Hà Huy Vui

Hà Huy Vui

PGS. TSKH.

Hướng nghiên cứu: Phân thớ milnor toàn cục, định lý dương và ứng dụng trong tối ưu đa thức

Các công bố khoa học

Ấn phẩm

  1. 1. Hà Minh Lam, Hà Huy Vui, Łojasiewicz inequalities in a certain class of smooth functions, Banach Center Publications 128 (2024), 69-93. (2024)
  2. 2. Hà Huy Vui, Computation of the Łojasiewicz exponent for a germ of a smooth function in two variables, Studia Mathematica 240 (2018), 161-176 (2018)
  3. 3. Phạm Tiến Sơn, Hà Huy Vui, Genericity in polynomial optimization. With a foreword by Jean Bernard Lasserre, . Series on Optimization and its Applications, 3. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2017. xix+240 pp. ISBN: 978-1-78634-221-8. (2017)
  4. 4. Đinh Sĩ Tiệp, Hà Huy Vui, Phạm Tiến Sơn, Hölder-Type Global Error Bounds for Non-degenerate Polynomial Systems, Acta Mathematica Vietnamica, 42 (2017), 563–585 (2017)
  5. 5. Hà Huy Vui, Hồ Minh Toàn, Positive polynomials on nondegenerate basic semi-algebraic sets,, Advances in Geometry, 16 (2016), 497-510 (2016)
  6. 6. Đặng Văn Đoạt, Hà Huy Vui, Phạm Tiến Sơn, Well-Posedness in Unconstrained Polynomial Optimization Problems, SIAM Journal on Optimization 26(2016), 1411–1428 (2016)
  7. 7. Hà Huy Vui, Trần Gia Lộc, On the volume and the number of lattice points of some semialgebraic sets, International Journal of Mathematics, 26 (2015),13p (2015)
  8. 8. Hà Huy Vui, Huỳnh Văn Ngãi, Phạm Tiến Sơn, A global smooth version of the classical Łojasiewicz inequality, Journal of Mathematical Analysis and Applications 421 (2015), 1559–1572 (2015)
  9. 9. Đinh Sĩ Tiệp, Phạm Tiến Sơn, Hà Huy Vui, A Frank–Wolfe type theorem for nondegenerate polynomial programs, Mathematical Programming, 147(2014), 519-538 (2014)
  10. 10. Đinh Sĩ Tiệp, Hà Huy Vui, Phạm Tiến Sơn, Nguyễn Thị Tha̓o, Global Łojasiewicz-type inequality for non-degenerate polynomial maps, Journal of Mathematical Analysis and Applications 410 (2014), 541–560 (2014)
  11. 11. Hà Huy Vui, Global Holderian error bound for nondegenerate polynomials, SIAM Journal on Optimization, 23 (2013), 917 - 933 (2013)
  12. 12. Đinh Sĩ Tiệp, Hà Huy Vui, Nguyễn Thị Tha̓o, Lojasiewicz inequality for polynomial functions on non-compact domains, International Journal of Mathematics, 23 (2012), 28p (2012)
  13. 13. Hà Huy Vui, Nguyễn Thị Tha̓o, Atypical values at infinity of polynomial and rational functions on an alfebraic surface in $\mathbb R^n$, Acta Mathematica Vietnamica 36 (2011), 537 - 553 (2011)
  14. 14. Hà Huy Vui, Nguyễn Hồng Đức, On the stability of gradient polynomial systems at infinity, Nonlinear Analysis: Theory, Methods & Applications 74 (2011), 257 - 262 (2011)
  15. 15. Hà Huy Vui, Nguyễn Tất Thắng, On the topology of polynomial mappings from $\mathbb C^n$ to $\mathbb C^{n-1}$, International Journal of Mathematics 22 (2011), 435 - 448 (2011)
  16. 16. Hà Huy Vui, Nguyễn Hồng Đức, Lojasiewicz inequality at infinity for polynomials in two real variables, Mathematische Zeitschrift, 266 (2010), 243 -- 264 (2010)
  17. 17. Hà Huy Vui, Phạm Tiến Sơn, Reprensentations of positive polynomials and optimization on noncompact semialgebraic sets, SIAM Journal on Optimization, 20 (2010), 3082 -- 3103 (2010)
  18. 18. Hà Huy Vui, Nguyễn Hồng Đức, Łojasiewicz exponent of the gradient near the fiber, Annales Polonici Mathematici, 96 (2009), 197-207 (2009)
  19. 19. Hà Huy Vui, Nguyễn Hồng Đức, A formula for the Łojasiewicz exponent at infinity in the real plane via real approximations, Hokkaido Math. J., 38 (2009), 417-425 (2009)
  20. 20. Hà Huy Vui, Phạm Tiến Sơn, Solving polynomial optimization problems via the truncated tangency variety and sums of square, Journal of Pure and Applied Algebra, 213 (2009), 2167-2176. (2009)
