Matrices Associated with Moving Least-Squares Approximation and Corresponding Inequalities

Nenov, Svetoslav; Tsvetkov, Tsvetelin

doi:10.4236/apm.2015.514080

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Introduction2

The Weight Family W1

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Cited by 4 publications

(4 citation statements)

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“…The matrix −A 2 D −1 is symmetric and positive semi-definite (see [11]). Therefore, L(a) = a, a , a ∈ R m is a Lyapunov function for (15).…”

Section: The Weight Family Wmentioning

confidence: 99%

Some Comparison Results for Moving Least-Square Approximations

Nenov

Tsvetkov²

2016

Int. J. of Pure and Appl. Math.

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“…The matrix −A 2 D −1 is symmetric and positive semi-definite (see [11]). Therefore, L(a) = a, a , a ∈ R m is a Lyapunov function for (15).…”

Section: The Weight Family Wmentioning

confidence: 99%

Some Comparison Results for Moving Least-Square Approximations

Nenov

Tsvetkov²

2016

Int. J. of Pure and Appl. Math.

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“…In many applications D is a diagonal matrix, see for example the results in [1,2,4,5,6,7,11] for simple constructions of moving least squares approximations.…”

Section: Introductionmentioning

confidence: 99%

An Upper Estimate for the Largest Singular Value of a Special Matrix, Iii

Nenov¹

2017

Int. J. of Pure and Appl. Math.

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“…In many applications D is a diagonal matrix, see for example the results in [1,2,4,5,6,7,10] for simple constructions of moving least squares approximations.…”

Section: Introductionmentioning

confidence: 99%