Pade and Rational Approximation. Theory and Applications

✍ Scribed by E.B. Safe (Eds.)

• Publisher: Academic Press
• Year: 1977
• Tongue: English
• Leaves: 470
• Category: Library

✦ Table of Contents

Content:
Front Matter, Page iii
Copyright, Page iv
List of Contributors and Participants, Pages ix-xii
Preface, Page xiii
PADÉ APPROXIMANTS AND ORTHOGONAL POLYNOMIALS, Pages 3-14, C. Brezinski
CONVERGENCE ALONG STEPLINES IN A GENERALIZED PADÉ TABLE, Pages 15-22, M.G. de Bruin
N-VARIABLE RATIONAL APPROXIMANTS, Pages 23-42, J.S.R. Chisholm
ASYMPTOTIC BEHAVIOR OF THE ZEROS OF SEQUENCES OF PADÉ POLYNOMIALS, Pages 43-50, Albert Edrei
CONFIRMING THE ACCURACY OF PADÉ TABLE APPROXIMANTS, Pages 51-60, Carl H. FitzGerald
LAURENT, FOURIER, AND CHEBYSHEV-PADÉ TABLES, Pages 61-72, William B. Gragg
GENERALISATIONS OF THE THEOREM OF DE MONTESSUS USING CANTERBURY APPROXIMANTS, Pages 73-82, P.R. Graves-Morris
RATIONAL APPROXIMATION BY AN INTERPOLATION PROCEDURE IN SEVERAL VARIABLES, Pages 83-100, J. Karlsson, H. Wallin
THE CONVERGENCE OF PADÉ APPROXIMANTS TO FUNCTIONS WITH BRANCH POINTS, Pages 101-109, J. Nuttall
PADÉ APPROXIMANTS AND INDEFINITE INNER PRODUCT SPACES, Pages 111-119, H. van Rossum
THE TRANSFORMATION OF SERIES BY THE USE OF PADÉ QUOTIENTS AND MORE GENERAL APPROXIMANTS, Pages 121-144, P. Wynn
A RELATIONSHIP BETWEEN LIE THEORY AND CONTINUED FRACTION EXPANSIONS FOR SPECIAL FUNCTIONS, Pages 147-155, C.P. Boyer, W. Miller Jr.
NOTE ON A THEOREM OF SAFF AND VARGA, Pages 157-161, P. Henrici
MULTIPLE-POINT PADÉ TABLES, Pages 163-171, William B. Jones
APPLICATION OF STIELTJES FRACTIONS TO BIRTH-DEATH PROCESSES, Pages 173-179, William B. Jones, Arne Magnus
ON GEOMETRIC CHARACTERIZATIONS OF AN INDETERMINATE STIELTJES MOMENT SEQUENCE, Pages 181-188, E.P. Merkes, Marion Wetzel
RATIONAL APPROXIMATION TO THE EXPONENTIAL FUNCTION, Pages 189-194, Q.I. Rahman, G. Schmeisser
ON THE ZEROS AND POLES OF PADÉ APPROXIMANTS TO e^z. II, Pages 195-213, E.B. Saff, R.S. Varga
TWO-POINT PADE TABLES, T-FRACTIONS AND SEQUENCES OF SCHUR, Pages 215-226, W.J. Thron
THREE-TERM CONTIGUOUS RELATIONS AND SOME NEW ORTHOGONAL POLYNOMIALS, Pages 227-232, J.A. Wilson
ON A PROBLEM OF SAFF AND VARGA CONCERNING BEST RATIONAL APPROXIMATION, Pages 235-245, Colin Bennett, Karl Rudnick, Jeffrey D. Vaaler
A MINIMIZATION PROBLEM RELATED TO PADÉ SYNTHESIS OF RECURSIVE DIGITAL FILTERS, Pages 247-256, C.K. Chui, P.W. Smith, L.Y. Su
A CONTRIBUTION TO RATIONAL APPROXIMATION ON THE WHOLE REAL LINE, Pages 257-260, Géza Freud
ON THE POSSIBILITY OF RATIONAL APPROXIMATION, Pages 261-264, P.M. Gauthier
GEOMETRIC CONVERGENCE OF CHEBYSHEV RATIONAL APPROXIMATIONS ON THE HALF LINE, Pages 265-274, Myron S. Henry, John A. Roulier
OPTIMAL APPROXIMATION BY “ALMOST CLASSICAL” INTERPOLATION, Pages 275-288, F.M. Larkin
APPROXIMATION BY INCOMPLETE POLYNOMIALS (PROBLEMS AND RESULTS), Pages 289-302, G.G. Lorentz
ON THE CARDINALITY OF A SET OF BEST COMPLEX RATIONAL APPROXIMATIONS TO A REAL FUNCTION, Pages 303-319, Arden Ruttan
THE APPLICATION OF PADÉ APPROXIMANTS TO CRITICAL PHENOMENA, Pages 323-337, George A. Baker Jr.
VARIATIONAL PRINCIPLES AND MATRIX PADÉ APPROXIMANTS, Pages 339-356, L.P. Benofy, J.L. Gammel
OPERATOR PADÉ APPROXIMANTS FOR THE BETHE-SALPETER EQUATION OF NUCLEON-NUCLEON SCATTERING, Pages 357-363, J. Fleischer, J.A. Tjon
SERIES SUMMATION METHODS, Pages 365-374, J.L. Gammel
A VARIATIONAL APPROACH TO OPERATOR AND MATRIX PADÉ APPROXIMANTS. APPLICATIONS TO POTENTIAL SCATTERING AND FIELD THEORY, Pages 375-387, P. Mery
OPERATOR PADÉ APPROXIMANTS AND THREE-BODY SCATTERING, Pages 389-396, J.A. Tjon
SOFTWARE FOR APPROXIMATIONS OR APPROXIMATION THEORY AS AN EXPERIMENTAL SCIENCE, Pages 399-411, L. Wayne Fullerton
BEST RATIONAL APPROXIMATIONS WITH NEGATIVE POLES TO e^−x ON [0,∞), Pages 413-425, E.H. Kaufman Jr., G.D. Taylor
ALGORITHMS FOR RATIONAL APPROXIMATIONS FOR THE GAUSSIAN HYPERGEOMETRIC FUNCTION, Pages 427-437, Yudell L. Luke
ON THE LIMITATION AND APPLICATION OF PADÉ APPROXIMATION TO THE MATRIX EXPONENTIAL, Pages 439-448, Charles Van Loan
STATISTICAL ROUNDOFF ERROR ANALYSIS OF A PADÉ ALGORITHM FOR COMPUTING THE MATRIX EXPONENTIAL, Pages 449-460, Robert C. Ward
Summary of Panel Discussion “DIRECTIONS FOR RESEARCH”, Pages 463-464
MINIMAL REALIZATION FROM DATA SETS - A PROBLEM OF RATIONAL APPROXIMATION, Pages 465-475, David R. Audley
SOME DIRECTIONS FOR GUN FIRE CONTROL PREDICTORS, Pages 477-482, V. Benokraitis, Ĉ. Masaitis
SOME OPEN PROBLEMS CONCERNING POLYNOMIALS AND RATIONAL FUNCTIONS, Pages 483-488, E.B. Saff, R.S. Varga
RATIONAL APPROXIMATION AT WHITE SANDS MISSILE RANGE, Pages 489-491, W.L. Shepherd