200 years of least square method

Assyr Abdulle; Gerhard Wanner

Pokroky matematiky, fyziky a astronomie (2003)

  • Volume: 48, Issue: 2, page 89-104
  • ISSN: 0032-2423

How to cite

top

Abdulle, Assyr, and Wanner, Gerhard. "200 let metody nejmenších čtverců." Pokroky matematiky, fyziky a astronomie 48.2 (2003): 89-104. <http://eudml.org/doc/196517>.

@article{Abdulle2003,
author = {Abdulle, Assyr, Wanner, Gerhard},
journal = {Pokroky matematiky, fyziky a astronomie},
keywords = {least square method},
language = {cze},
number = {2},
pages = {89-104},
publisher = {Jednota českých matematiků a fyziků Union of Czech Mathematicians and Physicists},
title = {200 let metody nejmenších čtverců},
url = {http://eudml.org/doc/196517},
volume = {48},
year = {2003},
}

TY - JOUR
AU - Abdulle, Assyr
AU - Wanner, Gerhard
TI - 200 let metody nejmenších čtverců
JO - Pokroky matematiky, fyziky a astronomie
PY - 2003
PB - Jednota českých matematiků a fyziků Union of Czech Mathematicians and Physicists
VL - 48
IS - 2
SP - 89
EP - 104
LA - cze
KW - least square method
UR - http://eudml.org/doc/196517
ER -

References

top
  1. Björck, A., Numerical methods for least squares problems, 408 str., SIAM 1996. (1996) Zbl0847.65023MR1386889
  2. Bühler, W. K., GAUSS, eine biographische Studie, Springer Verlag, 1987. (1987) MR0967076
  3. Collins II, G. W., The Foundation of celestial mechanics, Astronomy and Astrophysics Series, vol. 16, Pachart Publishing House, Tuscon 1989. (1989) 
  4. Danjon, A., Astronomie genérale, Albert Blanchard, Paris, Seconde éd., 1986. (1986) Zbl0092.23804
  5. Deuflhard, P., Newton methods for nonlinear problems. Affine invariance and adaptive algorithms, V tisku, Springer Verlag 2002. (2002) Zbl1056.65051MR2063044
  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. (1996) Zbl0879.01008MR1457069
  7. Funk, M., Minor, H.-E., Eislawinen in den Alpen: Erfahrungen mit Schutzmassnahmen und Früherkennungsmethoden, Wasserwirtschaft vol. 91 (2001), 362–368. (2001) 
  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. (1809) 
  9. Gauss, C. F., Theoria motus corporum coelestium, Perthes et Besser, Hamburgi (1809), Werke vol. 7, 1–288. (1809) 
  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. (1823) 
  11. Gauss, C. F., Elliptische Bahnbestimmung, Aus Gauss’ Nachlass, Werke, vol. 11, 221–252. 
  12. Goldstine, H. H., A history of numerical analysis from the 16th through the 19th century, Springer Verlag, 1977. (1977) Zbl0402.01005MR0484905
  13. Letze, O., Buchsteiner, T., Leonardo da Vinci, scientist inventor artist, Exhibition Catalog 1999, Verlag Gerd Hajte, Ostfildern-Ruit, Germany. (1999) 
  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. (1900) Zbl31.0238.04
  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. (1972) Zbl0274.01024MR0326871
  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. (1995) MR1329543
  17. Stigler, S. M., Gauss and the invention of least squares, The Annals of Stat. 9 (1981), 465–474. (1981) Zbl0477.62001MR0615423
  18. Teets, D., Whitehead, K., The discovery of Ceres: How Gauss became famous, Math. Magazine 72 (1999), 83–93. (1999) Zbl1005.01007MR1701711
  19. Zach, F. X. von, Fortgesetzte Nachrichten über den längst vermutheten neuen HauptP̄laneten unseres Sonnen-Systems, In Gauss Werke, vol. 6, 199–204. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.