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221
Componentwise Distance to Singularity
"... Abstract: A perturbation matrix A = A is considered, where A 2 IR n;n and 0 2 IR n;n. The matrix A is singular i A contains a real singular matrix. A problem is to decide if A is singular or nonsingular, a NPhard problem. The decision can be made by the computation of the componentwise distance to ..."
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Abstract: A perturbation matrix A = A is considered, where A 2 IR n;n and 0 2 IR n;n. The matrix A is singular i A contains a real singular matrix. A problem is to decide if A is singular or nonsingular, a NPhard problem. The decision can be made by the computation of the componentwise distance
Mathematik Componentwise perturbation analyses
, 1999
"... Summary. This paper gives componentwise perturbation analyses for Q and R in the QR factorization A = QR, QTQ = I, R upper triangular, for a given real m × n matrix A of rank n. Suchspecific analyses are important for example when the columns of A are badly scaled. First order perturbation bounds ar ..."
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Summary. This paper gives componentwise perturbation analyses for Q and R in the QR factorization A = QR, QTQ = I, R upper triangular, for a given real m × n matrix A of rank n. Suchspecific analyses are important for example when the columns of A are badly scaled. First order perturbation bounds
On the Componentwise Convergence Rate
"... In this paper we investigate the convergence rate of a sequence of vectors provided that the convergence rates of the components are known. The result of this investigation is then used to study the mstep convergence rate of sequences. Key Words. convergence rate  Qfactor  multistep convergence ..."
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In this paper we investigate the convergence rate of a sequence of vectors provided that the convergence rates of the components are known. The result of this investigation is then used to study the mstep convergence rate of sequences. Key Words. convergence rate  Qfactor  multi
Componentwise energy amplification in channel flows
, 2004
"... We study the linearized Navier–Stokes (LNS) equations in channel flows from an input–output point of view by analysing their spatiotemporal frequency responses. Spatially distributed and temporally varying body force fields are considered as inputs, and components of the resulting velocity fields a ..."
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We study the linearized Navier–Stokes (LNS) equations in channel flows from an input–output point of view by analysing their spatiotemporal frequency responses. Spatially distributed and temporally varying body force fields are considered as inputs, and components of the resulting velocity fields
COMPONENTWISE INJECTIVE MODELS OF FUNCTORS TO DGAs BY
"... The aim of this paper is to present a starting point for proving existence of injective minimal models (cf. [8]) for some systems of complete differential graded algebras. Sullivan [7] introduced the rational de Rham theory for connected simplicial complexes and applied it to show that the de Rham ..."
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algebra A∗X of differential forms (over the field of rationals Q) on a simply connected complex X of finite type determines its rational homotopy type. The central results of Sullivan’s theory have been generalized by Triantafillou [8] to equivariant context but under the assumption that X is a
Componentwise Controllers for StructurePreserving Shape Manipulation
"... Recent shape editing techniques, especially for manmade models, have gradually shifted focus from maintaining local, lowlevel geometric features to preserving structural, highlevel characteristics like symmetry and parallelism. Such new editing goals typically require a preprocessing shape analy ..."
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Cited by 19 (9 self)
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analysis step to enable subsequent shape editing. Observing that most editing of shapes involves manipulating their constituent components, we introduce componentwise controllers that are adapted to the component characteristics inferred from shape analysis. The controllers capture the natural degrees
COMPONENTWISE LINEAR MODULES OVER A KOSZUL ALGEBRA
"... Abstract. In this paper we devote to generalizing some results of componentwise linear modules over a polynomial ring to the ones over a Koszul algebra. Among other things, we show that the ilinear strand of the minimal free resolution of a componentwise linear module is the minimal free resolution ..."
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Cited by 1 (0 self)
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Abstract. In this paper we devote to generalizing some results of componentwise linear modules over a polynomial ring to the ones over a Koszul algebra. Among other things, we show that the ilinear strand of the minimal free resolution of a componentwise linear module is the minimal free
Componentwise Bounded Controllers for Robust Exponential Convergence
 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
, 1994
"... This paper presents controllers for a class of nonlinear uncertain systems when each control input is subject to an upper bound on its magnitude or norm. The proposed controllers ensure that all closed loop state trajectories which originate in a bounded region exponentially converge to a desired ne ..."
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Cited by 8 (2 self)
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neighborhood of the origin with a desired rate of convergence. The results are illustrated by applying them to the stabilization of a spacecraft subject to bounded control and disturbance torques.
mboost Componentwise Boosting for Generalised Regression Models 2
"... • Boosting is a simple but versatile iterative stepwise gradient descent algorithm. • Versatility: Estimation problems are described in terms of a loss function ρ (e.g. the negative loglikelihood). • Simplicity: Estimation reduces to iterative fitting of baselearners to residuals (e.g. regression ..."
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trees). • Componentwise boosting yields – a structured model fit (interpretable results), – model choice and variable selection.
COMPONENTWISE POLYNOMIAL SOLUTIONS AND DISTRIBUTION SOLUTIONS OF REFINEMENT EQUATIONS
"... Abstract. In this paper we present an example of a refinement equation such that up to a multiplicative constant it has a unique compactly supported distribution solution while it can simultaneously have a compactly supported componentwise constant function solution that is not locally integrable. T ..."
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equation with the dilation factor 2 must coincide, after a proper normalization, with the unique compactly supported distribution solution to the same refinement equation. This is a direct consequence of a general result stating that any compactly supported componentwise polynomial refinable function
Results 1  10
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221