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1,468
On large scale diagonalization techniques for the Anderson model of localization
 SIAM REVIEW
, 2005
"... We propose efficient preconditioning algorithms for an eigenvalue problem arising in quantum physics, namely the computation of a few interior eigenvalues and their associated eigenvectors for the largest sparse real and symmetric indefinite matrices of the Anderson model of localization. We compar ..."
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Cited by 14 (7 self)
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compare the Lanczos algorithm in the 1987 implementation by Cullum and Willoughby with the shiftandinvert techniques in the implicitly restarted Lanczos method and in the JacobiDavidson method. Our preconditioning approaches for the shiftandinvert symmetric indefinite linear system are based
Blind Beamforming for Non Gaussian Signals
 IEE ProceedingsF
, 1993
"... This paper considers an application of blind identification to beamforming. The key point is to use estimates of directional vectors rather than resorting to their hypothesized value. By using estimates of the directional vectors obtained via blind identification i.e. without knowing the arrray mani ..."
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Cited by 719 (31 self)
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range of parameters, even when the array is perfectly known to the informed beamformer. The key assumption blind identification relies on is the statistical independence of the sources, which we exploit using fourthorder cumulants. A computationally efficient technique is presented for the blind
Jacobi Angles For Simultaneous Diagonalization.
 SIAM J. Mat. Anal. Appl
, 1996
"... . Simultaneous diagonalization of several matrices can be implemented by a Jacobilike technique. This note gives the required Jacobi angles in close form. Key words. Simultaneous diagonalization, Jacobi iterations, eigenvalues, eigenvectors, structured eigenvalue problem. AMS subject classificati ..."
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Cited by 192 (3 self)
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. Simultaneous diagonalization of several matrices can be implemented by a Jacobilike technique. This note gives the required Jacobi angles in close form. Key words. Simultaneous diagonalization, Jacobi iterations, eigenvalues, eigenvectors, structured eigenvalue problem. AMS subject
Diagonal technique of cross country skiing on 50km classical race in FIS Nordic World Ski Championships 2007
"... KeyWords: kinematics, skiing speed, gliding length, and kicking This study investigated kinematic changes in the skiing motion of the diagonal stride technique during a worldclass 50km classical crosscountry skiing competition. Data were collected from a men’s 50 km classical mass start race duri ..."
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KeyWords: kinematics, skiing speed, gliding length, and kicking This study investigated kinematic changes in the skiing motion of the diagonal stride technique during a worldclass 50km classical crosscountry skiing competition. Data were collected from a men’s 50 km classical mass start race
A Blind Source Separation Technique Using Second Order Statistics
, 1997
"... Separation of sources consists in recovering a set of signals of which only instantaneous linear mixtures are observed. In many situations, no a priori information on the mixing matrix is available: the linear mixture should be `blindly' processed. This typically occurs in narrowband array pro ..."
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Cited by 336 (9 self)
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processing applications when the array manifold is unknown or distorted. This paper introduces a new source separation technique exploiting the time coherence of the source signals. In contrast to other previously reported techniques, the proposed approach relies only on stationary secondorder statistics
D1AG0HALIZATI0M TECHNIQUES TO IMPROVE LINEAR SYSTEM SIMULATION EFFICIENCY
"... Diagonalization techniques to improve linear system simulation efficiency ..."
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Diagonalization techniques to improve linear system simulation efficiency
MODAL FIELD THEORY AND QUASISPARSE EIGENVECTOR DIAGONALIZATION
, 2000
"... We review recent developments in nonperturbative field theory using modal field methods. We discuss Monte Carlo results as well as a new diagonalization technique known as the quasisparse eigenvector method. 1 ..."
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We review recent developments in nonperturbative field theory using modal field methods. We discuss Monte Carlo results as well as a new diagonalization technique known as the quasisparse eigenvector method. 1
Joint Diagonalization via Subspace Fitting Techniques
 In Proc. ICASSP
, 2001
"... INTRODUCTION Suppose that we are given K complex Hermitian matrices Y k of the form where the k are diagonal and real, and E k represents additive noise. The joint diagonalization problem we consider is, given the Y k , to estimate the common factor A. We assume that all Y k are square d d matr ..."
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Cited by 33 (2 self)
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problems with data models X AS N, where X is the observation matrix, A is the mixing matrix, the rows of S contain the source signals, and N is additive noise. Depending on the assumptions on A and/or S, the following types of algebraic source separation techniques have been proposed:  Diagonalization
The Mechanization of the Diagonalization Proof Strategy
 FACHBEREICH INFORMATIK, UNIVERSITAT DES SAARLANDES, IM STADTWALD
, 1996
"... We present an empirical study of mathematical proofs by diagonalization, the aim is their mechanization based on proof planning techniques. We show that these proofs can be constructed according to a strategy that (i) finds an indexing relation, (ii) constructs a diagonal element, and (iii) makes th ..."
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Cited by 2 (1 self)
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We present an empirical study of mathematical proofs by diagonalization, the aim is their mechanization based on proof planning techniques. We show that these proofs can be constructed according to a strategy that (i) finds an indexing relation, (ii) constructs a diagonal element, and (iii) makes
Adapting the Diagonalization Method by Reformulations
, 1995
"... Extending the planbased paradigm for automated theorem proving, we developed in previous work a declarative approach towards representing methods in a proof planning framework to support their mechanical modification. This paper presents a detailed study of a class of particular methods, embodying ..."
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Cited by 4 (1 self)
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, embodying variations of a mathematical technique called diagonalization. The purpose of this paper is mainly twofold. First we demonstrate that typical mathematical methods can be represented in our framework in a natural way. Second we illustrate our philosophy of proof planning: besides planning with a
Results 1  10
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1,468