| Title:
|
200 let metody nejmenších čtverců (Czech) |
| Title:
|
200 years of least square method (English) |
| Author:
|
Abdulle, Assyr |
| Author:
|
Wanner, Gerhard |
| Language:
|
Czech |
| Journal:
|
Pokroky matematiky, fyziky a astronomie |
| ISSN:
|
0032-2423 |
| Volume:
|
48 |
| Issue:
|
2 |
| Year:
|
2003 |
| Pages:
|
89-104 |
| . |
| Category:
|
math |
| . |
| MSC:
|
01A55 |
| MSC:
|
01A60 |
| MSC:
|
65-03 |
| idZBL:
|
Zbl 1055.01501 |
| Note:
|
Z Elemente der Mathematik 57 (2002), 45–60, přeložila N. Stehlíková. (Czech) |
| Note:
|
From Elemente der Mathematik 57 (2002), 45–60, translated by N. Stehlíková. (English) |
| . |
| Date available:
|
2010-12-11T19:47:09Z |
| Last updated:
|
2012-08-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141166 |
| . |
| Reference:
|
[1] Björck, A.: Numerical methods for least squares problems.408 str., SIAM 1996. MR 1386889 |
| Reference:
|
[2] Bühler, W. K.: GAUSS, eine biographische Studie.Springer Verlag, 1987. MR 0967076 |
| Reference:
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[3] Collins II, G. W.: The Foundation of celestial mechanics.Astronomy and Astrophysics Series, vol. 16, Pachart Publishing House, Tuscon 1989. |
| Reference:
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[4] Danjon, A.: Astronomie genérale.Albert Blanchard, Paris, Seconde éd., 1986. |
| Reference:
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[5] Deuflhard, P.: Newton methods for nonlinear problems. Affine invariance and adaptive algorithms.V tisku, Springer Verlag 2002. MR 2063044 |
| Reference:
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[6] Field, J. V.: Rediscovering the Archimedean polyhedra: Piero della Francesca, Luca Pacioli, Leonardo da Vinci, Albrecht Dürer, Daniele Barbaro, and Johannes Kepler.Arch. History Exact Sc. 50 (1996), 241–289. MR 1457069 |
| Reference:
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[7] Funk, M., Minor, H.-E.: Eislawinen in den Alpen: Erfahrungen mit Schutzmassnahmen und Früherkennungsmethoden.Wasserwirtschaft vol. 91 (2001), 362–368. |
| Reference:
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[8] Gauss, C. F.: Summarische Übersicht der zur Bestimmung der Bahnen der beiden neuen Hauptplaneten angewandten Methoden.Monatliche Correspondenz, hearusgeg. Freiherr von Zach, Sept. 1809, Werke, vol. 6, 148–165. |
| Reference:
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[9] Gauss, C. F.: Theoria motus corporum coelestium.Perthes et Besser, Hamburgi (1809), Werke vol. 7, 1–288. |
| Reference:
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[10] Gauss, C. F.: Theoria combinationis observationum erronibus minimis obnoxiae.Pars Prior et Pars Post., Comm. Soc. Reg. Scient. Gott. 5 (1823), Werke, vol. 4, 1–26, 27–53; Supplementum Comm. Soc. Reg. Scient. Gott. 6 (1828), Werke, vol. 4, 55–93. |
| Reference:
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[11] Gauss, C. F.: Elliptische Bahnbestimmung.Aus Gauss’ Nachlass, Werke, vol. 11, 221–252. |
| Reference:
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[12] Goldstine, H. H.: A history of numerical analysis from the 16th through the 19th century.Springer Verlag, 1977. Zbl 0402.01005, MR 0484905 |
| Reference:
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[13] Letze, O., Buchsteiner, T.: Leonardo da Vinci, scientist inventor artist.Exhibition Catalog 1999, Verlag Gerd Hajte, Ostfildern-Ruit, Germany. |
| Reference:
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[14] Pearson, K.: On a criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling.Phil. Mag. (5) 50 (1900), 157–175; corr. Phil. Mag. (6) 1 (1901), 670–671. |
| Reference:
|
[15] Plackett, R. L.: Studies in the history of probability and statistics. XXIX, The discovery of the method of least squares.Biometrika 59 (1972), 239–251. MR 0326871 |
| Reference:
|
[16] Stewart, G. W.: Gauss, Theory of the combination of observations least subject to errors.Bilingual edition of [10] with an Afterword, Classics in Appl. Math., SIAM 1995. MR 1329543 |
| Reference:
|
[17] Stigler, S. M.: Gauss and the invention of least squares.The Annals of Stat. 9 (1981), 465–474. Zbl 0477.62001, MR 0615423 |
| Reference:
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[18] Teets, D., Whitehead, K.: The discovery of Ceres: How Gauss became famous.Math. Magazine 72 (1999), 83–93. Zbl 1005.01007, MR 1701711 |
| Reference:
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[19] Zach, F. X. von: Fortgesetzte Nachrichten über den längst vermutheten neuen HauptP̄laneten unseres Sonnen-Systems.In Gauss Werke, vol. 6, 199–204. |
| . |
