Ha Huy Vui

Scientific Publications

Publications

1. 1. Ha Minh Lam, Ha Huy Vui, Łojasiewicz inequalities in a certain class of smooth functions, Banach Center Publications 128 (2024), 69-93. (2024)
2. 2. Ha 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. Pham Tien Son, Ha 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. Dinh Si Tiep, Ha Huy Vui, Pham Tien Son, Hölder-Type Global Error Bounds for Non-degenerate Polynomial Systems, Acta Mathematica Vietnamica, 42 (2017), 563–585 (2017)
5. 5. Ha Huy Vui, Ho Minh Toan, Positive polynomials on nondegenerate basic semi-algebraic sets,, Advances in Geometry, 16 (2016), 497-510 (2016)
6. 6. Dang Van Doat, Ha Huy Vui, Pham Tien Son, Well-Posedness in Unconstrained Polynomial Optimization Problems, SIAM Journal on Optimization 26(2016), 1411–1428 (2016)
7. 7. Ha Huy Vui, Tran Gia Loc, On the volume and the number of lattice points of some semialgebraic sets, International Journal of Mathematics, 26 (2015),13p (2015)
8. 8. Ha Huy Vui, Huynh Van Ngai, Pham Tien Son, A global smooth version of the classical Łojasiewicz inequality, Journal of Mathematical Analysis and Applications 421 (2015), 1559–1572 (2015)
9. 9. Dinh Si Tiep, Pham Tien Son, Ha Huy Vui, A Frank–Wolfe type theorem for nondegenerate polynomial programs, Mathematical Programming, 147(2014), 519-538 (2014)
10. 10. Dinh Si Tiep, Ha Huy Vui, Pham Tien Son, Nguyen Thi Thao, Global Łojasiewicz-type inequality for non-degenerate polynomial maps, Journal of Mathematical Analysis and Applications 410 (2014), 541–560 (2014)
11. 11. Ha Huy Vui, Global Holderian error bound for nondegenerate polynomials, SIAM Journal on Optimization, 23 (2013), 917 - 933 (2013)
12. 12. Dinh Si Tiep, Ha Huy Vui, Nguyen Thi Thao, Lojasiewicz inequality for polynomial functions on non-compact domains, International Journal of Mathematics, 23 (2012), 28p (2012)
13. 13. Ha Huy Vui, Nguyen Thi Thao, 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. Ha Huy Vui, Nguyen Hong Duc, On the stability of gradient polynomial systems at infinity, Nonlinear Analysis: Theory, Methods & Applications 74 (2011), 257 - 262 (2011)
15. 15. Ha Huy Vui, Nguyen Tat Thang, 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. Ha Huy Vui, Nguyen Hong Duc, Lojasiewicz inequality at infinity for polynomials in two real variables, Mathematische Zeitschrift, 266 (2010), 243 -- 264 (2010)
17. 17. Ha Huy Vui, Pham Tien Son, Reprensentations of positive polynomials and optimization on noncompact semialgebraic sets, SIAM Journal on Optimization, 20 (2010), 3082 -- 3103 (2010)
18. 18. Ha Huy Vui, Nguyen Hong Duc, Łojasiewicz exponent of the gradient near the fiber, Annales Polonici Mathematici, 96 (2009), 197-207 (2009)
19. 19. Ha Huy Vui, Nguyen Hong Duc, 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. Ha Huy Vui, Pham Tien Son, 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. Ha Huy Vui, Pham Tien Son, Critical values of singularities at infinity of complex polynomials., Vietnam J. Math. 36 (2008), 1 - 38 (2008)
22. 22. Ha Huy Vui, Nguyen Hong Duc, On the Łojasiewicz exponent near the fibre of polynomial mappings, Annales Polonici Mathematici, 94 (2008), 43 - 52. (2008)
23. 23. Ha Huy Vui, Pham Tien Son, 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. Ha Huy Vui, Pham Tien Son, On the Łojasiewicz exponent at infinity of real polynomials, Annales Polonici Mathematici, 94 (2008), 197 - 208. (2008)
25. 25. Ha Huy Vui, Nguyen Tat Thang, 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. Ha Huy Vui, Pham Tien Son, Minimizing polynomial functions, Acta Mathematica Vietnamica, 32 (2007), 71 - 82 (2007)
27. 27. Ha Huy Vui, Pham Tien Son, An estimation of the number of bifurcation values for real polynomials, Acta Mathematica Vietnamica. 32 (2007), 141 - 153 (2007)
28. 28. Ha 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. Pham Tien Son, Ha Huy Vui, On local Pareto optima of real analytic mappings, Acta Mathematica Vietnamica, 30 (2005), 191 - 202. (2005)
30. 30. Ha 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. Ha Huy Vui, Pham Tien Son, Newton-Puiseux approximation and Lojasiewicz exponents, Kodai Mathematical Journal, 26 (2003), 1 - 15 (2003)
32. 32. Ha Huy Vui, Milnor number of positive polynomials, Vietnam Journal of Mathematics, 30 (2002), 413 - 416 (2002)
33. 33. Ha 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. Ha Huy Vui, Pham Tien Son, On the topology of families of affine plane curves, Annales Polonici Mathematici, LXXI.2 (1999), 129 - 139. (1999)
35. 35. Ha Huy Vui, Pham Tien Son, Remark on the equisingularity of families of affine plane curves, Ann. Polonici Math. LXVIII.3 (1998), 273 - 280. (1998)
36. 36. Ha Huy Vui, Pham Tien Son, Invariance of the global monodromies in families of polynomials of two complex variables, Acta Mathematica Vietnamica, 22 (1997), 515 - 526. (1997)
37. 37. Ha Huy Vui, Alexandru Zaharia, Families of polynomials with total Milnor number constant, Mathematische Annalen, 304 (1996), 481 - 488. (1996)
38. 38. P. Cassou-Nogues, Ha 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. Ha 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. Ha Huy Vui, Nguyen Tu Cuong, Nguyen Huu Duc, A rostkax beskonechnoi opredelenosti, Acta Math. Vietmam. 3 (1978), 43 - 50 (1978)
41. 41. Ha Huy Vui, Nguyen Tu Cuong, Nguyen Huu Duc, Sur les germes de functions infiniment determines, C. R. Acad. Sc. Paris 285 (1977), 1045 - 1048. (1977)
42. 42. Ha Huy Vui, Nguyen Tu Cuong, Sur les germes de functions infiniment determines, C. R. Acad. Sc. Paris 285 (1977), 1045 - 1048 (1977)
43. 43. Ha Huy Vui, P. N. Knhiajev, A weak convergence of operators, Isvestia Acad. Nauk BSSR (1975), 23 - 27 (1975)

Preprints

1. 1. Ha Huy Vui, Dang Van Doat, On the Global Lojasiewicz inequality for polynomial functions (2017)