Solution of a system of linear equations with given error sets for coefficients

František Šik

Aplikace matematiky (1982)

  • Volume: 27, Issue: 5, page 319-325
  • ISSN: 0862-7940

Abstract

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In the paper, a method is given for finding all solutions of a system of linear equations with interval coefficients and with additional supposition that these coefficients fulfil a given system of homogeneous linear equations.

How to cite

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Šik, František. "Solution of a system of linear equations with given error sets for coefficients." Aplikace matematiky 27.5 (1982): 319-325. <http://eudml.org/doc/15254>.

@article{Šik1982,
abstract = {In the paper, a method is given for finding all solutions of a system of linear equations with interval coefficients and with additional supposition that these coefficients fulfil a given system of homogeneous linear equations.},
author = {Šik, František},
journal = {Aplikace matematiky},
keywords = {interval coefficients; interval arithmetic; two-sided bounds; interval coefficients; interval arithmetic; two-sided bounds},
language = {eng},
number = {5},
pages = {319-325},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Solution of a system of linear equations with given error sets for coefficients},
url = {http://eudml.org/doc/15254},
volume = {27},
year = {1982},
}

TY - JOUR
AU - Šik, František
TI - Solution of a system of linear equations with given error sets for coefficients
JO - Aplikace matematiky
PY - 1982
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 27
IS - 5
SP - 319
EP - 325
AB - In the paper, a method is given for finding all solutions of a system of linear equations with interval coefficients and with additional supposition that these coefficients fulfil a given system of homogeneous linear equations.
LA - eng
KW - interval coefficients; interval arithmetic; two-sided bounds; interval coefficients; interval arithmetic; two-sided bounds
UR - http://eudml.org/doc/15254
ER -

References

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  1. M. Balinski, An algorithm for finding all vertices of a convex polyhedral set, SIAM Journal, 9 (1) (1961), 72-88. (1961) MR0142057
  2. R. T. Rockafellar, Convex analysis, Princeton, 1970. (Russian translation Moskva, 1973.) (1970) Zbl0193.18401MR0274683
  3. F. Šik, A linear problem of the interval calculus, Ekonom.-matem. obzor, 16 (1980), 37-46. (1980) MR0571740
  4. W. Oettli W. Prager, 10.1007/BF01386090, Numerische Math., 6 (1964), 405 - 409. (1964) MR0168106DOI10.1007/BF01386090
  5. J. Rohn, Soustavy lineárních rovnic s intervalově zadanými koeficienty, (Systems of linear equations with inexact data). Ekonom.-matem. obzor, 12 (1976), 311 - 315. (1976) MR0448832
  6. D. J. Hartfiel, Concerning the solution set of A x = b where P ≤ A ≤ Q and p ≤ b ≤ q , Numerische Mathem., 35 (1980), 355-359. (1980) Zbl0446.65017MR0592162
  7. T. H. Mathesis S. David Rubin, 10.1287/moor.5.2.167, Math. Oper. Res. 5 (1980) no. 2, 167-185. (1980) MR0571811DOI10.1287/moor.5.2.167

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