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Alpin, Yuri Abdullovich
Associate professor
Candidate of physico-mathematical sciences (1978)
Speciality: 01.01.09 (Discrete mathematics and mathematical cybernetics)
E-mail: ; ;
Website: http://www.ksu.ru/persons/5207.ru.html
Keywords: matrix, perron root.
UDC: 512.643, 512.643.8, 512, 512.64, 519.6, 512.623, 577.4, 512.6, 519.21
MSC: 60J10, 15A42

Subject:

Linear algebra, matrix theory.
   
Main publications:
  1. Yu. A. Al'pin, Kh. D. Ikramov, “On the Unitary Similarity of Matrix Families”, Math. Notes, 74:6 (2003), 772–782  crossref  mathscinet  zmath

https://www.mathnet.ru/eng/person18356
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/195693

Publications in Math-Net.Ru Citations
2024
1. Yu. A. Alpin, A. E. Guterman, E. R. Shafeev, “Chainable properties of semigroups of nonnegative matrices”, Sib. Èlektron. Mat. Izv., 21:2 (2024),  810–822  mathnet
2023
2. Yu. A. Alpin, N. N. Korneeva, “Ergodicity Coefficient. New Proofs of Known Properties”, Mat. Zametki, 114:6 (2023),  803–807  mathnet; Math. Notes, 114:6 (2023), 1103–1106  scopus
3. Yu. A. Al'pin, V. S. Al'pina, “Ergodicity index of the set of stochastic matrices”, Zap. Nauchn. Sem. POMI, 524 (2023),  7–17  mathnet; J. Math. Sci. (N. Y.), 281:2 (2024), 227–233
2022
4. Yu. A. Alpin, A. E. Guterman, E. R. Shafeev, “An upper bound for the chainable index”, Zap. Nauchn. Sem. POMI, 514 (2022),  5–17  mathnet 1
2021
5. Yu. A. Al'pin, V. G. Tregubov, “Combinatorial structure of a semigroup of bistochastic matrices”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 9,  80–85  mathnet; Russian Math. (Iz. VUZ), 65:9 (2021), 69–72
6. Yu. A. Al'pin, I. V. Bashkin, “Nonnegative chainable matrices and Kolmogorov's condition”, Zap. Nauchn. Sem. POMI, 504 (2021),  5–20  mathnet 2
2020
7. Yu. A. Al'pin, I. V. Bashkin, “Nonnegative chainable matrices”, Zap. Nauchn. Sem. POMI, 496 (2020),  5–25  mathnet 3
2019
8. Yu. A. Alpin, V. S. Al'pina, “A New Proof of the Protasov–Voynov Theorem on Semigroups of Nonnegative Matrices”, Mat. Zametki, 105:6 (2019),  807–815  mathnet  mathscinet  elib; Math. Notes, 105:6 (2019), 805–811  isi  scopus 6
2018
9. Yu. A. Al'pin, V. S. Al'pina, “Indices of imprimitivity of the temporal components of a semigroup of nonnegative matrices”, Zap. Nauchn. Sem. POMI, 472 (2018),  17–30  mathnet
2017
10. Yu. A. Al'pin, V. S. Al'pina, “Temporal components of a semigroup of nonnegative matrices. A generalization of Minc's theorem on the structure of an irreducible matrix”, Zap. Nauchn. Sem. POMI, 463 (2017),  5–12  mathnet; J. Math. Sci. (N. Y.), 232:6 (2018), 747–751  scopus 1
2016
11. Yu. A. Al'pin, V. S. Al'pina, “Combinatorial structure of $k$-semiprimitive matrix families”, Mat. Sb., 207:5 (2016),  3–16  mathnet  mathscinet  zmath  elib; Sb. Math., 207:5 (2016), 639–651  isi  scopus 1
12. Yu. A. Al'pin, V. S. Al'pina, “Locally strongly primitive semigroups of nonnegative matrices”, Zap. Nauchn. Sem. POMI, 453 (2016),  5–14  mathnet  mathscinet; J. Math. Sci. (N. Y.), 224:6 (2017), 815–820  scopus 1
2015
