AT-NET BULLETIN NO. 137, 26.2.2007
Contributions to: at-n...@math.uni-giessen.de
Current editor: Martin Buhmann
WWW home-page: http://www.uni-giessen.de/www-Numerische-Mathematik/at-
net
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Contents:
1) Conferences in 2007
2) Table of Contents: Journal of Approximation Theory
3) Table of Contents: ETNA
4) Table of Contents: Linear Algebra and Applications
5) A Question from the Theory of Integral Transforms
6) Summer School and Conference
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1) Conferences
2007, 4 - 8 March 12th International Conference on Approximation Theory,
San Antonio (Texas,USA)
http://www.math.vanderbilt.edu/~at07/
2007, 26 Apr - 1 May (Cancun/Mexico) Fourth International
Conference on
Multivariate Approximation: Theory and Applications
2007, 18 - 22 June Third International Conference On Computational
Harmonic Analysis, Fudan Univ., Shanghai (China)
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2) From: Thomas Hogan <ho...@math.ohio-state.edu>
Table of Contents: J. Approx. Theory, Volume 142, Number 2, October 2006
Online at www.sciencedirect.com/science/issue/6843-2006-998579997-634552
Ming-Jun Lai
Construction of multivariate compactly supported prewavelets in $L_2$
space and pre-Riesz bases in Sobolev spaces
83--115
W. R. Madych
An estimate for multivariate interpolation II
116--128
Jyoichi Kaneko
On an extremal problem of Selberg
129--137
K. Nagy
On the two-dimensional Marcinkiewicz means with respect to
Walsh-Kaczmarz system
138--165
Author index for Volume 142
166
Table of Contents: J. Approx. Theory, Volume 143, Number 1, November
2006
Online at www.sciencedirect.com/science/issue/6843-2006-998569998-636941
Martin Buhmann and Juan Manuel Pe\~{n}a
Preface
1
Jes\'{u}s Carnicer and Carmen God\'{e}s
Geometric characterization and generalized principal lattices
2--14
Len Bos, Marco Caliari, Stefano De Marchi, Marco Vianello, and Yuan Xu
Bivariate Lagrange interpolation at the Padua points: The generating
curve approach
15--25
Say Song Goh and Tim N. T. Goodman
Uncertainty principles in Banach spaces and signal recovery
26--35
Kirill A. Kopotun
On equivalence of moduli of smoothness of splines in $L_p$, $0<p<1$
36--43
Esmeralda Mainar and J. M. Pe\~{n}a
Evaluation algorithms for multivariate polynomials in
Bernstein-B\'{e}zier form
44--61
G. L\'{o}pez Lagomasino, F. Marcell\'{a}n Espa\~{n}ol, and
H. Pijeira Cabrera
Logarithmic asymptotics of contracted Sobolev extremal polynomials on
the real line
62--73
Marie-Laurence Mazure
On Chebyshevian spline subdivision
74--110
Anatoli Torokhti and Phil Howlett
Best approximation of the identity mapping: The case of variable
finite memory
111--123
Q. T. Le Gia, F. J. Narcowich, J. D. Ward and H. Wendland
Continuous and discrete least-squares approximation by radial basis
functions on spheres
124--133
Table of Contents: J. Approx. Theory, Volume 143, Number 2, December
2006
Online at www.sciencedirect.com/science/issue/6843-2006-998569997-636971
Feng Dai
An extrapolation theorem for nonlinear approximation and
its applications
135--149
Hugo J. Woerdeman
Interlacing properties of roots of certain biorthogonal polynomials
150--158
Andreas Hofinger
Nonlinear function approximation: Computing smooth solutions with an
adaptive greedy algorithm
159--175
Zebenzu\'{\i} Garc\'{\i}a
On the size of multivariate polynomial lemniscates and the convergence
of rational approximants
176--200
Semyon Rafalson
Some inequalities for algebraic polynomials with the Laguerre weight
201--218
Author index for Volume 143
219
Table of Contents: J. Approx. Theory, Volume 144, Number 1, January 2007
Online at www.sciencedirect.com/science/issue/6843-2007-998559998-638350
Ilia Krasikov
Inequalities for orthonormal Laguerre polynomials
1--26
Siegfried Graf, Harald Luschgy, and Gilles Pag\`{e}s
Optimal quantizers for Radon random vectors in a Banach space
27--53
Steven H. Izen
Refined estimates on the growth rate of Jacobi polynomials
