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Malozemov, Vassili Nikolaevich
Professor
Doctor of physico-mathematical sciences (1986)
Speciality: 01.01.07 (Computing mathematics)
Birth date: 26.01.1939
E-mail:
Website: https://www.math.spbu.ru/user/malv
Keywords: Chebyshev approximations; optimization; spline theory; wavelet theory; discrete harmonic analysis.
   
Main publications:
  • Malozemov V. N. Best rational approximation on a system of intervals // Nonsmooth optimization methods and applications (ed. F. Giannessi), Gordon and Breach, Singapore, 1992, 217–227.

https://www.mathnet.ru/eng/person17606
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/298879

Publications in Math-Net.Ru Citations
2025
1. V. N. Malozemov, A. V. Plotkin, “An example of complete alternance in multidimensional case”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 12:2 (2025),  256–268  mathnet
2. V. N. Malozemov, N. A. Solovyeva, G. Sh. Tamasyan, “About the Kozinec algorithm”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 12:1 (2025),  48–63  mathnet
2024
3. V. N. Malozemov, G. Sh. Tamasyan, “Comparative analysis of Kozinec, MDM and SMO algorithms for solving the hard SVM separation problem”, Zap. Nauchn. Sem. POMI, 539 (2024),  102–119  mathnet
4. V. N. Malozemov, N. A. Solovyeva, G. Sh. Tamasyan, “The MDM algorithm and the Sylvester problem”, Zh. Vychisl. Mat. Mat. Fiz., 64:7 (2024),  1128–1144  mathnet  elib; Comput. Math. Math. Phys., 64:7 (2024), 1396–1412
2023
5. V. N. Malozemov, N. A. Solovyeva, “MDM method for solving the general quadratic problem of mathematical diagnostics”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 10:3 (2023),  516–529  mathnet
2022
6. V. N. Malozemov, G. Sh. Tamasyan, “Representations of continuous piecewise affine functions”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9:1 (2022),  53–63  mathnet; Vestn. St. Petersbg. Univ., Math., 9:1 (2022), 39–47
2021
7. V. N. Malozemov, G. Sh. Tamasyan, “Factorization of the projection matrix onto a subspace”, Zap. Nauchn. Sem. POMI, 499 (2021),  67–76  mathnet
2020
8. I. V. Agafonova, V. N. Malozemov, “Extremal polynomials connected with Zolotarev polynomials”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:1 (2020),  3–14  mathnet; Vestn. St. Petersbg. Univ., Math., 7:1 (2020), 1–9 2
2019
9. V. N. Malozemov, G. Sh. Tamasyan, “On the direction of the steepest descent”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 15:4 (2019),  489–501  mathnet 1
10. V. N. Malozemov, N. A. Solovyeva, “A generalized Gibbs' lemma and a Wardrop equilibrium”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 15:2 (2019),  199–211  mathnet  elib
11. V. N. Malozemov, G. Sh. Tamasyan, “A fast algorithm for solving a simple search problem”, Zh. Vychisl. Mat. Mat. Fiz., 59:5 (2019),  905–910  mathnet  elib; Comput. Math. Math. Phys., 59:5 (2019), 851–856  isi  scopus
2017
12. V. N. Malozemov, G. Sh. Tamasyan, “Synthesis of a rational filter in the presence of complete alternance”, Zh. Vychisl. Mat. Mat. Fiz., 57:6 (2017),  921–933  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 57:6 (2017), 919–930  isi  scopus 1
2016
13. V. N. Malozemov, G. Sh. Tamasyan, “Two fast algorithms for projecting a point onto the canonical simplex”, Zh. Vychisl. Mat. Mat. Fiz., 56:5 (2016),  742–755  mathnet  elib; Comput. Math. Math. Phys., 56:5 (2016), 730–743  isi  scopus 6
2006
14. M. I. Grigor'ev, V. N. Malozemov, A. N. Sergeev, “Bernstein polynomials and composite Bézier curves”, Zh. Vychisl. Mat. Mat. Fiz., 46:11 (2006),  1962–1971  mathnet  mathscinet; Comput. Math. Math. Phys., 46:11 (2006), 1872–1881  scopus 5
2004
15. A. V. Korovkin, V. N. Malozemov, “Ahmed–Rao Bases”, Mat. Zametki, 75:6 (2004),  834–840  mathnet  mathscinet  zmath; Math. Notes, 75:6 (2004), 780–786  isi
2003
16. V. N. Malozemov, K. Yu. Tsvetkov, “On Optimal Signal–Filter Pairs”, Probl. Peredachi Inf., 39:2 (2003),  63–74  mathnet  mathscinet  zmath; Problems Inform. Transmission, 39:2 (2003), 216–226 1
