| Title:
|
Algoritmy na výpočet kořenů polynomu (Czech) |
| Title:
|
Algorithms for computation of polynomial zeros (English) |
| Author:
|
Šípek, Jan |
| Author:
|
Zítko, Jan |
| Language:
|
Czech |
| Journal:
|
Pokroky matematiky, fyziky a astronomie |
| ISSN:
|
0032-2423 |
| Volume:
|
46 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
33-42 |
| . |
| Category:
|
math |
| . |
| MSC:
|
12Y05 |
| MSC:
|
26C10 |
| MSC:
|
30C15 |
| MSC:
|
65-02 |
| MSC:
|
65H05 |
| idZBL:
|
Zbl 1051.65063 |
| . |
| Date available:
|
2010-12-11T18:17:07Z |
| Last updated:
|
2012-08-25 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141061 |
| . |
| Reference:
|
[Ba95] Bailey, D. H.: A Fortran Based Multiprecision System.Tech. Report RNR-94-013, 1995. |
| Reference:
|
[Be40] Bell, E. T.: The Development of Mathematics.McGraw–Hill, New York 1940. Zbl 0025.00101, MR 0002768 |
| Reference:
|
[Bo68] Boyer, C. A.: A History of Mathematics.John Wiley & Sons, New York 1968. Zbl 0182.30401, MR 0234791 |
| Reference:
|
[Br78] Brent, R. P.: A Fortran Multiple Precision Arithmetic Package.ACM Trans. on Math. Software 4 (1978), 57–70. |
| Reference:
|
[Ev83] Eves, H.: An Introduction to the History of Mathematics.Saunders College Publishing 1983. Zbl 0564.01002, MR 0684360 |
| Reference:
|
[He64] Henrici, P.: Elements of Numerical Analysis.John Wiley & Sons, New York 1964. Zbl 0149.10901, MR 0166900 |
| Reference:
|
[Je70] Jenkins, M. A., Traub, J. F.: A three-stage variable-shift iteration for polynomial zeros and its relation to generalized Rayleigh iteration.Numer. Math. 14 (1970), 252–263. Zbl 0176.13701, MR 0258271 |
| Reference:
|
[Je72] Jenkins, M. A., Traub, J. F.: Algorithm 419: Zeros of a Complex Polynomial.Communications of the ACM 15 (1972), 97–110. |
| Reference:
|
[Kn69] Knuth, D. E.: The Art of Computer Programming.Volume 2 / Seminumerical Algorithms. Addison–Wesley publishing company, Inc. 1969. Zbl 0191.18001, MR 0286318 |
| Reference:
|
[Ku98] Kyurkchiev, N. V.: Initial Approximations and Root Finding Methods.1998. Zbl 0904.65047, MR 1640837 |
| Reference:
|
[Ma49] Marden, M.: The Geometry of the Zeros of a Polynomial.Amer. Math. Soc., Providence, R. I. 1949. Zbl 0038.15303, MR 0031114 |
| Reference:
|
[Nr95] Press, W. H., Teukolsky, S. A., Vetterling, W. T., Flannery, B. P.: Numerical Recipes in FORTRAN.The Art of Scientific Computing, Second Edition. Cambridge University Press 1995. MR 1196230 |
| Reference:
|
[Pa64] Parlett, B.: Laguerre’s Method Applied to the Matrix Eigenvalue Problem.Math. Comp. 18 (1964), 466–485. Zbl 0124.33004, MR 0165668 |
| Reference:
|
[Pr81] Práger, M.: Numerická matematika.SPN, Praha 1981. |
| Reference:
|
[Pv97] Pan, V. Y.: Solving a polynomial equation: Some history and recent progress.SIAM Rev. 39 (1997), 2, 187–220. Zbl 0873.65050, MR 1453318 |
| Reference:
|
[Ra65] Ralston, A.: A first course in numerical analysis.McGraw-Hill, New York 1965. Zbl 0139.31603, MR 0191070 |
| Reference:
|
[Vi87] Vitásek, E.: Numerické metody.SNTL, Praha 1987. |
| Reference:
|
[Wi63] Wilkinson, J. H.: Rounding Errors in Algebraic Processes.Notes on App. Sci. No. 32. Her Majesty’s Stationery Office 1963. Zbl 1041.65502, MR 0161456 |
| Reference:
|
[Zi75] Zítko, J.: Úvod do numerické matematiky.SPN, Praha 1975. |
| . |
