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Publications in Math-Net.Ru |
Citations |
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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 |
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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 ; Autom. Remote Control, 83:12 (2022), 1886–1896 |
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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 |
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 ; Comput. Math. Math. Phys., 57:11 (2017), 1757–1770 |
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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 ; Comput. Math. Math. Phys., 57:9 (2017), 1416–1426 |
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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 |
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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 |
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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 ; Autom. Remote Control, 73:2 (2012), 219–231 |
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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 |
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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 ; Comput. Math. Math. Phys., 50:4 (2010), 589–605 |
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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 ; Comput. Math. Math. Phys., 48:1 (2008), 76–84 |
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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 ; Comput. Math. Math. Phys., 47:4 (2007), 564–578 |
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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 |
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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 |
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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 |
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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 ; Comput. Math. Math. Phys., 39:8 (1999), 1228–1230 |
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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 ; U.S.S.R. Comput. Math. Math. Phys., 29:6 (1989), 111 |
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