  21. 21. Hà Huy Vui, Phạm Tiến Sơn, Critical values of singularities at infinity of complex polynomials., Vietnam J. Math. 36 (2008), 1 - 38 (2008)
  22. 22. Hà Huy Vui, Nguyễn Hồng Đức, On the Łojasiewicz exponent near the fibre of polynomial mappings, Annales Polonici Mathematici, 94 (2008), 43 - 52. (2008)
  23. 23. Hà Huy Vui, Phạm Tiến Sơn, Global optimization of polynomials using the truncated tangency variety and sums of squares, SIAM Journal on Optimization, 19 (2008), N0 2, 941 - 951. (2008)
  24. 24. Hà Huy Vui, Phạm Tiến Sơn, On the Łojasiewicz exponent at infinity of real polynomials, Annales Polonici Mathematici, 94 (2008), 197 - 208. (2008)
  25. 25. Hà Huy Vui, Nguyễn Tất Thắng, On the topology of polynomial functions on algebraic surfaces in $\mathbb C^n$, In: Singularities II, 61 - 67, Contemp. Math., 475, Amer. Math. Soc., Providence, RI, 2008. (2008)
  26. 26. Hà Huy Vui, Phạm Tiến Sơn, Minimizing polynomial functions, Acta Mathematica Vietnamica, 32 (2007), 71 - 82 (2007)
  27. 27. Hà Huy Vui, Phạm Tiến Sơn, An estimation of the number of bifurcation values for real polynomials, Acta Mathematica Vietnamica. 32 (2007), 141 - 153 (2007)
  28. 28. Hà Huy Vui, Bifurcation set of the global Milnor fibration, . In: Polynomial automorphisms and related topics, 137 - 158, Publishing House for Science and Technology, Hanoi, 2007 (2007)
  29. 29. Phạm Tiến Sơn, Hà Huy Vui, On local Pareto optima of real analytic mappings, Acta Mathematica Vietnamica, 30 (2005), 191 - 202. (2005)
  30. 30. Hà Huy Vui, Degree of C0-sufficiency of an analytic germ with respect to a principal ideal, Vietnam Journal of Mathematics, 32 (2004), 13 - 19. (2004)
  31. 31. Hà Huy Vui, Phạm Tiến Sơn, Newton-Puiseux approximation and Lojasiewicz exponents, Kodai Mathematical Journal, 26 (2003), 1 - 15 (2003)
  32. 32. Hà Huy Vui, Milnor number of positive polynomials, Vietnam Journal of Mathematics, 30 (2002), 413 - 416 (2002)
  33. 33. Hà Huy Vui, Infimum of polynomials and singularity at infinity, In: From local to global optimization (Rimforsa, 1997), 187 - 204, Nonconvex Optimization and Its Applications,53, Kluwer Acad. Publ., Dordrecht, 2001 (2001)
  34. 34. Hà Huy Vui, Phạm Tiến Sơn, On the topology of families of affine plane curves, Annales Polonici Mathematici, LXXI.2 (1999), 129 - 139. (1999)
  35. 35. Hà Huy Vui, Phạm Tiến Sơn, Remark on the equisingularity of families of affine plane curves, Ann. Polonici Math. LXVIII.3 (1998), 273 - 280. (1998)
  36. 36. Hà Huy Vui, Phạm Tiến Sơn, Invariance of the global monodromies in families of polynomials of two complex variables, Acta Mathematica Vietnamica, 22 (1997), 515 - 526. (1997)
  37. 37. Hà Huy Vui, Alexandru Zaharia, Families of polynomials with total Milnor number constant, Mathematische Annalen, 304 (1996), 481 - 488. (1996)
  38. 38. P. Cassou-Nogues, Hà Huy Vui, Theoreme de Kuiper-Kuo-Bochnak-Lojasiewicz a l'infini, Ann. Sci. Toulouse, Serie 6, Vol 5, Fascicule 3 (1996), 387 - 406. (1996)
  39. 39. Hà Huy Vui, Sur les points doptimum de Pareto local à determination finie ou infinie, C. R. Acad. Sci. Paris Serie A, 290 (1980), 685 - 688 (1980)
  40. 40. Hà Huy Vui, Nguyễn Tự Cường, Nguyễn Hữu Đức, A rostkax beskonechnoi opredelenosti, Acta Math. Vietmam. 3 (1978), 43 - 50 (1978)
  41. 41. Hà Huy Vui, Nguyễn Tự Cường, Nguyễn Hữu Đức, Sur les germes de functions infiniment determines, C. R. Acad. Sc. Paris 285 (1977), 1045 - 1048. (1977)
  42. 42. Hà Huy Vui, Nguyễn Tự Cường, Sur les germes de functions infiniment determines, C. R. Acad. Sc. Paris 285 (1977), 1045 - 1048 (1977)
  43. 43. Hà Huy Vui, P. N. Knhiajev, A weak convergence of operators, Isvestia Acad. Nauk BSSR (1975), 23 - 27 (1975)

Tiền ấn phẩm

  1. 1. Hà Huy Vui, Đặng Văn Đoạt, On the Global Lojasiewicz inequality for polynomial functions (2017)