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Krylov space methods on statespace control models
 Circuits, Systems, and Signal Processing
, 1994
"... We give an overview of various Lanczos/Krylov space methods and how they are being used for solving certain problems in Control Systems Theory based on statespace models. The matrix methods used are based on Krylov sequences and are closely related to modern iterative methods for standard matrix pr ..."
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Cited by 51 (5 self)
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We give an overview of various Lanczos/Krylov space methods and how they are being used for solving certain problems in Control Systems Theory based on statespace models. The matrix methods used are based on Krylov sequences and are closely related to modern iterative methods for standard matrix
On the Implementation of Some Residual Minimizing Krylov Space Methods
"... . Several variants of the GMRES method for solving linear nonsingular systems of algebraic equations are described. These variants differ in building up different sets of orthonormalized vectors used for the construction of the approximate solution. A new A T Avariant of GMRES is proposed and the ..."
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the broad variety of the Krylov space methods (surveys can be found, e.g., in [3], [7]...
Variants Of The Residual Minimizing Krylov Space Methods
, 1995
"... Several variants of the GMRES method for solving systems of linear algebraic equations are described. These variants differ in building up different sets of orthonormalized vectors used for the construction of the approximate solution. A new A T A variant of GMRES is proposed and optimal implemen ..."
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Cited by 9 (5 self)
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Several variants of the GMRES method for solving systems of linear algebraic equations are described. These variants differ in building up different sets of orthonormalized vectors used for the construction of the approximate solution. A new A T A variant of GMRES is proposed and optimal
Fast computation of orthonormal basis for RBF spaces through Krylov space methods
, 2015
"... Abstract. In the last years, in the setting of Radial Basis Function (RBF), the study of approximation algorithms has particularly focused on the construction of (stable) bases for the associated Hilbert spaces. One of the way of describing such spaces and their properties is the study of a particul ..."
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Cited by 2 (1 self)
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. Although effective, this basis is computationally expensive to compute. In this paper we discuss a method to improve and compute in a fast way the basis using methods related to Krylov subspaces. After reviewing the connections between the two bases, we concentrate on the properties of the new one
A Brief Introduction to Krylov Space Methods for Solving Linear Systems
"... With respect to the “influence on the development and practice of science ..."
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Cited by 4 (0 self)
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With respect to the “influence on the development and practice of science
Fast Identification of Impulse Response Modes via Krylov Space Methods
"... Consider an underlying signal which is a sum of r exponentials plus noise. We present a novel combination of fast techniques which enables us to determine all the underlying modes in only O(r 2 ) operations, while filtering out most of the noise. Almost all previously known methods applied to nois ..."
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Consider an underlying signal which is a sum of r exponentials plus noise. We present a novel combination of fast techniques which enables us to determine all the underlying modes in only O(r 2 ) operations, while filtering out most of the noise. Almost all previously known methods applied
BLOCK KRYLOV SPACE METHODS FOR LINEAR SYSTEMS WITH Multiple Righthand Sides: An Introduction
, 2006
"... In a number of applications in scientific computing and engineering one has to solve huge sparse linear systems of equations with several righthand sides that are given at once. Block Krylov space solvers are iterative methods that are especially designed for such problems and have ..."
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Cited by 28 (0 self)
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In a number of applications in scientific computing and engineering one has to solve huge sparse linear systems of equations with several righthand sides that are given at once. Block Krylov space solvers are iterative methods that are especially designed for such problems and have
Actions as spacetime shapes
 IN ICCV
, 2005
"... Human action in video sequences can be seen as silhouettes of a moving torso and protruding limbs undergoing articulated motion. We regard human actions as threedimensional shapes induced by the silhouettes in the spacetime volume. We adopt a recent approach [14] for analyzing 2D shapes and genera ..."
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Cited by 651 (4 self)
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and generalize it to deal with volumetric spacetime action shapes. Our method utilizes properties of the solution to the Poisson equation to extract spacetime features such as local spacetime saliency, action dynamics, shape structure and orientation. We show that these features are useful for action
Mtree: An Efficient Access Method for Similarity Search in Metric Spaces
, 1997
"... A new access meth d, called Mtree, is proposed to organize and search large data sets from a generic "metric space", i.e. whE4 object proximity is only defined by a distance function satisfyingth positivity, symmetry, and triangle inequality postulates. We detail algorith[ for insertion o ..."
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Cited by 663 (38 self)
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A new access meth d, called Mtree, is proposed to organize and search large data sets from a generic "metric space", i.e. whE4 object proximity is only defined by a distance function satisfyingth positivity, symmetry, and triangle inequality postulates. We detail algorith[ for insertion
Results 1  10
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76,770