54--66
Horst Alzer and Arcadii Z. Grinshpan
Inequalities for the gamma and $q$-gamma functions
67--83
Leonid Golinskii and Stefano Serra-Capizzano
The asymptotic properties of the spectrum of nonsymmetrically perturbed
Jacobi matrix sequences
84--102
Hans G. Feichtinger and Norbert Kaiblinger
Quasi-interpolation in the Fourier algebra
103--118
Maurice Hasson
The degree of approximation by polynomials on some disjoint intervals in
the complex plane
119--132
David Damanik and Daniel Lenz
Uniform Szeg\H{o} cocycles over strictly ergodic subshifts
133--138
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3) From: Lothar Reichel <rei...@math.kent.edu>
Table of Contents, Electronic Transactions on Numerical Analysis (ETNA),
vol. 23, 2006. ETNA is available at http://etna.math.kent.edu and at
several
mirror sites. ETNA is in the extended Science Citation Index and the
CompuMath Citation Index.
i-viii Table of contents and abstracts
1-4 David S. Watkins
A case where balancing is harmful
5-14 Alexander Malyshev and Miloud Sadkane
Condition numbers of the Krylov bases and spaces associated
with the
truncated QZ iteration
15-37 Antonija Duvnjak and Hermann J. Eberl
Time-discretization of a degenerate reaction-diffusion equation
arising in biofilm modeling
38-62 Serge Nicaise and Emmanuel Creus?
Isotropic and anisotropic a posteriori error estimation of
the mixed
finite element method for second order operators in
divergence form
63-75 Toshihiro Yamamoto
Toward the Sinc-Galerkin method for the Poisson problem in
one type
of curvilinear coordinate domain
76-87 L. Bergamaschi, R. Bru, A. Mart?nez, and M. Putti
Quasi-Newton preconditioners for the inexact Newton method
88-104 Michael H. Hohn
Solution of singular elliptic PDEs on a union of rectangles
using
sinc methods
105-128 Wayne Joubert and Jane Cullum
Scalable algebraic multigrid on 3500 processors
129-140 Mohamed El-Gamel
The Sinc-Galerkin method for solving singularly-perturbed
reaction-diffusion problem
141-157 David S. Watkins
On the reduction of a Hamiltonian matrix to Hamiltonian
Schur form
158-179 Olaf Schenk and Klaus Gartner
On fast factorization pivoting methods for sparse symmetric
indefinite systems
180-201 M. K. Kadalbajoo and K. K. Sharma
Parameter-uniform fitted mesh method for singularly
perturbed delay
differential equations with layer behavior
202-218 Kenshu Shimomukai and Hidesada Kanda
Numerical study of normal pressure distribution in entrance
flow
between parallel plates, I. Finite difference calculations
219-250 Kendall Atkinson and David Chien
A study of the fast solution of the occluded radiosity equation
251-262 Ahmad Reza Naghsh-Nilchi and Shahram Daroee
Iterative sinc-convolution method for solving radiosity
equation
in computer graphics
263-287 Oren E. Livne and Grady B. Wright
Fast multilevel evaluation of smooth radial basis function
expansions
288-303 Iliya A. Brayanov
Uniformly convergent difference scheme for singularly perturbed
problem of mixed type
304-319 Mario Gotz
On extremal problems related to inverse balayage
320-328 Toshihiro Yamamoto
Approximation of the Hilbert transform via use of Sinc
convolution
329-338 Yoshinori Miyazaki, Nobuyoshi Asai, Dongsheng Cai, and
Yasuhiko Ikebe
Numerical computation of the eigenvalues for the spheroidal
wave
equation with accurate error estimation by matrix method
In 2006 ETNA also is publishing special volumes on
"Saddle Point Problems: Numerical Solution and Applications" edited by
Michele Benzi, Richard B. Lehoucq, and Eric de Sturler (vol 22),
"Orthogonalnt Polynomials and Mathematical Physics" edited by
R. A'lvarez-Nodarse, J. Arvesu', and F. Marcella'n (vol. 24),
"Constructive Function Theory" edited by Wolfgang Dahmen, Jeff Geronimo,
Xin Li, Doron Lubinsky, Igor Pritsker, and Ian Sloan (vol. 25, in
progress)
Table of Contents, Electronic Transactions on Numerical Analysis (ETNA),
vol. 25, 2006. This is a special volume on "Constructive Function
Theory"
