| Title:
|
Error bounds for the secant method (English) |
| Author:
|
Argyros, Ioannis K. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
41 |
| Issue:
|
1 |
| Year:
|
1991 |
| Pages:
|
69-82 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47J25 |
| MSC:
|
65J15 |
| idZBL:
|
Zbl 0757.65070 |
| idMR:
|
MR1094986 |
| . |
| Date available:
|
2009-09-25T10:29:22Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128566 |
| . |
| Reference:
|
[1] ARGYROS I. K.: Newton-like methods under mild differentiability conditions with error analysis.Bull. Austral. Math. Soc. Vol. 37, 2, 1987, 131-147. MR 0926985 |
| Reference:
|
[2] ARGYROS I. K.: On Newton's method and nondiscrete mathematical induction.Bull. Austral. Math. Soc. Vol. 38, 1988, 131-140. Zbl 0642.65043, MR 0968237 |
| Reference:
|
[3] DENNIS J. E.: Toward a unified convergence theory for Newton-like methods.In: Nonlinear Functional Analysis and Applications, L. B. Rail, Ed., Academic Press, New York, 1971. Zbl 0276.65029, MR 0278556 |
| Reference:
|
[4] GRAGG W. B., TAPIA R. A.: Optimal error bounds for the Newton-Kantorovich theorem.S.I.A.M. J. Numer. Anal. 11, 1, 1974, 10-13. Zbl 0284.65042, MR 0343594 |
| Reference:
|
[5] OSTROWSKI M. A.: Solution of equations in Euclidian and Banach spaces.Academic Press, New York, 1973. MR 0359306 |
| Reference:
|
[6] POTRA F. A., PTÁK V.: Sharp error bounds for Newton's process.Numer. Math. 34, 1980, 63-72. Zbl 0434.65034, MR 0560794 |
| Reference:
|
[7] POTRA F. A.: An error analysis for the Secant method.Numer. Math. 38, 1982, 427-445. Zbl 0465.65033, MR 0654108 |
| Reference:
|
[8] POTRA F. A.: Sharp error bounds for a class of Newton-like methods.Libertas Mathematica 5, 1985, 71-84. Zbl 0581.47050, MR 0816258 |
| Reference:
|
[9] POTRA F. A., PTÁK V.: Nondiscrete induction and iterative processes.Pitman Publ. Boston, 1984. Zbl 0549.41001, MR 0754338 |
| Reference:
|
[10] PTÁK V.: Nondiscrete mathematical induction and iterative existence proofs.Linear Algebra Appl. 13, 1976, 223-236. MR 0394119 |
| Reference:
|
[11] SCHMIDT J. W.: Regula-Falsi Verfahren mit konsistenter Steigung und Majoranten Prinzip.Period. Math. Hungar. 5, 3, 1974, 187-193. MR 0356487 |
| Reference:
|
[12] SERGEEV A. S.: On the method of chords Sibirsk.Mat. Z. 2, 1961, 282-289. MR 0130517 |
| . |
