Rational approximations to the solution of the second order Riccati equation

Authors:
Wyman Fair and Yudell L. Luke

Journal:
Math. Comp. **20** (1966), 602-606

MSC:
Primary 65.60

DOI:
https://doi.org/10.1090/S0025-5718-1966-0203906-X

MathSciNet review:
0203906

Full-text PDF

References | Similar Articles | Additional Information

**[1]**E. P. Merkes & W. T. Scott, "Continued fraction solutions of the Riccati equation,"*J. Math. Anal. Appl.*, v. 4, 1962, pp. 309-327. MR**25**#4167. MR**0140753 (25:4167)****[2]**W. Fair, "Padé Approximations to the Solution of the Riccati Equation,"*Math. Comp.*, v. 18, 1964, pp. 627-634. MR**29**#6630. MR**0169380 (29:6630)****[3]**Y. L. Luke, "The Padé table and the -method,"*J. Math. and Phys.*, v. 37, 1958, pp. 110-127. MR**20**#5558. MR**0099114 (20:5558)****[4]**H. T. Davis,*Introduction to Nonlinear Differential and Integral Equations*, Chapter 8, Dover, New York, 1962. MR**0181773 (31:6000)****[5]**W. E. Simon, "Numerical technique for solution and error estimate for the initial value problem,"*Math. Comp.*, v. 18, 1965, pp. 387-393. MR**0179951 (31:4188)****[6]**H. S. Wall,*Analytic Theory of Continued Fractions*, Van Nostrand, New York, 1948. MR**10**, 32. MR**0025596 (10:32d)****[7]**O. Perron,*Die Lehre von den Kettenbrüchen*, Vol. II, Teubner, Stuttgart, 1957. MR**19**, 25. MR**0085349 (19:25c)**

Retrieve articles in *Mathematics of Computation*
with MSC:
65.60

Retrieve articles in all journals with MSC: 65.60

Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1966-0203906-X

Article copyright:
© Copyright 1966
American Mathematical Society