13. Yu. A. Al'pin, V. S. Al'pina, “Combinatorial and spectral properties of semigroups of stochastic matrices”, Zap. Nauchn. Sem. POMI, 439 (2015),  13–25  mathnet  mathscinet; J. Math. Sci. (N. Y.), 216:6 (2016), 730–737  scopus 2
2014
14. Yu. A. Al'pin, V. S. Al'pina, “Combinatorial properties of entire semigroups of nonnegative matrices”, Zap. Nauchn. Sem. POMI, 428 (2014),  13–31  mathnet; J. Math. Sci. (N. Y.), 207:5 (2015), 674–685  scopus 7
2013
15. Yu. A. Al'pin, “Harary's theorem on signed graphs and reversibility of Markov chains”, Zap. Nauchn. Sem. POMI, 419 (2013),  5–15  mathnet; J. Math. Sci. (N. Y.), 199:4 (2014), 375–380  scopus
2012
16. Yu. A. Alpin, V. S. Alpina, “On the normal form of a stochastic matrix”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154:2 (2012),  60–72  mathnet 1
17. Yu. A. Al'pin, V. S. Al'pina, “Combinatorial properties of irreducible semigroups of nonnegative matrices”, Zap. Nauchn. Sem. POMI, 405 (2012),  13–23  mathnet  mathscinet; J. Math. Sci. (N. Y.), 191:1 (2013), 4–9  scopus 13
2011
18. Yu. A. Al'pin, Kh. D. Ikramov, “A criterion for unitary congruence between complex matrices”, Zap. Nauchn. Sem. POMI, 395 (2011),  9–19  mathnet  mathscinet; J. Math. Sci. (N. Y.), 182:6 (2012), 748–753  scopus 1
2010
19. Yu. A. Alpin, “Bounds for Joint Spectral Radii of a Set of Nonnegative Matrices”, Mat. Zametki, 87:1 (2010),  13–16  mathnet  mathscinet  zmath  elib; Math. Notes, 87:1 (2010), 12–14  isi  scopus 1
2009
20. Yu. A. Al'pin, “A formula for the Perron vector of a stochastic matrix”, Zap. Nauchn. Sem. POMI, 367 (2009),  5–8  mathnet; J. Math. Sci. (N. Y.), 165:5 (2010), 499–500  scopus
2008
21. Yu. A. Al'pin, V. S. Al'pina, “The Perron–Frobenius theorem – a proof with the use of Markov chains”, Zap. Nauchn. Sem. POMI, 359 (2008),  5–16  mathnet  zmath; J. Math. Sci. (N. Y.), 157:5 (2009), 675–680  scopus 3
2006
22. Yu. A. Alpin, L. Yu. Kolotilina, N. N. Korneeva, “Joint bounds for the Perron roots of nonnegative matrices with applications”, Zap. Nauchn. Sem. POMI, 334 (2006),  30–56  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 141:6 (2007), 1586–1600  scopus 3
23. Yu. A. Alpin, L. Yu. Kolotilina, “The generalized monotonicity property of the Perron root”, Zap. Nauchn. Sem. POMI, 334 (2006),  13–29  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 141:6 (2007), 1576–1585  scopus 5
2005
24. Yu. A. Alpin, S. N. Il'in, “The matrix equation $AX-YB=C$ and related problems”, Zap. Nauchn. Sem. POMI, 323 (2005),  15–23  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 137:3 (2006), 4769–4773  scopus 1
25. Yu. A. Alpin, Kh. D. Ikramov, “Unitary similarity of algebras generated by pairs of orthoprojectors”, Zap. Nauchn. Sem. POMI, 323 (2005),  5–14  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 137:3 (2006), 4763–4768  scopus 5
2004
26. V. S. Al'pina, Yu. A. Alpin, “Permanental compound matrices and Schneider's theorem”, Zap. Nauchn. Sem. POMI, 309 (2004),  5–16  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 132:2 (2006), 147–152 1
2003
27. Yu. A. Alpin, Kh. D. Ikramov, “On the Unitary Similarity of Matrix Families”, Mat. Zametki, 74:6 (2003),  815–826  mathnet  mathscinet  zmath; Math. Notes, 74:6 (2003), 772–782  isi 16
