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SIAMSC
2010
141views more  SIAMSC 2010»
13 years 9 months ago
Blendenpik: Supercharging LAPACK's Least-Squares Solver
Abstract. Several innovative random-sampling and random-mixing techniques for solving problems in linear algebra have been proposed in the last decade, but they have not yet made a...
Haim Avron, Petar Maymounkov, Sivan Toledo
MOC
1998
94views more  MOC 1998»
13 years 10 months ago
Analysis of third-order methods for secular equations
Third-order numerical methods are analyzed for secular equations. These equations arise in several matrix problems and numerical linear algebra applications. A closer look at an ex...
A. Melman
FOCM
2008
59views more  FOCM 2008»
13 years 11 months ago
Semidefinite Characterization and Computation of Zero-Dimensional Real Radical Ideals
For an ideal I R[x] given by a set of generators, a new semidefinite characterization of its real radical I(VR(I)) is presented, provided it is zero-dimensional (even if I is not...
Jean B. Lasserre, Monique Laurent, Philipp Rostals...
QNS
1996
14 years 7 days ago
Case studies on the development of ScaLAPACK and the NAG Numerical PVM Library
In this paper we look at the developmentof ScaLAPACK, a software library for dense and banded numerical linear algebra, and the NAG Numerical PVM Library, which includes software ...
Jack Dongarra, Sven Hammarling, Antoine Petitet
ISSAC
1995
Springer
125views Mathematics» more  ISSAC 1995»
14 years 2 months ago
Numeric-Symbolic Algorithms for Evaluating One-Dimensional Algebraic Sets
: We present e cient algorithms based on a combination of numeric and symbolic techniques for evaluating one-dimensional algebraic sets in a subset of the real domain. Given a desc...
Shankar Krishnan, Dinesh Manocha
ESCIENCE
2006
IEEE
14 years 2 months ago
Jylab: A System for Portable Scientific Computing over Distributed Platforms
Jylab is a portable and flexible scientific computing system favoring extensibility. It provides a user with a scripting language and a core set of libraries implementing numerica...
Giorgios Kollias, Efstratios Gallopoulos
ICCS
2004
Springer
14 years 4 months ago
Design of Interactive Environment for Numerically Intensive Parallel Linear Algebra Calculations
Problem Solving Environments have a well established position as an essential tool for computational science. We focus our attention in this article on how to provide parallel com...
Piotr Luszczek, Jack Dongarra