf Algebras held at DePaul University, Chicago, Illinois. With contributions from leading researchers in the field, this collection deals with current topics ranging from categories of infinitesimal Hopf modules and bimodules to the construction of a Hopf algebraic