28. Yu. A. Alpin, S. N. Il'in, “Infinite extensions of Toeplitz matrices”, Zap. Nauchn. Sem. POMI, 296 (2003),  5–14  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 127:3 (2005), 1957–1961 1
2002
29. Yu. A. Alpin, S. N. Il'in, “Powers of sign portraits of real matrices”, Zap. Nauchn. Sem. POMI, 284 (2002),  5–17  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 121:4 (2004), 2441–2447 3
2000
30. Yu. A. Alpin, N. A. Koreshkov, “On the Simultaneous Triangulability of Matrices”, Mat. Zametki, 68:5 (2000),  648–652  mathnet  mathscinet  zmath; Math. Notes, 68:5 (2000), 552–555  isi 12
31. Yu. A. Alpin, Kh. D. Ikramov, “Rational procedures in the problem of common invariant subspaces of two matrices”, Zap. Nauchn. Sem. POMI, 268 (2000),  9–23  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 114:6 (2003), 1757–1764 8
1997
32. Yu. A. Alpin, “Improvement of Frobenius bounds for the Perron root of a non-negative matrix”, Zh. Vychisl. Mat. Mat. Fiz., 37:2 (1997),  131–138  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:2 (1997), 125–132 1
1996
33. Yu. A. Alpin, G. O. Èl'sting, “On an analogue of Specht's criterion for unitary equivalence of matrices for the case of an arbitrary field”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 4,  3–6  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 40:4 (1996), 1–4
1995
34. Yu. A. Alpin, “Bounds for the Perron root of a nonnegative matrix involving the properties of its graph”, Mat. Zametki, 58:4 (1995),  635–637  mathnet  mathscinet  zmath; Math. Notes, 58:4 (1995), 1121–1123  isi 16
1994
35. Yu. A. Alpin, “The influence of the position of the zeros in a non-negative matrix on the convergence of the algorithm for computing its Perron root”, Zh. Vychisl. Mat. Mat. Fiz., 34:5 (1994),  770–775  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:5 (1994), 665–670  isi
1981
36. Yu. A. Al'pin, N. Z. Gabbasov, “An extension of generalized Hankel matrices”, Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 5,  35–39  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 25:5 (1981), 35–39 1
1976
37. Yu. A. Alpin, N. Z. Gabbasov, “A remark on the problem locating the eigenvalues of real matrices”, Izv. Vyssh. Uchebn. Zaved. Mat., 1976, no. 11,  98–100  mathnet  mathscinet; Soviet Math. (Iz. VUZ), 20:11 (1976), 86–88 1
1975
38. Yu. A. Alpin, R. G. Bukharaev, “A sufficiency test for nonrepresentability of languages in finite-state probabilistic automata”, Dokl. Akad. Nauk SSSR, 223:4 (1975),  777–780  mathnet  mathscinet  zmath
39. Yu. A. Alpin, R. G. Bukharaev, “The structure of the lexical functions that can be represented in finite-dimensional linear automata”, Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 7,  3–9  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 19:7 (1975), 1–6
2012
40. A. N. Abyzov, Yu. A. Alpin, N. A. Koreshkov, M. F. Nasrutdinov, S. N. Tronin, “Algebraic studies at Kazan University from V. V. Morozov to our days”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154:2 (2012),  44–59  mathnet

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