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Irene A. Sharaya, Sergey P. Shary
Analytical
descriptions of quantifier solutions to interval linear systems of relations //
Mathematics Open. — 2022. — Vol. 1. — 2250004.
Sharaya, I.A., Shary, S.P.
Reserve of characteristic inclusion as recognizing functional for interval linear systems
Scientific
Computing, Computer Arithmetic, and Validated Numerics. 16th International Symposium, SCAN 2014,
Wuerzburg, Germany, September 21-26, 2014. Revised Selected Papers / Nehmeier, M., Wolff
von Gudenberg, J., Tucker, W., eds. Lecture Notes in Computer Science, vol. 9553. –
Cham, Switzerland: Springer International, 2016. – P. 148-167.
Irene A. Sharaya
Boundary Intervals Method for visualization of polyhedral solution sets
Reliable Computing.
— 2015. — Vol. 19, Issue 4. — P. 435–467.
Sharaya, I.A.
Quantifier-free descriptions for quantifier solutions to interval linear systems of relations
Deposited in the electronic library arXiv.org
as the paper No. 1802.09199.
Sharaya, I.A.
Quantifier-free descriptions of interval-quantifier linear systems
Trudy
Instituta Matematiki i Mekhaniki UrO RAN
(Proceedings of the Institute of Mathematics and Mechanics, Ural Branch
of the Russian Academy of Sciences). — 2014. — Vol. 20, No. 2. — P. 311–323.
(In Russian)
[abstract]
Shary, S.P., Sharaya, I.A.
Recognizing solvability of interval equations and its application to data analysis
Computational Technologies.
— 2013. — Vol. 18, No. 3. — P. 80–109.
(In Russian)
[abstract]
Sharaya, I.A., Shary, S.P.
Tolerable solution set for interval linear systems with constraints on coefficients
Reliable Computing.
— 2011. — Volume 15 (Special volume for SCAN 2008), Issue 4 (July, 2011).
— P. 345–357.
Sharaya, I.A., Shary, S.P.
A tolerable solution set for interval linear systems with tied coefficients
Computational Technologies.
— 2009. — Vol. 14, No. 3. — P. 104–123.
(In Russian)
[abstract]
Sharaya, I.A.
The tolerable solution set of interval linear system of equations with dependent coefficients
Numerical Mathematics: Proceedings of XIV Baikal International School-seminar
"Optimization methods and their applications", July 2-8, Irkutsk, Baikal, 2008.
Vol. 3. — Irkutsk: Melentiev Energy Systems Institute SB RAS, 2008. — P. 196–203.
(In Russian)
[abstract]
Sharaya, I.A.
The tolerable solution set as a projection of the convex polyhedron
Computational Technologies.
— 2007. — Vol. 12, No. 6. — P. 124–137.
(In Russian)
[abstract]
Sharaya, I.A.
Transition to a bounded tolerable solution set
All-Russia conference on interval analysis and its applications INTERVAL-06, 1-4 July 2006, Petergof.
Extended abstracts. — St-Petersburg: VVM, 2006. — P. 135–139.
(In Russian)
Sharaya, I.A.
Structure of the tolerable solution set of an interval linear system
Computational Technologies,
2005, volume 10, No. 5, pp. 103–119.
(In Russian)
[abstract]
Sharaya, I.A.
On unbounded tolerable solution sets
Reliable Computing.
— 2005. — Vol. 11, No. 5. — P. 425–432.
Sharaya, I.A.
Is the tolerable solution set bounded?
Computational Technologies.
— 2004. — Vol. 9, No. 3. — P. 108–112.
(In Russian)
[abstract]
Sharaya, I.A.
On maximal inner estimation of the solution sets of linear systems with interval parameters
Reliable Computing. —
2001. — Vol. 7, No. 5. — P. 409–424.
Sharaya, I.A.
On maximal inner estimation of solutions sets to interval linear equations
Computational Technologies.
— 1998. — Vol. 3, No. 2. — P. 55–66.
(In Russian)
[abstract]
Sharaya, I.A.
On the distributivity in classical interval arithmetic
Computational Technologies.
— 1997. — Vol. 2, No. 1. — P. 71–83.
(In Russian)
[abstract]
Institute of Computational Technologies SB RAS acad. Lavrentiev avenue, 6 630090 Novosibirsk, Russia | |
E-mail: | sharaya@ict.nsc.ru |