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Alpin, Yuri Abdullovich
Statistics Math-Net.Ru
Total publications: 39
Scientific articles: 38

Number of views:
This page:1467
Abstract pages:14897
Full texts:5821
References:1865
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
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/195693

Publications in Math-Net.Ru Citations
2023
1. 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
2. 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
2022
3. 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
2021
4. 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
5. Yu. A. Al'pin, I. V. Bashkin, “Nonnegative chainable matrices and Kolmogorov's condition”, Zap. Nauchn. Sem. POMI, 504 (2021),  5–20  mathnet 1
2020
6. Yu. A. Al'pin, I. V. Bashkin, “Nonnegative chainable matrices”, Zap. Nauchn. Sem. POMI, 496 (2020),  5–25  mathnet 2
2019
7. 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
8. 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
9. 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
10. Yu. A. Al'pin, V. S. Al'pina, “Combinatorial structure of $k$-semiprimitive matrix families”, Mat. Sb., 207:5 (2016),  3–16  mathnet  mathscinet  elib; Sb. Math., 207:5 (2016), 639–651  isi  scopus 1
11. 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
12. 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 3
2014
13. 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
14. 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
15. 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
16. 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
17. 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
18. 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
19. 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
20. 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
21. 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
22. 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
23. 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
24. 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
25. 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
26. 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
27. 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
28. 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
29. 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 11
30. 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
31. 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
32. 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
33. 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
34. 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
35. 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
36. 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
37. 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
38. 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
39. 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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