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Least Squares and Total Least Squares Methods in Coordinate Transformation

Year 2007, Issue: 97, 15 - 22, 01.12.2007

Orhan Akyılmaz Mustafa Acar M.tevfik Özlüdemir

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

Orhan Akyılmaz Mustafa Acar M.tevfik Özlüdemir

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.
There are 12 citations in total.

Details

Primary Language Turkish
Journal Section Research Article
Authors

Orhan Akyılmaz This is me

Mustafa Acar This is me

M.tevfik Özlüdemir This is me

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

Cite

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.
AMA Akyılmaz O, Acar M, Özlüdemir M. Koordinat dönüşümünde En Küçük Kareler ve Toplam En Küçük Yöntemleri. hkmojjd. December 2007;(97):15-22.
Chicago Akyılmaz, Orhan, Mustafa Acar, and M.tevfik Özlüdemir. “Koordinat dönüşümünde En Küçük Kareler Ve Toplam En Küçük Yöntemleri”. Jeodezi Ve Jeoinformasyon Dergisi, no. 97 (December 2007): 15-22.
EndNote Akyılmaz O, Acar M, Özlüdemir M (December 1, 2007) Koordinat dönüşümünde En Küçük Kareler ve Toplam En Küçük Yöntemleri. Jeodezi ve Jeoinformasyon Dergisi 97 15–22.
IEEE O. Akyılmaz, M. Acar, and M. Özlüdemir, “Koordinat dönüşümünde En Küçük Kareler ve Toplam En Küçük Yöntemleri”, hkmojjd, no. 97, pp. 15–22, December 2007.
ISNAD Akyılmaz, Orhan et al. “Koordinat dönüşümünde En Küçük Kareler Ve Toplam En Küçük Yöntemleri”. Jeodezi ve Jeoinformasyon Dergisi 97 (December 2007), 15-22.
JAMA Akyılmaz O, Acar M, Özlüdemir M. Koordinat dönüşümünde En Küçük Kareler ve Toplam En Küçük Yöntemleri. hkmojjd. 2007;:15–22.
MLA Akyılmaz, Orhan et al. “Koordinat dönüşümünde En Küçük Kareler Ve Toplam En Küçük Yöntemleri”. Jeodezi Ve Jeoinformasyon Dergisi, no. 97, 2007, pp. 15-22.
Vancouver Akyılmaz O, Acar M, Özlüdemir M. Koordinat dönüşümünde En Küçük Kareler ve Toplam En Küçük Yöntemleri. hkmojjd. 2007(97):15-22.