17. V. N. Malozemov, A. V. Omel'chenko, “On the construction of optimal shock wave systems”, Zh. Vychisl. Mat. Mat. Fiz., 43:4 (2003),  533–545  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:4 (2003), 508–520
2002
18. V. N. Malozëmov, M. F. Monaco, A. V. Petrov, “The Frobenius formula and Sherman–Morrison formulas and related matters”, Zh. Vychisl. Mat. Mat. Fiz., 42:10 (2002),  1459–1465  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:10 (2002), 1403–1409 3
2001
19. V. N. Malozemov, S. M. Masharsky, “Generalized wavelet bases associated with the discrete Vilenkin–Chrestenson transformation”, Algebra i Analiz, 13:1 (2001),  111–157  mathnet  mathscinet  zmath; St. Petersburg Math. J., 13:1 (2002), 75–106 16
20. V. N. Malozemov, S. M. Masharsky, K. Yu. Tsvetkov, “Frank Signal and Its Generalizations”, Probl. Peredachi Inf., 37:2 (2001),  18–26  mathnet  mathscinet  zmath; Problems Inform. Transmission, 37:2 (2001), 100–107 3
2000
21. V. A. Kirushev, V. N. Malozemov, A. B. Pevnyi, “Wavelet decomposition of the space of discrete periodic splines”, Mat. Zametki, 67:5 (2000),  712–720  mathnet  mathscinet  zmath; Math. Notes, 67:5 (2000), 603–610  isi 2
22. V. N. Malozemov, S. M. Masharsky, “Comparative Study of Two Wavelet Bases”, Probl. Peredachi Inf., 36:2 (2000),  27–37  mathnet  mathscinet  zmath; Problems Inform. Transmission, 36:2 (2000), 27–37 1
23. S. M. Masharsky, V. N. Malozemov, “Haar spectra of discrete convolutions”, Zh. Vychisl. Mat. Mat. Fiz., 40:6 (2000),  954–960  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 40:6 (2000), 914–921 3
1998
24. V. N. Malozemov, A. N. Sergeev, “Analytic foundations of polar forms”, Algebra i Analiz, 10:6 (1998),  156–185  mathnet  mathscinet  zmath; St. Petersburg Math. J., 10:6 (1999), 1015–1036
25. V. N. Malozemov, A. B. Pevnyi, A. A. Tret'yakov, “Fast Wavelet Transform for Discrete Periodic Signals and Patterns”, Probl. Peredachi Inf., 34:2 (1998),  77–85  mathnet  mathscinet  zmath; Problems Inform. Transmission, 34:2 (1998), 161–168 5
26. V. N. Malozemov, A. V. Omel'chenko, M. A. Rydalevskaya, “Entropy maximization under linear constraints”, Zh. Vychisl. Mat. Mat. Fiz., 38:9 (1998),  1509–1513  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:9 (1998), 1447–1451 2
27. V. N. Malozemov, A. B. Pevnyi, “Discrete periodic splines and their numerical applications”, Zh. Vychisl. Mat. Mat. Fiz., 38:8 (1998),  1235–1246  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:8 (1998), 1181–1192 8
1997
28. V. A. Kirushev, V. N. Malozemov, A. B. Pevnyĭ, “The dragon's tail”, Zh. Vychisl. Mat. Mat. Fiz., 37:11 (1997),  1362–1369  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:11 (1997), 1319–1327
29. V. A. Kirushev, V. N. Malozemov, “An algorithm for the construction of a nonnegative cubic spline”, Zh. Vychisl. Mat. Mat. Fiz., 37:4 (1997),  387–394  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:4 (1997), 375–382
30. O. M. Dmitrieva, V. N. Malozemov, “A fast algorithm based on the arithmetic-geometric mean”, Zh. Vychisl. Mat. Mat. Fiz., 37:3 (1997),  277–290  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:3 (1997), 274–287
1995
31. V. A. Kirushev, V. N. Malozemov, “On a contact problem”, Mat. Zametki, 58:6 (1995),  925–929  mathnet  mathscinet  zmath; Math. Notes, 58:6 (1995), 1343–1346  isi
1992
32. M. G. Ber, V. N. Malozemov, “Interpolation of Discrete Periodic Data”, Probl. Peredachi Inf., 28:4 (1992),  60–68  mathnet  mathscinet  zmath; Problems Inform. Transmission, 28:4 (1992), 351–359 1
33. M. G. Ber, V. N. Malozemov, “The best formulae for the approximate computation of discrete Fourier transforms”, Zh. Vychisl. Mat. Mat. Fiz., 32:11 (1992),  1709–1719  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 32:11 (1992), 1533–1544  isi 4
1982
