Hristo Sendov

Associate Professor
Office: WSC 205
Phone: 519-661-2111 x86985
Email: hsendov@uwo.ca


 

M.Sc. in Mathematics, Sofia University, 1994
M.Sc. in Mathematics, Michigan Technological University, 1996
Ph.D. in Optimization, University of Waterloo, 2001
M.A. in Mathematical Finance, University of Waterloo, 2002

Research Areas

  • Mathematics

Graduate Students Supervision

 

Publication

 

  • Ph. Braun and H.S. Sendov, ‘On the Hadamard-Fischer’s Inequality, the Inclusion-Exclusion Formula, and Bipartite Graphs’, Linear Algebra and its Applications, 668(1), 64–92 (2023).

  • S. Bridaa, W. Jedidi, and H.S. Sendov, ‘Generalized unimodality and subordinators, with applications to sta- ble laws and to the Mittag-Leffler function’, 31 pages, accepted in Journal of Theoretical Probability (2023). doi.org/10.1007/s10959-023-01242-z

  • H.S. Sendov and J. Xiao, ‘Complex multi-affine polynomials and invariant circles’, 29 pages, 523(2) Journal of Mathematical Analysis and its Applications, (2023). doi.org/10.1016/j.jmaa.2023.127076

  • H.S. Sendov and J. Xiao, ‘Coninvolutory matrices, multi-affine polynomials, and invariant circles’, Journal of Linear and Multilinear Algebra, 71(6), 911—944, (2023). doi.org/10.1080/03081087.2022.2049185

  • H.S. Sendov and J. Xiao, ‘On Loci of Complex Polynomials of degree three’, accepted in Journal of Mathematical Analysis and Applications, 495(2), 21 pages (2021). doi.org/10.1016/j.jmaa.2020.124767

  • H.S. Sendov, ‘Refinements of the Gauss-Lucas theorem using rational lemniscates and polar convexity’, Proceedings of the American Mathematical Society, 149, 5179–5193 (2021).

  • Bl. Sendov and H.S. Sendov, ‘Sector analogue of the Gauss-Lucas theorem’, Canadian Journal of Mathematics, 73(2), 318–338 (2021).

  • Bl. Sendov and H.S. Sendov, ‘Sets in the complex plane mapped into convex ones by M ̈obius transformations’, Journal of Convex Analysis, 27 (3), 3, 791–810 (2020).

  • Bl. Sendov and H.S. Sendov, ‘Further Strengthening of Rolle’s theorem for complex polynomials’, Constructive Approximation, 52, 341–356 (2020).

  • Bl. Sendov and H.S. Sendov, 'Duality between loci of complex polynomials and the zeros of polar derivatives', Mathematical Proceedings of the Cambridge Philosophical Society, 167(1) 65-87 (2019).

  • Jiang, M.S. Mousavi, and H.S. Sendov, 'On the analyticity of k-isotropic functions', Linear and Multilinear Algebra, 67(2) 228-247 (2019).

  • Bl. Sendov, H.S. Sendov and Ch. Wang, 'Polar convexity and critical points of polynomials', Journal of Convex Analysis, 26(2) 635-660 (2019).

  • Jiang and H.S. Sendov, 'On differentiability of a class of orthogonally invariant functions on several operator variables', Operators and Matrices, 12(3) 711-721 (2018).

  • Bl. Sendov and H.S. Sendov, 'Stronger Rolle's Theorem for Complex Polynomials', Proceedings of the American Mathematical Society, 146(8), 3367-3380 (2018).

  • T. Jiang and H.S. Sendov, 'A unified approach to operator monotone functions', Linear Algebra and its Applications, 541, 185-210 (2018).

  • M.S. Mousavi and H.S. Sendov, 'A unified approach to spectral and isotropic functions', SIAM Journal on Matrix Analysis and Applications, 39(2), 632-663 (2018).

  • H.S. Sendov and J. Xiao, 'Tauberian theorems for the mean of Lebegue-Stieltjes integrals', Serdica Mathematical Journal, 43, 293-320 (2017).

  • Bl. Sendov and H.S. Sendov, 'Separation of the critical points of a polynomial' Proceedings of the Bulgarian Academy of Sciences, 70(5), 607-610 (2017).

  • Bl. Sendov and H.S. Sendov, 'On the zeros and critical points of polynomials with non-negative coefficients: a non-convex analogue of the Gauss-Lucas theorem', Constructive Approximation, 46(2), 305-317 (2017).

  • Bl. Sendov and H.S. Sendov, 'Two Walsh-type theorems for the solutions of multi-affine symmetric polynomi- als', Progress in Approximation Theory and Applicable Complex Analysis: In Memory of Q.I. Rahman, (Govil, N., Mohapatra, R., Qazi, M., Schmeisser, G. eds.) Springer Optimization and Its Applications, 117, 145-162 (2017).

  • Daniilidis, J. Malick, and H.S. Sendov, 'Spectral (isotropic) manifolds and their dimension,' Journal d'Analyse Mathematique, 128(1) 369-397 (2016).

  • H.S. Sendov and Sh. Shan, 'Properties of completely monotone and Bernstein functions related to the shape of their measures,' Journal of Convex Analysis, 23(4), 981-1015 (2016).

  • Sendov, H. S. and Ames, B. (2016). Derivatives of compound matrix-valued functions. Journal of Mathematical Analysis and Applications, 433(2) 1459-1485.

  • Sendov, H. S. and Shan, S.* (2016). Properties of completely monotone and Bernstein functions related to the shape of their measures. Journal of Convex Analysis, 23(4) 981-1015.

  • B.P.W. Ames and H.S. Sendov, 'Derivatives of compound matrix-valued functions', Journal of Mathematical Analysis and Applications, 433(2), 1459- 1485 (2016).

