Diffusion du théorème de 1902

à consulter :
  1. arXiv:1307.3669, Juillet 2013 : Robert de Montessus de Ballore's 1902 theorem on algebraic continued fractions : genesis and circulation.
  2. hal-00521135, Octobre 2010 : Diffusion d'un théorème : l'exemple d'un théorème de Robert de Montessus de Ballore, de 1902 à nos jours.
  3. texte d'un exposé, SC 2011 Cagliari.

Notre travail ici est de lister tous les articles de mathématiques ou de physique, faisant référence à Robert de Montessus et à son résultat de 1902. Par référence nous entendons :
Il manque peut-être des articles dans la liste ci-dessous. N'hésitez pas à nous signaler tout oubli ou tout nouvel article.

Articles citant, faisant référence au théorème de 1902, ou utilisant le nom Montessus


Queralt2010

Rational Approximations in Quantum Chromodynamics
P. M. Queralt
arXiv      (2010)

Suetin2009

On the Existence of Nonlinear Pad\'e -Chebyshev Approximations for Analytic Functions
S.-P. Suetin
Mathematical Notes  86  264-275  (2009)

Lago2009

Fourier-Pad\'e approximants for Nikishin systems.
G. L. Lagomasino and J. M. Ceniceros
Constructive Approximation  30  53-69  (2009)

Gutk2011

From $QD$ to $LR$ and $QR$, or, how were the $QD$ and $LR$ algorithms discovered ?
M. H. Gutknecht and B. N. Parlett
I IMA J Numer Anal (2011) 31 (3): 741-754.   31  741-754  (2011)

Barat2009

Convergent Interpolation to Cauchy Integrals over Analytic Arcs
L. Baratchart and M. Yattselev
Found Comput Math   9    (2009)

Sidi2008

A de Montessus type convergence study for a vector-valued rational interpolation procedure.
A. Sidi
Israel Journal of mathematics   163    (2008)

Jaki2006

Walsh Equiconvergence of Complex Interpolating Polynomials
A. Jakimorski and A. S. A. and J. Szabados
      (2006)

Skorok2006

Calculation of the Branch Points of the Eigenfunctions Corresponding to Wave Spheroidal Functions.
S. L. Skorokhodov and D. V. Khristoforov
Mathematics and Mathematical Physics  46  1132-1146  (2006)

Pindor2006

Padé Approximants
M. Pindor
  327  59-69  (2006)

Buslaev2005

Poincar\'e Theorem for Difference Equations.
V. I. Buslaev and S. F. Buslaeva
Mathematical Notes (Translated from Matematicheskie Zametki ,vol. 78, no. 6, 2005 pp. 943-947)  78  877-882  (2005)

Sinou2004

Methods to Reduce Non-Linear Mechanical Systems for Instability Computation
J.-J. Sinou and F. Thouverez and L. Jézéquel
Arch. Comput. Meth. Engng.   11  257-344  (2004)

Adukov2004

On the Set of Uniform Convergence for the Last Intermediate Row of the Pad\'e Table.
V. M. Adukov
arXiv      (2004)

Boichu2002

Multivariate Padé-Bergman approximants
D. Boichu and V.Robin
Numer. Math.    223-238  (2002)

Putinar2002

On a diagonal Padé approximation in two complex variables
M. Putinar
Numer. Math.  93  131-152  (2002)

Robert2002

The vector epsilon algorithm, a residual approach
D. E. Roberts
Numerical Algorithms   29  209-207  (2002)

Lorent2001

Convergence versus correspondence for sequences of rational functions
L. Lorentzen and D. S. Lubinsky
Indag. Mathem., N.S.  12  213-219  (2001)

Garcia2000

On Rational Interpolation to Meromorphic Functions in Several Variables
Z. Garcia
Journal of Approximation Theory   105  211-237  (2000)

Daras2000

Pad\'e and Pad\'e-Type Approximation for $2\pi$-Periodic $L^{p}$ Functions.
N. J. Daras
Acta Applicandae Mathematicae   62    (2000)

Baker2000

Defects and the Convergence of Padé Approximants
G. A. Baker
Acta Applicandae Mathematicae   61    (2000)

Graves1997

Row Convergence Theorems for Vector-Valued Padé Approximants
P. Graves-Morris and J. V. Iseghem
Journal of Approximation Theory   90  153-173  (1997)

Cuyt1997

A de Montessus theorem for multivariate homogeneous Padé approximants
A. Cuyt and D. S. Lubinsky
Annals of numerical mathematics  4    (1997)

Cuyt1996

On the convergence of multivariate Padé approximants
A. Cuyt and D. S. Lubinsky
Bull. Belg. Math. Soc. - Simon Stevin Suppl.    51-61  (1996)

Liu1995

Generalizations of Montessus's theorem on the row convergence of rational interpolations
X. Liu
Methods and Applications of Analysis  2  442-465  (1995)

Graves1991

Divergence of vector valued rational interpolants to meromorphic functions
P. Graves-Morris and E. B. Saff
Rocky Mountain Journal of Mathematics  21  245-261  (1991)

Brez1991

History of continued fractions and Pad\'e approximants
C. Brezinski
      (1991)

Jones1990

Szegö polynomials associated with Wiener Levinson filters
W.-B. Jones and O. Njastad and E. B. Saff
Journal of Computational and Applied Mathematics  32  387-406  (1990)

Piedra1988

On simultaneous rational interpolants of type $(\alpha,\beta)
R. Piedra
Lecture Notes in Mathematics  1354  188-198.  (1988,)