edited by W. Dahmen, J. Geronimo, X. Li, D. Lubinsky, I. Pritsker,
I. Sloan.
ETNA is available at http://etna.math.kent.edu and at several
mirror sites. ETNA is in the extended Science Citation Index and the
CompuMath Citation Index.
i-xii Table of contents and abstracts
xiii-xiv Preface
1-16 L. Bos, M. Caliari, S. De Marchi, and M. Vianello
Bivariate interpolation at Xu points: results, extensions and
applications
17-26 V. S. Chelyshkov
Alternative orthogonal polynomials and quadratures
27-40 D. Benko, S. B. Damelin, and P. D. Dragnev
On the support of the equilibrium measure for arcs of the
unit
circle and for real intervals
41-53 L. Baratchart, J. Leblond, and J.-P. Marmorat
Inverse source problem in a 3D ball from best meromorphic
approximation on 2D slices
54-66 L. Baratchart
A remark on uniqueness of best rational approximants of
degree 1
in L2 of the circle
67-100 W. Dahmen and M. Jurgens
Error controlled regularization by projection
101-114 M. Ganesh and H. N. Mhaskar
Quadrature-free quasi-interpolation on the sphere
115-120 K. A. Driver and S. J. Johnston
An integral representation of some hypergeometric functions
121-128 K. Balazs and T. Kilgore
Weighted approximation of derivatives on the half-line
129-137 W. Gautschi
The circle theorem and related theorems for Gauss-type
quadrature
rules
138-157 Y. Hur and A. Ron
New constructions of piecewise-constant wavelets
158-165 M. E. H. Ismail and X. Li
Orthogonal polynomials and Ramanujan's q-continued fractions
166-177 D. S. Lubinsky
Bernstein's weighted approximation on R still has problems
178-200 S. Khrushchev
On Euler's differential methods for continued fractions
201-205 A. Kroo'
On norms of factors of multivariate polynomials on convex
bodies
206-223 M. Le'na'rd
On weighted (0,2)-type interpolation
224-258 J. Maes and A. Bultheel
Stable multiresolution analysis on triangles for surface
compression
259-277 I. E. Pritsker
Distribution of primes and a weighted energy problem
278-283 M. Yattselev
A note on the sharpness of the Remez-type inequality for
homogeneous
polynomials on the sphere
284-301 Y. Xu
Analysis on the unit ball and on the simplex
302-308 P. Zhou
More examples on general order multivariate Pade'
approximants for
pseudo-multivariate functions
309-327 P. Leopardi
A partition of the unit sphere into regions of equal area and
small diameter
328-368 B. Simon
Fine structure of the zeros of orthogonal polynomials, I.
