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Least Squares and Total Least Squares Methods in Coordinate Transformation

Year 2007, Issue 97, 15 - 22, 01.12.2007

References

  • ACAR M., ÖZLÜDEMÝR M.T., AKYILMAZ O., ÇELÝK R.N. ve AYAN T.: Deformation analysis with Total Least Squares, Natural Hazards and Earth System Sciences, n.6 (2006), p.663–670.
  • AKYILMAZ O.: Total Least Squares solution of coordinate transformation, Survey Review, v.39, n.303 (2007), p.68–80.
  • AYAN T.: Matematik istatistik ve hipotez testleri, Lisansüstü ders notlarý, Ýstanbul Teknik Üniversitesi, 1981.
  • AYAN T.: Dengeleme hesabý, Lisans ders notlarý, Ýstanbul Teknik Üniversitesi, 2001.
  • FELUS Y.: Application of Total Least Squares for spatial point process analysis, Journal of Surveying Engineering, v. 130, n. 3 (2004), p.126- 133.
  • GOLUB H.G. ve LOAN F.C.: An analysis of the Total Least Squares problem, SIAM Journal of Numerical Analysis, v. 17, n. 6 (1980), p.883- 893.
  • KOCH K.R.: Parameter estimation and hypothesis testing in linear models, 2nd Ed., Springer, ISBN-13: 978-3540652571, Berlin, 1999.
  • LEON S.: Linear algebra with applications, 6th Ed., Prentice Hall, ISBN- 13: 978-0130337832, New Jersey, ABD, 2002
  • MARKOVSKY I., VAN HUFFEL S. ve KUKUSH A.: On the computation of the multivariate structured Total Least Squares estimator, Numerical Linear Algebra with Applications, n. 11 (2004), p. 591-608.
  • VAN HUFFEL S.: The generalized Total Least Squares problem: formulation, algorithm and properties, In: Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms, G. H. Golub and P. V. Dooren (Eds.), NATO ASI Series F No. 70, Springer, ISBN-13: 978- 0387523002, Berlin, 1991.
  • VAN HUFFEL S. ve VANDEWALLE J.: The Total Least Squares problem: computational aspects and analysis. Society for Industrial and Applied Mathematics (SIAM), ISBN-13: 978-0-898712-75-9, Philadelphia, ABD, 1991.
  • WOLF R.P. ve GHILANI D.C.: Adjustment computations: statistics and least squares in surveying and GIS, Wiley, ISBN-13: 978-0471168331, New York, ABD, 1997.

Koordinat dönüşümünde En Küçük Kareler ve Toplam En Küçük Yöntemleri

Year 2007, Issue 97, 15 - 22, 01.12.2007

References

  • ACAR M., ÖZLÜDEMÝR M.T., AKYILMAZ O., ÇELÝK R.N. ve AYAN T.: Deformation analysis with Total Least Squares, Natural Hazards and Earth System Sciences, n.6 (2006), p.663–670.
  • AKYILMAZ O.: Total Least Squares solution of coordinate transformation, Survey Review, v.39, n.303 (2007), p.68–80.
  • AYAN T.: Matematik istatistik ve hipotez testleri, Lisansüstü ders notlarý, Ýstanbul Teknik Üniversitesi, 1981.
  • AYAN T.: Dengeleme hesabý, Lisans ders notlarý, Ýstanbul Teknik Üniversitesi, 2001.
  • FELUS Y.: Application of Total Least Squares for spatial point process analysis, Journal of Surveying Engineering, v. 130, n. 3 (2004), p.126- 133.
  • GOLUB H.G. ve LOAN F.C.: An analysis of the Total Least Squares problem, SIAM Journal of Numerical Analysis, v. 17, n. 6 (1980), p.883- 893.
  • KOCH K.R.: Parameter estimation and hypothesis testing in linear models, 2nd Ed., Springer, ISBN-13: 978-3540652571, Berlin, 1999.
  • LEON S.: Linear algebra with applications, 6th Ed., Prentice Hall, ISBN- 13: 978-0130337832, New Jersey, ABD, 2002
  • MARKOVSKY I., VAN HUFFEL S. ve KUKUSH A.: On the computation of the multivariate structured Total Least Squares estimator, Numerical Linear Algebra with Applications, n. 11 (2004), p. 591-608.
  • VAN HUFFEL S.: The generalized Total Least Squares problem: formulation, algorithm and properties, In: Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms, G. H. Golub and P. V. Dooren (Eds.), NATO ASI Series F No. 70, Springer, ISBN-13: 978- 0387523002, Berlin, 1991.
  • VAN HUFFEL S. ve VANDEWALLE J.: The Total Least Squares problem: computational aspects and analysis. Society for Industrial and Applied Mathematics (SIAM), ISBN-13: 978-0-898712-75-9, Philadelphia, ABD, 1991.
  • WOLF R.P. ve GHILANI D.C.: Adjustment computations: statistics and least squares in surveying and GIS, Wiley, ISBN-13: 978-0471168331, New York, ABD, 1997.

