On a regularization method for solving systems of linear algebraic equations

Ján Buša

Aplikace matematiky (1990)

  • Volume: 35, Issue: 2, page 129-139
  • ISSN: 0862-7940

How to cite

top

Buša, Ján. "Об одном методе регуляризации решения систем линейных алгебраических уравнений." Aplikace matematiky 35.2 (1990): 129-139. <http://eudml.org/doc/15616>.

@article{Buša1990,
author = {Buša, Ján},
journal = {Aplikace matematiky},
keywords = {solving of system of linear algebraic equations; ill-posed problems; regularization; approximator to pseudo-inverse matrix; singular value decomposition; normal pseudo-solution; perturbed systems; global stability; ill-posed problem; regularization method; normal pseudo-solution; perturbed systems; global stability},
language = {rus},
number = {2},
pages = {129-139},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Об одном методе регуляризации решения систем линейных алгебраических уравнений},
url = {http://eudml.org/doc/15616},
volume = {35},
year = {1990},
}

TY - JOUR
AU - Buša, Ján
TI - Об одном методе регуляризации решения систем линейных алгебраических уравнений
JO - Aplikace matematiky
PY - 1990
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 35
IS - 2
SP - 129
EP - 139
LA - rus
KW - solving of system of linear algebraic equations; ill-posed problems; regularization; approximator to pseudo-inverse matrix; singular value decomposition; normal pseudo-solution; perturbed systems; global stability; ill-posed problem; regularization method; normal pseudo-solution; perturbed systems; global stability
UR - http://eudml.org/doc/15616
ER -

References

top
  1. Тихонов A. H., Арсенин В. Я., Методы решения некорректных задач, M.: Наука, 1979. (1979) Zbl1170.01331
  2. Воеводин В. В., Кузнецов Ю. А., Матрицы и вычисления, M. Наука, 1984. (1984) Zbl1170.01392
  3. Лоусон Ч., Хенсон Р., Численное решение задач метода наименьших квадратов, M.: Наука, 1986 (перевод с английского: Lawson Ch. L., Hanson R. L: Solving least squares problems. New Jersey. Prentice-Hall: Englewood Cliffs, Inc., 1974, 340.) (1986) Zbl1170.01320MR0366019
  4. Wedin P.-A., 10.1007/BF01933494, BIT, 13 (1973), pp. 217-232. (1973) MR0336982DOI10.1007/BF01933494
  5. Буша Я., Об одном методе регуляризации решения систем линейных алгебраических уравнений, ДАН СССР, т. 295 (1987), Но 1, с. 11-14. (1987) Zbl1170.01326

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.