34. V. N. Malozemov, A. B. Pevnyi, “The most winding monosplines”, Sibirsk. Mat. Zh., 23:2 (1982),  128–134  mathnet  mathscinet  zmath; Siberian Math. J., 23:2 (1982), 237–242  isi
1981
35. V. A. Daugavet, V. N. Malozemov, “Quadratic rate of convergence of a linearization method for solving discrete minimax problems”, Zh. Vychisl. Mat. Mat. Fiz., 21:4 (1981),  835–843  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 21:4 (1981), 19–28 9
1980
36. V. N. Malozemov, A. B. Pevnyi, “On the best quadrature formula for the class $W_1^{r+1}$”, Dokl. Akad. Nauk SSSR, 252:1 (1980),  37–40  mathnet  mathscinet  zmath 2
1979
37. V. N. Malozemov, A. B. Pevnyi, “Spline interpolation”, Mat. Zametki, 26:6 (1979),  817–822  mathnet  mathscinet  zmath; Math. Notes, 26:6 (1979), 905–908  isi
38. V. N. Malozemov, “The synthesis of a multi-band electric filter”, Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979),  601–609  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 19:3 (1979), 41–51 4
1978
39. V. N. Malozemov, A. B. Pevnyi, “Approximation by splines of arbitrary defect”, Dokl. Akad. Nauk SSSR, 243:3 (1978),  572–575  mathnet  mathscinet  zmath
40. V. N. Malozemov, A. V. Solomennikov, “The rate of convergence of the method of equalization of maxima”, Zh. Vychisl. Mat. Mat. Fiz., 18:5 (1978),  1309–1312  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 18:5 (1978), 231–235 1
1976
41. V. N. Malozemov, “The equalization of maxima”, Zh. Vychisl. Mat. Mat. Fiz., 16:3 (1976),  781–784  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 16:3 (1976), 232–236 1
1975
42. V. A. Daugavet, V. N. Malozemov, “Alternance properties of solutions of nonlinear minimax problems with nonconvex constraints”, Dokl. Akad. Nauk SSSR, 225:2 (1975),  253–255  mathnet  mathscinet  zmath 1
43. A. M. Vershik, V. N. Malozemov, A. B. Pevnyi, “Best piecewise polynomial approximation”, Sibirsk. Mat. Zh., 16:5 (1975),  925–938  mathnet  mathscinet  zmath; Siberian Math. J., 16:5 (1975), 706–717  isi 5
1973
44. V. N. Malozemov, A. B. Pevnyi, “Alternant properties of the solutions of nonlinear minimax problems”, Dokl. Akad. Nauk SSSR, 212:1 (1973),  37–39  mathnet  mathscinet  zmath 1
1971
45. V. F. Dem'yanov, V. N. Malozemov, “On the theory of non-linear minimax problems”, Uspekhi Mat. Nauk, 26:3(159) (1971),  53–104  mathnet  mathscinet  zmath; Russian Math. Surveys, 26:3 (1971), 57–115 18
1970
46. V. N. Malozemov, “The best uniform approximation of functions of several arguments”, Zh. Vychisl. Mat. Mat. Fiz., 10:3 (1970),  575–586  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 10:3 (1970), 28–43 3
1967
47. V. N. Malozemov, “Trigonometric polynomials of I. I. Èterman”, Izv. Vyssh. Uchebn. Zaved. Mat., 1967, no. 1,  63–66  mathnet  mathscinet  zmath
48. V. N. Malozemov, “The precision of the quadrature formula of rectangles for periodic functions”, Mat. Zametki, 2:4 (1967),  357–360  mathnet  mathscinet  zmath; Math. Notes, 2:4 (1967), 703–705 3
49. V. N. Malozemov, “On polygonal interpolation”, Mat. Zametki, 1:5 (1967),  537–540  mathnet  mathscinet  zmath; Math. Notes, 1:5 (1967), 355–357 8
1966
50. V. N. Malozemov, “Joint approximation of a function and its derivatives by algebraic polynomials”, Dokl. Akad. Nauk SSSR, 170:4 (1966),  773–775  mathnet  mathscinet  zmath
51. V. N. Malozemov, “On a sequence of functionals”, Izv. Vyssh. Uchebn. Zaved. Mat., 1966, no. 2,  70–77  mathnet  mathscinet  zmath
2002
52. V. V. Zhuk, V. N. Malozemov, G. I. Natanson, V. P. Havin, “Viktor Solomonovich Videnskii (on his 80th birthday)”, Uspekhi Mat. Nauk, 57:5(347) (2002),  182–186  mathnet  mathscinet  zmath; Russian Math. Surveys, 57:5 (2002), 1033–1038  isi

Presentations in Math-Net.Ru
1. Professor Mark Konstantinovich Gavurin. To the 110th anniversary of his birth
V. N. Malozemov, V. M. Ryabov
Seminar on the History of Mathematics
March 3, 2022 18:00   
2. Chebyshev approximations
V. N. Malozemov
Seminar on the History of Mathematics
May 20, 2021 18:00   

Organisations