Details

Primary Language Turkish
Journal Section Research Article
Authors

Orhan AKYILMAZ This is me


Mustafa ACAR This is me


M.tevfik ÖZLÜDEMİR This is me

Publication Date December 1, 2007
Published in Issue Year 2007, Volume , Issue 97

Cite

Bibtex @ { hkmojjd704734, journal = {Jeodezi ve Jeoinformasyon Dergisi}, issn = {2147-1339}, eissn = {2667-8519}, address = {TMMOB Harita ve Kadastro Mühendisleri Odası Sümer 1. sokak No:12/4 06440 Kızılay/Ankara}, publisher = {TMMOB Harita ve Kadastro Mühendisleri Odası}, year = {2007}, number = {97}, pages = {15 - 22}, title = {Koordinat dönüşümünde En Küçük Kareler ve Toplam En Küçük Yöntemleri}, key = {cite}, author = {Akyılmaz, Orhan and Acar, Mustafa and Özlüdemir, M.tevfik} }
APA Akyılmaz, O. , Acar, M. & Özlüdemir, M. (2007). Koordinat dönüşümünde En Küçük Kareler ve Toplam En Küçük Yöntemleri . Jeodezi ve Jeoinformasyon Dergisi , (97) , 15-22 . Retrieved from https://dergipark.org.tr/en/pub/hkmojjd/issue/53149/704734
MLA Akyılmaz, O. , Acar, M. , Özlüdemir, M. "Koordinat dönüşümünde En Küçük Kareler ve Toplam En Küçük Yöntemleri" . Jeodezi ve Jeoinformasyon Dergisi (2007 ): 15-22 <https://dergipark.org.tr/en/pub/hkmojjd/issue/53149/704734>
Chicago Akyılmaz, O. , Acar, M. , Özlüdemir, M. "Koordinat dönüşümünde En Küçük Kareler ve Toplam En Küçük Yöntemleri". Jeodezi ve Jeoinformasyon Dergisi (2007 ): 15-22
RIS TY - JOUR T1 - Least Squares and Total Least Squares Methods in Coordinate Transformation AU - OrhanAkyılmaz, MustafaAcar, M.tevfikÖzlüdemir Y1 - 2007 PY - 2007 N1 - DO - T2 - Jeodezi ve Jeoinformasyon Dergisi JF - Journal JO - JOR SP - 15 EP - 22 VL - IS - 97 SN - 2147-1339-2667-8519 M3 - UR - Y2 - 2023 ER -
EndNote %0 Journal of Geodesy and Geoinformation Koordinat dönüşümünde En Küçük Kareler ve Toplam En Küçük Yöntemleri %A Orhan Akyılmaz , Mustafa Acar , M.tevfik Özlüdemir %T Koordinat dönüşümünde En Küçük Kareler ve Toplam En Küçük Yöntemleri %D 2007 %J Jeodezi ve Jeoinformasyon Dergisi %P 2147-1339-2667-8519 %V %N 97 %R %U
ISNAD Akyılmaz, Orhan , Acar, Mustafa , Özlüdemir, M.tevfik . "Koordinat dönüşümünde En Küçük Kareler ve Toplam En Küçük Yöntemleri". Jeodezi ve Jeoinformasyon Dergisi / 97 (December 2007): 15-22 .
AMA Akyılmaz O. , Acar M. , Özlüdemir M. Koordinat dönüşümünde En Küçük Kareler ve Toplam En Küçük Yöntemleri. hkmojjd. 2007; (97): 15-22.
Vancouver Akyılmaz O. , Acar M. , Özlüdemir M. Koordinat dönüşümünde En Küçük Kareler ve Toplam En Küçük Yöntemleri. Jeodezi ve Jeoinformasyon Dergisi. 2007; (97): 15-22.
IEEE O. Akyılmaz , M. Acar and M. Özlüdemir , "Koordinat dönüşümünde En Küçük Kareler ve Toplam En Küçük Yöntemleri", Jeodezi ve Jeoinformasyon Dergisi, no. 97, pp. 15-22, Dec. 2007