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Erokhin, Vladimir Ivanovich

Statistics Math-Net.Ru
Total publications: 17
Scientific articles: 17

Number of views:
This page:1024
Abstract pages:5889
Full texts:1814
References:847
Professor
Doctor of physico-mathematical sciences (2006)
Speciality: 05.13.17 (Theoretical foundation for informatics)
Birth date: 1.04.1962
E-mail:

https://www.mathnet.ru/eng/person28513
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/655475
https://elibrary.ru/author_items.asp?authorid=156111
https://orcid.org/0000-0002-1760-7859
https://www.scopus.com/authid/detail.url?authorId=14066960600

Publications in Math-Net.Ru Citations
2023
1. V. I. Erokhin, A. Kadochnikov, S. V. Sotnikov, “Linear binary classification of data with interval uncertainty”, Artificial Intelligence and Decision Making, 2023, no. 3,  76–83  mathnet  elib
2022
2. V. I. Erokhin, A. P. Kadochnikov, S. V. Sotnikov, “Sufficient conditions for the significance of the coefficients of linear models and the polynomial-time complexity of their determination from data with interval uncertainty”, Avtomat. i Telemekh., 2022, no. 12,  18–30  mathnet  mathscinet; Autom. Remote Control, 83:12 (2022), 1886–1896
2017
3. V. I. Erokhin, V. V. Volkov, “About A. N. Tikhonov's regularized least squares method”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 13:1 (2017),  4–16  mathnet  elib
4. V. V. Volkov, V. I. Erokhin, A. S. Krasnikov, A. V. Razumov, M. N. Khvostov, “Minimum-Euclidean-norm matrix correction for a pair of dual linear programming problems”, Zh. Vychisl. Mat. Mat. Fiz., 57:11 (2017),  1788–1803  mathnet  elib; Comput. Math. Math. Phys., 57:11 (2017), 1757–1770  isi  scopus 6
5. V. V. Volkov, V. I. Erokhin, V. V. Kakaev, A. Yu. Onufrei, “Generalizations of Tikhonov’s regularized method of least squares to non-Euclidean vector norms”, Zh. Vychisl. Mat. Mat. Fiz., 57:9 (2017),  1433–1443  mathnet  elib; Comput. Math. Math. Phys., 57:9 (2017), 1416–1426  isi  elib  scopus 2
2015
6. V. I. Erokhin, “On some sufficient conditions for the solvability and unsolvability of matrix correction problems for improper linear programming problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:3 (2015),  110–116  mathnet  mathscinet  elib 1
2013
7. V. I. Erokhin, A. S. Krasnikov, M. N. Hvostov, “On sufficient conditions for the solvability of linear programming for matrix correction of the system of constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:2 (2013),  144–156  mathnet  mathscinet  elib 2
2012
8. V. I. Erokhin, A. S. Krasnikov, M. N. Khvostov, “Matrix corrections minimal with respect to the Euclidean norm for linear programming problems”, Avtomat. i Telemekh., 2012, no. 2,  11–24  mathnet; Autom. Remote Control, 73:2 (2012), 219–231  isi  scopus 9
2010
9. V. I. Erokhin, V. V. Volkov, “Construction of model approximate systems of linear algebraic equations with known solutions”, Sib. Èlektron. Mat. Izv., 7 (2010),  207–217  mathnet 1
10. V. V. Volkov, V. I. Erokhin, “Tikhonov solutions of approximate systems of linear algebraic equations under finite perturbations of their matrices”, Zh. Vychisl. Mat. Mat. Fiz., 50:4 (2010),  618–635  mathnet  mathscinet; Comput. Math. Math. Phys., 50:4 (2010), 589–605  isi  scopus 6
2008
11. V. I. Erokhin, A. S. Krasnikov, “Matrix correction of a dual pair of improper linear programming problems with a block structure”, Zh. Vychisl. Mat. Mat. Fiz., 48:1 (2008),  80–89  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 48:1 (2008), 76–84  isi  scopus 1
2007
12. V. I. Erokhin, “Matrix correction of a dual pair of improper linear programming problems”, Zh. Vychisl. Mat. Mat. Fiz., 47:4 (2007),  587–601  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 47:4 (2007), 564–578  scopus 12
2005
13. V. A. Gorelik, V. I. Erokhin, R. V. Pechenkin, “Optimal matrix correction of incompatible systems of linear algebraic equations with block matrices of coefficients”, Diskretn. Anal. Issled. Oper., Ser. 2, 12:2 (2005),  3–23  mathnet  mathscinet  zmath 7
2002
14. V. I. Erokhin, “Optimal matrix correction and regularization of incompatible linear models”, Diskretn. Anal. Issled. Oper., Ser. 2, 9:2 (2002),  41–77  mathnet  mathscinet  zmath 4
15. V. I. Erokhin, “Properties of optimal single-rank correction of matrices of coefficients of inconsistent nonhomogeneous linear models”, Diskretn. Anal. Issled. Oper., Ser. 2, 9:1 (2002),  33–60  mathnet  mathscinet 5
1999
16. V. I. Erokhin, “An extension of the Sherman–Morrison identity to the case of rank-one modification of the full rank pseudoinverse matrix”, Zh. Vychisl. Mat. Mat. Fiz., 39:8 (1999),  1280–1282  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:8 (1999), 1228–1230 1
1989
17. V. I. Erokhin, V. V. Kashmet, N. V. Lisitsyn, “Modification of Greville's algorithm for removing columns (rows) when constructing a pseudo-inverse matrix”, Zh. Vychisl. Mat. Mat. Fiz., 29:11 (1989),  1753  mathnet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:6 (1989), 111 1

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