Lutterodt1985

On convergence of $(\mu,\nu)$-sequences of unisolvent rational approximants to meromorphic functions in $\cit^{n}$
C.-H. Lutterodt
Internat. J. Math. and Math. Sci., Vol.  8  641-652  (1985)

Graves1984

A de Montessus theorem for vector valued rational interpolants.
P. Graves-Morris and E. B. Saff
Lecture Notes in Mathematics  1105  227-242  (1984)

Ellacott1984

Computing with the Faber transform.
S. W. Ellacott and E. B. Saff
Lecture Notes in Mathematics  1105    (1984)

Kovaceva1983

The roots of unity and the $m$-meromorphic extension of functions.
R. K. Kovaceva
Lecture Notes in Mathematics  1039    (1983)

Lubinsky1983

Convergence of linear and nonlinear Padé approximants from series of orthogonal polynomials.
D. S. Lubinsky and A. Sidi
Transactions of the American Mathematical Society  278  333-345  (1983)

Karlsson1981

Singularities of functions determined by the poles of Padé approximants
J. Karlsson and E. B. Saff
Lecture Notes in Mathematics  888    (1981)

Suetin1981

On Montessus de Ballore's theorem for rational approximants of orthogonal expansions
S.-P. Suetin
Mat. Sb.  114  451-464  (1981)

Edrei1977

Equidistribution of the arguments of the zeros od Padé numerators
A. Edrei
Lecture Notes in Mathematics  599    (1977)

Goncar1975

On the convergence of generalized Pad\'e approximants of meromorphic functions
A. A. Goncar
MATH USSR SB  27  503-514  (1975)

Chis1975-2

Relative scale covariance of N-variable approximants.
J. S. R. Chisholm and P. Graves-Morris
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences  344  465-470  (1975)

Chis1975

Generalizations of the theoreme of de Montessus to two-variable approximants.
J. S. R. Chisholm and P. Graves-Morris
Proc. R. Soc. Lond. A.  342    (1975)

Wynn1974

Some recents developpements in the theories of continued fractions and the Padé table
P. Wynn
Rocky mountain Journal of Mathematics  4  297-323  (1974)

Wynn1972

Upon a convergence result in the theory of Padé table.
P. Wynn
Transactions of the American Mathematical Society  165  239-249  (1972)

Saff1972

An extansion of Montessus de Ballore's theorem on the convergence of interpoling rational functions
E. B. Saff
Journal of approximation theory  6  63-67  (1972)

Gragg1972

The Padé table and its relation to certain algorithms of numerical analysis
W. B. Gragg
SIAM Review  14  1-62  (1972)

Saff1969

On the row convergence of the Walsh array for meromorphic functions
E. B. Saff
Transactions of the AMS  246    (1969)

Wynn1968

Upon the Padé Table derived from a Stieltjes series
P. Wynn
SIAM Journal on Numerical Analysis  5  805-834  (1968)

Walsh1967

On the convergence of sequences of rational functions
J. L. Walsh
SIAM Journal on Numerical Analysis  4  211-221  (1967)

Walsh1965

The convergence of sequences of rational functions of best approximation II
J. L. Walsh
Transactions of the American Mathematical Society  116  227-237.  (1965)

Walsh1964

The convergence of sequences of rational functions of best approximation
J. L. Walsh
Mathematische Annalen    252-264  (1964)

Mall1940

Beitrag zur Theorie der mehrdimensionalen Padéschen Tafel
J. Mall
[J] Math. Z.  46  337-349  (1940)

Scott1939

Continued Fractions
W. T. Scott and H. S. Wall
National Mathematics Magazine  13  305-322  (1939)

Walsh1935

Interpolation and approximation in the complex domain
J. L. Walsh
Amer. Math. Soc. Colloquium Publ.  XX    (1935)

Perr1929

Die Lehre von den Kettenbruchen
O. Perron
      (1929)

Wilson1928

Divergent continued fractions and polar singularities
R. Wilson
Proceedings L. M. S.  2  497-512  (1928)

Wilson1927

Divergent continued fractions and polar singularities
R. Wilson
Proceedings L. M. S.  2  159-168  (1927)

Nor1924

Vorlesungen uber Differenzenrechnung
N. Nörlund
      (1924)

Perr1913

Die Lehre von den Kettenbruchen
O. Perron
      (1913)

Watson1910

The solution of a certain transcendental equation.
G. N. Watson
[J] Lond. M. S. Proc.  2  162-177  (1910)

RMB1909

Les fractions continues algébriques
R. de Montessus de Ballore
Acta mathematica, 32  32  257-282  (1909)

Pade1907-2

Recherches sur les développements en fractions continues d'une certaine catégorie de fonctions
H. Padé
Annales scientifiques de l'ENS  3 ième série  341-400  (1907)

Pade1907-1

Sur la généralisation des formules de Sylvester relatives aux fonctions qui se présentent dans l'application du théorème de Sturm, et sur la convergence des réduites d'une fraction rationnelle
H. Padé
Annales scientifiques de l'ENS  3 ième série  519-534  (1907)

RMB1905-2

Sur les fractions continues algébriques
R. de Montessus de Ballore
Rendiconti del Circolo Matematico di Palermo.  XIX  185-257  (1905)

RMB1905

Sur les fractions continues algébriques
R. de Montessus de Ballore
      (1905)

VanVle1903

Selected topics in the theory of divergent series and of continued fractions.
E. B. Van-Vleck
for the american mathematical society by Macmillan company London      (1905)

RMB1902

Sur les fractions continues algébriques
R. de Montessus de Ballore
Bulletin de la Société Mathématiques de France  30  28-36  (1902.)

mise à jour le 24 Octobre 2013