Extrapolation and acceleration
C. Brezinski, M. Redivo-Zaglia
Extrapolation Methods. Theory and Practice
North-Holland, Amsterdam, 1991.
ISBN-10:0444888144; ISBN-13:978-0444888143;
eBook ISBN:9780080506227
C. Brezinski, M. Redivo-Zaglia
Extrapolation and Rational Approximation. The Works of the Main Contributors
Springer Nature, Cham, Switzerland, 2020.
doi:10.1007/978-3-030-58418-4
J.P. Delahaye
Sequence Transformations
Springer-Verlag, Berlin, 1988.
doi:10.1007/978-3-642-61347-0
G.I. Marchuk, V.V. Shaidurov
Difference Methods and Their Extrapolations
Springer-Verlag, New York, 1983.
doi:10.1007/978-1-4613-8224-9
G. Meurant ed.
Extrapolation and Fixed Points in Memoriam Peter Wynn (1931-2017)
Numer. Algorithms, Volume 80, Issue 1.
link.springer.com/journal/11075/volumes-and-issues/80-1
A. Sidi
Practical Extrapolation Methods. Theory and Applications
Cambridge University Press, Cambridge, 2003.
doi:10.1017/CBO9780511546815
A. Sidi
Vector Extrapolation Methods with Applications
SIAM, Philadelphia, 2017.
doi:10.1137/1.9781611974966
E.J. Weniger
Nonlinear sequence transformations for the acceleration of convergence and the summation of divergent series
Comput. Phys. Rep., 10 (1989) 189-371.
doi:10.1016/0167-7977(89)90011-7
J. Wimp
Sequence Transformations and their Applications
Mathematics in Science and Engineering, vol. 154, Academic Press, New York, 1981.
ISBN-10:0127579400; ISBN-13:978-0127579405; eBook ISBN: 9780080956626
Padé approximation
G.A. Baker Jr.
Essentials of Padé Approximants
Academic Press, New York, 1975.
ISBN-10:0124333052; ISBN-13:978-0124333055; eBook ISBN: 9780323156158
G.A. Baker Jr., P.R. Graves-Morris
Padé Approximants
2nd Edition, Cambridge University Press, Cambridge, 1996.
doi:10.1017/CBO9780511530074
C. Brezinski, J. van Iseghem
Padé approximations
in Handbook of Numerical Analysis, vol. III, P.G. Ciarlet and J.L. Lions eds., North-Holland, Amsterdam, 1994, pp.47-222.
doi:10.1007/978-1-4613-0261-2_4
A. Bultheel
Laurent Series and their Padé Approximations
Birkhäuser, Basel, 1987.
doi:10.1007/978-3-0348-9306-0
C. Brezinski
Padé-Type Approximation and General Orthogonal Polynomials
ISNM, vol. 50, Birkhäuser--Verlag, Basel, 1980.
doi:10.1007/978-3-0348-6558-6
Continued fractions
C. Brezinski
History of Continued Fractions and Padé Approximants
Springer-Verlag, Berlin, 1991.
doi:10.1007/978-3-642-58169-4
A.A.M. Cuyt, V. Petersen, B.M. Verdonk, H. Waadeland, W.B. Jones
Handbook of Continued Fractions for Special Functions
Springer, Heidelberg, 2008.
doi:10.1007/978-1-4020-6949-9
W.B. Jones, W.J. Thron
Continued Fractions. Analytic Theory and Applications
Addison-Wesley, Reading, 1980.
doi:10.1017/CBO9780511759550
W.B. Jones, W.J. Thron
Continued fractions in numerical analysis
Appl. Numer. Math., 4 (1988) 143-230.
doi:10.1016/0168-9274(83)90002-8
L. Lorentzen, H. Waadeland
Continued Fractions with Applications
North-Holland, Amsterdam, 1992.
ISBN-10:0444892656; ISBN-13:978-0444892652; eBook ISBN: 9780080934303
Orthogonal polynomials
A. Bultheel, M. van Barel
Linear Algebra, Rational Approximation and Orthogonal Polynomials
North-Holland, Amsterdam, 1997.
ISBN-10:0444828729; ISBN-13:978-0444828729; eBook ISBN: 9780080535524.
T.S. Chihara
An Introduction to Orthogonal Polynomials
Gordon and Breach, New York, 1978. Reprint ed., Dover , Mineola, New York, 2011.
ISBN-10:0486479293; ISBN-13:978-0486479293.
W. Gautschi
Orthogonal Polynomials: Computation and Approximation
Oxford University Press, Oxford, 2004.
doi:10.1093/oso/9780198506720.001.0001
G. Szegö
Orthogonal Polynomials
Colloquium Publications, vol. XXIII, American Mathematical Society, Providence, Rhode Island, USA, 1939.
doi:10.1090/coll/023
Summability
J. Boos
Classical and Modern Methods in Summability
Oxford University Press, Oxford, 2000.
ISBN-10:019850165X; ISBN-13:978-0198501657
É. Borel
Leçons sur les Séries Divergentes
Gauthier-Villars, Paris, 1901; Second ed. with Georges Bouligand, 1928.
https://archive.org/details/leonssurles00bore/
A. Peyerimhoff
Lectures on Summability
Lecture Notes in Mathematics, vol. 107, Springer-Verlag, Berlin, 1969.
doi:10.1007/BFb0060951
B. Shawyer, B. Watson
Borel's Methods of Summability. Theory and Applications
Clarendon Press, Oxford, 1994.
ISBN-10:0198535856; ISBN-13:978-0198535850