  • Ch. Planiden and H.S. Sendov, 'Some Geometric Properties of the Solutions of Complex Multi-Affine Polynomials of Degree Three,' Journal of Mathematical Analysis and Applications, 426(1), 312-329 (2015).

  • Bl. Sendov and H.S. Sendov, 'Loci of complex polynomials, part II: polar derivatives,' Mathematical Proceedings of the Cambridge Philosophical Society, 159(2), 253-273 (2015).

  • Daniilidis, J. Malick, and H.S. Sendov, 'On the structure of locally symmetric manifolds,' Journal of Convex Analysis, 22(2), 399-426 (2015).

  • H.S. Sendov and Sh. Shan, 'New representation theorems for completely monotone and Bernstein functions with convexity properties on their measures,' Journal of Theoretical Probability, 28(4), 1689-1725 (2015).

  • Bl. Sendov and H.S. Sendov, 'Loci of complex polynomials, part I,' Transactions of the American Mathematical Society, 366(10), 5155-5184 (2014).

  • H.S. Sendov and R. Zitikis, 'The Shape of the Borwein-Affleck-Girgensohn Function Generated by Completely Monotone and Bernstein Functions,' Journal of Optimization Theory and Applications, 160, 67-89 (2014).

  • L.H. Yue, W. He, D. Murdoch, and H.S. Sendov, 'Building Cost-efficient Models using BLARS Method,' Journal of Biometrics and Biostatistics, 4(5):177,  doi:10.4172/2155-6180.1000177  (2013).

  • Bl. Sendov and H.S. Sendov, 'Extension of apolarity and Grace theorem,' Mathematica Balkanica New Series, 27(1-2), 77-87 (2013).

  • B.P.W. Ames and H.S. Sendov, 'A new derivation of a formula by Kato,' Linear Algebra and Its Applications, 436, 722-730 (2012).

  • Labb ́e,, H.S. Sendov, and K.P. Sendova, 'The Gerber-Shiu function and the generalized Cramer-Lundberg model,' Applied Mathematics and Computation, 218, 3035-3056 (2011).

  • H.S. Sendov, Y. Wang, and R. Zitikis, 'Log-supermodularity of weight functions, ordering weighted losses, and the loading monotonicity of weighted premiums,' Insurance Mathematics and Economics, 48, 257-264 (2011).

  • J. Pen ̃a and H.S. Sendov, 'Spectral self-concordant functions in the space of two by two symmetric matrices,' Optimization, 60(4), 441-449 (2011).

  • B.P.W. Ames and H.S. Sendov, 'Asymptotic expansions of the ordered spectrum of symmetric matrices,' Nonlinear Analysis, Series A: Theory, Methods & Applications, 72(11), 4288-4297 (2010).

  • Fischer and H.S. Sendov, 'On Malamud majorization and the extreme points of its level sets,' Journal of Convex Analysis, 17(2), 485-507 (2010).

  • J. Pen ̃a and H.S. Sendov, 'Separable self-concordant spectral functions and a conjecture of Tuncel,' Mathematical Programming, Series A, 125(1), 101-122 (2010).

  • H.S. Sendov, 'Pirates of democracy,' (in Bulgarian) Matematika Plus, 1, 70-72 (2010).

  • Daniilidis, A.S. Lewis, J. Malick, and H.S. Sendov, 'Prox-regularity of spectral functions and spectral sets,' Journal of Convex Analysis, 15(3), 547-560 (2008).

  • H.S. Sendov, 'Nonsmooth analysis of Lorentz invariant functions,' SIAM Journal on Optimization, 18(1), 1106- 1127 (2007).

  • H.S. Sendov, 'The higher-order derivatives of spectral functions,' Linear Algebra and its Applications, 424(1), 240-281 (2007).

  • Malick and H.S. Sendov, 'Clarke generalized Jacobian of the projection onto the cone of positive semidefinite matrices,' Set-Valued Analysis, 14(3), 273-293 (2006).

  • H.H. Bauschke, D.A. McLaren and H.S. Sendov, 'Fitzpatrick functions: inequalities, examples and remarks on a problem by S. Fitzpatrick,' Journal of Convex Analysis, 13(3/4), 499-523 (2006).

  • H.S. Sendov, 'Generalized Hadamard product and the derivatives of spectral functions,' SIAM Journal of Matrix Analysis and Applications, 28(3), 667-681 (2006).

  • A.S. Lewis and H.S. Sendov, 'Nonsmooth analysis of singular values. Part II: Applications,' Set-Valued Analysis, 13(3), 243-264 (2005).

  • A.S. Lewis and H.S. Sendov, 'Nonsmooth analysis of singular values. Part I: Theory,' Set-Valued Analysis, 13(3), 213-241 (2005).

  • A.S. Lewis and H.S. Sendov, 'Quadratic expansions of spectral functions,' Linear Algebra and its Applications, 340, 97-121 (2002).

  • H.S. Sendov, 'Variational spectral analysis. Thesis (Ph.D.),' University of Waterloo (Canada) 298 pp., ISBN: 978-0612-85348-5, (2001).

  • A.S. Lewis and H.S. Sendov, 'Twice differentiable spectral functions,' SIAM Journal on Matrix Analysis and Applications, 23, 368-386 (2001).

  • A.S. Lewis and H.S. Sendov, 'Self-concordant barriers for hyperbolic means,' Mathematical Programming, Series A, 91, 1-10 (2001).

  • H.H. Bauschke, O. Gu?ler, A.S. Lewis and H.S. Sendov, 'Hyperbolic polynomials and convex analysis,' Canadian Journal of Mathematics, 53, 470- 488 (2001).