Search Results - "Carnicer, J.M."
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1
Greville abscissae of totally positive bases
Published in Computer aided geometric design (01-11-2016)“…For a given totally positive space of continuous functions, we analyze the construction of totally positive bases of the space of antiderivatives. If the…”
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2
Interpolation mixing hyperbolic functions and polynomials
Published in The Rocky Mountain journal of mathematics (01-01-2018)Get full text
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3
Progressive iteration approximation and the geometric algorithm
Published in Computer aided design (01-02-2012)“…Two recent tools for constructing interpolating curves and surfaces are the progressive iteration approximation (PIA) and the geometric algorithm. This…”
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Interpolation on cycloidal spaces
Published in Journal of approximation theory (01-11-2014)“…Hermite interpolation problems on cycloidal spaces are analyzed. Newton and Aitken–Neville formulae are obtained. Numerical examples are included…”
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5
On the progressive iteration approximation property and alternative iterations
Published in Computer aided geometric design (01-12-2011)“…This note revisits the progressive iteration approximation property and some recent modifications from the point of view of iterative methods for solving…”
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6
Richardson method and totally nonnegative linear systems
Published in Linear algebra and its applications (30-12-2010)“…We show that modified Richardson method converges for any nonsingular totally nonnegative stochastic matrix for any choice of the parameter between 0 and 2. We…”
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7
Configurations of nodes with defects greater than three
Published in Journal of computational and applied mathematics (01-02-2010)“…The Geometric characterization identifies the sets of nodes such that the Lagrange polynomials are products of linear factors. In order to classify sets…”
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Journal Article Conference Proceeding -
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Cubic pencils of lines and bivariate interpolation
Published in Journal of computational and applied mathematics (01-10-2008)Get full text
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9
Remote HW-SW reconfigurable Wireless Sensor nodes
Published in 2008 34th Annual Conference of IEEE Industrial Electronics (01-11-2008)“…Reconfigurable HW, like FPGAs, can improve the processing systems performance as it has been demonstrated by several research groups. Usually, the inclusion of…”
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Conference Proceeding -
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Convexity preserving scattered data interpolation using Powell–Sabin elements
Published in Computer aided geometric design (01-10-2009)“…The problem of strict convexity preserving interpolation by a piecewise quadratic smooth function is solved. A constructive procedure is provided…”
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11
Critical length for design purposes and extended Chebyshev spaces
Published in Constructive approximation (01-11-2003)Get full text
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12
Interpolation lattices in several variables
Published in Numerische Mathematik (01-02-2006)“…Principal lattices are classical simplicial configurations of nodes suitable for multivariate polynomial interpolation in n dimensions. A principal lattice can…”
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13
Local Decomposition of Refinable Spaces and Wavelets
Published in Applied and computational harmonic analysis (01-04-1996)“…A convenient setting for studyingmultiscale techniquesin various areas of applications is usually based on a sequence of nested closed subspaces of some…”
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14
Representing circles with five control points
Published in Computer aided geometric design (2003)“…We show that five is the minimal dimension of a space required to draw a complete circle with a unique control polygon. We identify all five-dimensional spaces…”
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15
Bivariate Hermite–Birkhoff polynomial interpolation with asymptotic conditions
Published in Journal of computational and applied mathematics (01-07-2000)“…Some asymptotic conditions along prescribed directions are added to the usual interpolation data in bivariate problems. These asymptotic conditions are written…”
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16
Asymptotic Conditions for Degree Diminution Along Prescribed Lines
Published in Numerical algorithms (01-08-2003)“…One of the problems in bivariate polynomial interpolation is the choice of a space of polynomials suitable for interpolating a given set of data. Depending on…”
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17
On Zero-Preserving Linear Transformations
Published in Journal of mathematical analysis and applications (01-02-2002)“…For an arbitrary subset I of R and for a function f defined on I, the number of zeros of f on I will be denoted byZI(f).In this paper we attempt to…”
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18
Strictly Totally Positive Systems
Published in Journal of approximation theory (01-03-1998)“…We combine methods of linear algebra and analysis to obtain new results on splicing, domain extension, and integral representation of Tchebycheff and weak…”
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19
Lagrange interpolation on conics and cubics
Published in Computer aided geometric design (01-05-2002)“…A bivariate polynomial interpolation problem for points lying on an algebraic curve is introduced. The geometric characterization introduced by Chung and Yao,…”
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20
Linear conditions for positive determinants
Published in Linear algebra and its applications (01-05-1999)“…Weakest linear conditions on the rows of a square matrix of arbitrary dimension to ensure that its determinant is positive are described and analyzed. In…”
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