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

Aplikace matematiky (1982)

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

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topŠik, 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

top- M. Balinski, An algorithm for finding all vertices of a convex polyhedral set, SIAM Journal, 9 (1) (1961), 72-88. (1961) Zbl0108.33203MR0142057
- R. T. Rockafellar, Convex analysis, Princeton, 1970. (Russian translation Moskva, 1973.) (1970) Zbl0193.18401MR0274683
- F. Šik, A linear problem of the interval calculus, Ekonom.-matem. obzor, 16 (1980), 37-46. (1980) Zbl0437.65037MR0571740
- W. Oettli W. Prager, 10.1007/BF01386090, Numerische Math., 6 (1964), 405 - 409. (1964) Zbl0133.08603MR0168106DOI10.1007/BF01386090
- 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
- D. J. Hartfiel, Concerning the solution set of $Ax=b$ where $P\le A\le Q$ and $p\le b\le q$, Numerische Mathem., 35 (1980), 355-359. (1980) Zbl0446.65017MR0592162
- 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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