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81
ALGEBRAIC MULTIGRID FOR MARKOV CHAINS
 SIAM JOURNAL ON SCIENTIFIC COMPUTING
, 2009
"... An algebraic multigrid (AMG) method is presented for the calculation of the stationary probability vector of an irreducible Markov chain. The method is based on standard AMG for nonsingular linear systems, but in a multiplicative, adaptive setting. A modified AMG interpolation formula is proposed t ..."
Abstract

Cited by 9 (6 self)
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An algebraic multigrid (AMG) method is presented for the calculation of the stationary probability vector of an irreducible Markov chain. The method is based on standard AMG for nonsingular linear systems, but in a multiplicative, adaptive setting. A modified AMG interpolation formula is proposed
Coil sensitivity encoding for fast MRI. In:
 Proceedings of the ISMRM 6th Annual Meeting,
, 1998
"... New theoretical and practical concepts are presented for considerably enhancing the performance of magnetic resonance imaging (MRI) by means of arrays of multiple receiver coils. Sensitivity encoding (SENSE) is based on the fact that receiver sensitivity generally has an encoding effect complementa ..."
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Cited by 193 (3 self)
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reconstruction from multiple receiver data. Using the framework of linear algebra, two different reconstruction strategies have been derived. In their general forms the resulting formulae hold for arbitrary sampling patterns in kspace. A detailed discussion is dedicated to the most practical case, namely
c ○ 2010 Society for Industrial and Applied Mathematics ALGEBRAIC MULTIGRID FOR MARKOV CHAINS ∗
"... Abstract. An algebraic multigrid (AMG) method is presented for the calculation of the stationary probability vector of an irreducible Markov chain. The method is based on standard AMG for nonsingular linear systems, but in a multiplicative, adaptive setting. A modified AMG interpolation formula is p ..."
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Abstract. An algebraic multigrid (AMG) method is presented for the calculation of the stationary probability vector of an irreducible Markov chain. The method is based on standard AMG for nonsingular linear systems, but in a multiplicative, adaptive setting. A modified AMG interpolation formula
A SELFLEARNING ALGEBRAIC MULTIGRID METHOD FOR EXTREMAL SINGULAR TRIPLETS AND EIGENPAIRS
"... Abstract. A selflearning algebraic multigrid method for dominant and minimal singular triplets and eigenpairs is described. The method consists of two multilevel phases. In the first, multiplicative phase (setup phase), tentative singular triplets are calculated along with a multigrid hierarchy of ..."
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Abstract. A selflearning algebraic multigrid method for dominant and minimal singular triplets and eigenpairs is described. The method consists of two multilevel phases. In the first, multiplicative phase (setup phase), tentative singular triplets are calculated along with a multigrid hierarchy
Linear Operators on Matrix Algebras that Preserve the Numerical Range, Numerical Radius or the States
"... Every norm y on C induces two norm numerical ranges on the algebra M of all n x n complex matrices, the spatial numerical range W(A)={x*Ay: x, yGC , ,Z)(x)=y(y)=x*y= l}, where yD is the norm dual to y, and the algebra numerical range V(A) = {f(A): f E $), where $ is the set of states on the norm ..."
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Cited by 1 (0 self)
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on the normed algebra M under the operator norm induced by y. For a symmetric norm y, we identify all linear maps on M that preserve either one of the two norm numerical ranges or the set of states or vector states. We also identify the numerical radius isometries, i.e., linear maps that preserve the (one
ALGEBRAIC ALGORITHMS1
, 2012
"... This is a preliminary version of a Chapter on Algebraic Algorithms in the up ..."
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This is a preliminary version of a Chapter on Algebraic Algorithms in the up
ZEROPOLE INTERPOLATION FOR MATRIX MEROMORPHIC FUNCTIONS ON A COMPACT RIEMANN SURFACE AND A Matrix Fay Trisecant Identity
, 1997
"... This paper presents a new approach to constructing a meromorphic bundle map between flat vector bundles over a compact Riemann surface having a prescribed Weil divisor (i.e. having prescribed zeros and poles with directional as well as multiplicity information included in the vector case). This new ..."
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Cited by 13 (2 self)
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This paper presents a new approach to constructing a meromorphic bundle map between flat vector bundles over a compact Riemann surface having a prescribed Weil divisor (i.e. having prescribed zeros and poles with directional as well as multiplicity information included in the vector case
UINVARIANT SAMPLING 1 UInvariant Sampling: Extrapolation and Causal Interpolation from Generalized Samples
"... Abstract—Causal processing of a signal’s samples is crucial in online applications such as audio rate conversion, compression, tracking and more. This paper addresses the problems of predicting future samples and causally interpolating deterministic signals. We treat a rich variety of sampling me ..."
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Abstract—Causal processing of a signal’s samples is crucial in online applications such as audio rate conversion, compression, tracking and more. This paper addresses the problems of predicting future samples and causally interpolating deterministic signals. We treat a rich variety of sampling
Results 1  10
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81