A tale of two pictures
369-392 A. Martinez-Finkelshtein
Szego polynomials: a view from the Riemann-Hilbert window
393-408 G. Putinar and M. Putinar
Remarks on restriction eigenfunctions in C^n
409-430 G. Mantica
Fourier-Bessel functions of singular continuous measures and
their many asymptotics
431-438 U. Itai
On the eigenstructure of the Bernstein kernel
439-445 B. Shekhtman
On one question of Ed Saff
446-453 A. Khatamov
On the exact estimates of the best spline approximations of
functions
454-466 J. M. Rappoport
The properties, inequalities and numerical approximation
of modified
Bessel functions
467-479 H. P. Mashele
On convergence of orthonormal expansions for exponential
weights
480-510 H. Stalh
From Taylor to quadratic Hermite-Pade'polynomials
511-525 L. Baratchart, A. Martinez-Finkelshtein, D. Jimenez, D. S.
Lubinsky,
H. N. Mhaskar, I. Pritsker, M. Putinar, N. Stylianopoulos,
V. Totik,
P. Varju, and Y. Xu
Open problems in constructive function theory
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4) From: Hans Schneider <ha...@math.wisc.edu>
* Linear Algebra and its Applications
Volume 421, Issue 1, Pages 1-172 (1 February 2007)
Special Issue devoted to the 12th ILAS Conference, 12th Conference
of the International Linear Algebra Society
Regina, Canada
26-29 June 2005
Edited by Rajendra Bhatia, Robert Guralnick, Steve Kirkland and
Henry Wolkowicz
http://www.sciencedirect.com/science/issue/
5653-2007-995789998-640207
Volume 421, Issues 2-3, Pages 173-440 (1 March 2007)
Special Issue in honor of Miroslav Fiedler
Edited by Peter Butkovic, Leslie Hogben, Reinhard Nabben, Zdenek
Strakos and Miroslav Tuma
http://www.sciencedirect.com/science/issue/
5653-2007-995789997-642171
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5) From: an...@odette.mth.uct.ac.za
Dear Colleagues
A question from theory of integral transforms
Imagine we have a transform of the complex-valued function f(z)
of the form:
F(p)=\int_C e^{-pz} f(z) dz,
where the integration is along a contour C on the complex
z-plane.
(1) How to invert the transform, i.e. how to find f(z) from
the known F(p)? I guess this should be done by integration
along some contour on the complex p-plane, but which contour?
(2) Is there anything like a convolution theorem for these
transforms?
I wonder if there are any books where these topics would be
discussed.
Thank you,
Anna Liu
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6) From: Henry Wolkowicz <hwol...@uwaterloo.ca>
ICCOPT-II Summer School
http://iccopt-mopta.mcmaster.ca/summerschool.htm
will be held Sat. and Sun. Aug. 11-12, 2007 at the start of
ICCOPT II/MOPTA 07 at McMaster University in Hamilton.
Two courses on the following topics will be given:
(i) Experimental Mathematics with Variational Applications
(Organisers: Jon Borwein, David Bailey, Russell Luke)
http://iccopt-mopta.mcmaster.ca/experimental-math.html
(ii) Grid-computing for optimization: modeling and solution
(Organisers: Michael Ferris, Jeff Linderoth, Stephen Wright)
http://iccopt-mopta.mcmaster.ca/abstract-grid-computing.html
This is Intended for advanced graduate students and researchers who wish
to be exposed to a wide spectrum of topics in continuous optimization.
All participants are strongly encouraged to register for the ICCOPT
II/MOPTA 07
conference, August 13-16, 2007 at McMaster University in Hamilton.
http://iccopt-mopta.mcmaster.ca/index.html
Waterloo C&O conference
---------------
Registration is now open for the
Combinatorics and Optimization 40th Anniversary Conference
Waterloo C&O@40
In celebration of the 40th anniversary of the department, and
the 50th anniversary of the university, the Department of
Combinatorics & Optimization at the University of Waterloo is
hosting a six day conference June 18-23, 2007. The conference
will focus on the six main research areas represented by the
department: algebraic combinatorics; combinatorial optimization;
continuous optimization; cryptography; graph theory; and quantum
computing. Presentations will be given by 54 leading experts.
For more details, to register, and to contribute to a poster
session, please see
http://www.math.uwaterloo.ca/CandO_Dept/Conference/40thConference.shtml
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