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Department of Statistical and Actuarial Sciences
Center of Actuarial Excellence (CAE)
People

Associate Professor

Dr. Hristo Sendov
Office WSC 205
Phone519-661-2111 ext 86985
Emailhsendov@uwo.ca
Website http://www.stats.uwo.ca/faculty/hssendov/Main.html

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
Publications
  • Sendov, B. and Sendov, H. S. (2017). Two Walsh-type theorems for the solutions of multi-affine symmetric polynomials. Progress in Approximation Theory and Applicable Complex Analysis - In the Memory of Q.I. Rahman, 117 145-162.
  • Sendov, H. S. and Sendov, B. (2017). 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.
  • Sendov, H. S. and Sendov, B. (2017). Separation of the Critical Points of a Polynomial. Proceedings of the Bulgarian Academy of Sciences, 70 .
  • Mousavi, M.* and Sendov, H. S. (2017). A unified approach to spectral and isotropic functions. SIAM Journal of Matrix Analysis , accepted 31 pages.
  • Mousavi, M.*, Sendov, H. S. and Jiang, T.* (2017). On the analyticity of k-isotropic functions. Applied Mathematics and Computation, accepted 17 pages.
  • Sendov, H. S. and Jiang, T.* (2017). A unified approach to operator monotone functions. Linear Algebra and Its Applications , accepted 21 pages.
  • Sendov, H. S. and Jiang, T.* (2017). On differentiability of a class of orthogonally invariant functions on several operator variables. Operators and Matrices, accepted 11 pages.
  • Sendov, H. S. and Sendov, B. (2017). Stronger Rolle's Theorem for Complex Polynomials. Proceedings of the American Mathematical Society, accepted 13 pages.
  • 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.
  • Daniilidis, A., Malick, J. and Sendov, H. S. (2016). Spectral (isotropic) manifolds and their dimension. Journal d'Analyse Mathematique, 128 369-397.
  • Sendov, H. S. and Shan, S.* (2015). New representation theorems for completely monotone and Bernstein functions with convexity properties on their measures. Journal of Theoretical Probability, 28(4) 1689-1725.
  • Sendov, H. S., Daniilidis, A. and Malick, J. (2015). On the structure of locally symmetric manifolds. Journal of Convex Analysis , 22(2) 399-426.
  • Sendov, H. S. and Sendov, B. (2015). Loci of complex polynomials, part II: polar derivatives. Mathematical Proceedings of the Cambridge Philosophical Society, 159(2) 253-273.
  • Sendov, H. S. and Planiden, C.* (2015). Some Geometric Properties of the Solutions of Complex Multi-Affine Polynomials of Degree Three. Journal of Mathematical Analysis and Applications, 426(1) 312-329.
  • Sendov, H. S. and Zitikis, R. (2014). The Shape of the Borwein-Affleck-Girgensohn Function Generated by Completely Monotone and Bernstein Functions. Journal of Optimization Theory and Applications, 160 67-89.
  • Sendov, H. S. and Sendov, B. (2014). Loci of complex polynomials, part I. Transactions of the American Mathematical Society, 10(366) 5155-5184.
  • Sendov, H. S., He, W., Murdoch, D. and Yue, L. H.* (2013). Building Cost-efficient Models using BLARS Method. Journal of Biometrics and Biostatistics, 4(5):177 doi:10.4172/2155-6180.1000177.
  • Sendov, H. S. and Ames, B. (2012). A new derivation of a formula by Kato. Linear Algebra and Its Applications , 436 722-730.
  • Sendov, H. S. and Sendov, B. (2012). Extension of apolarity and Grace theorem. Mathematica Balkanica, 27 1-2.
  • Sendov, H. S. and Pena, J. (2011). Spectral self-concordant functions in the space of two by two symmetric matrices. Optimization, 60(4) 441-449.
  • Sendov, H. S., Wang, Y.* and Zitikis, R. (2011). Log-supermodularity of weight functions, ordering weighted losses, and the loading monotonicity of weighted premiums. Insurance Mathematics and Economics, 48 257-264.
  • Sendov, H. S., Labbe, C. and Sendova, K. (2011). The Gerber-Shiu function and the generalized Cramer-Lundberg model. Applied Mathematics and Computation, 218 3035-3056.
  • Sendov, H. S. (2010). Pirates of democracy. Mathematika Plus, 1 70-72.
  • Sendov, H. S. and Pena, J. (2010). Separable self-concordant spectral functions and a conjecture of Tuncel. Mathematical Programming, Series A, 125(1) 101-122.
  • Sendov, H. S. and Fischer, P. (2010). On Malamud majorization and the extreme points of its level sets. Journal of Convex Analysis , 17(2) 485-507.
  • Sendov, H. S. and Ames, B. (2010). Asymptotic expansions of the ordered spectrum of symmetric matrices. Nonlinear Analysis, Series A: Theory, Methods and Applications, 72(11) 4288-4297.
  • Daniilidis, A., Lewis, A., Malick, J. and Sendov, H. S. (2008). Prox-regularity of spectral functions and spectral sets. Journal of Convex Analysis , 15 547-560.
  • Sendov, H. S. (2007). Nonsmooth analysis of Lorentz invariant functions. SIAM Journal on Optimization , 18(3) 1106-1127.
  • Sendov, H. S. (2007). The higher-order derivatives of spectral functions. Linear Algebra and Its Applications , 424(1) 240-281.
  • Bauschke, H., McLaren, D. A. . and Sendov, H. S. (2006). Fitzpatrick functions: Inequalities, examples, and remarks on a problem by S. Fitzpatrick. Journal of Convex Analysis , 13(3/4) 499-523.
  • Sendov, H. S. (2006). Generalized Hadamard product and the derivatives of spectral functions. SIAM Journal of Matrix Analysis , 28(3) 667-681.
  • Malick, J. and Sendov, H. S. (2006). Clarke generalized Jacobian of the projection onto the cone of positive semidefinite matrices. Set-Valued Analysis , 14(3) 273-293.
  • Lewis, A. and Sendov, H. S. (2005). Nonsmooth analysis of singular values. Part II: Applications. Set-Valued Analysis , 13(3) 243-264.
  • Lewis, A. and Sendov, H. S. (2005). Nonsmooth analysis of singular values. Part I: Theory. Set-Valued Analysis , 13(3) 213-241.
  • Sendov, H. S. and Lewis, A. (2002). Quadratic expansions of spectral functions. Linear Algebra and Its Applications , 340 97-121.
  • Sendov, H. S., Guler, O. and Lewis, A. (2001). Hyperbolic polynomials and convex analysis. Canadian Journal of Mathematics, 53 470-488.
  • Sendov, H. S. and Lewis, A. (2001). Self-concordant barriers for hyperbolic means. Mathematical Programming, Series A, 91 1-10.
  • Sendov, H. S. and Lewis, A. (2001). Twice differentiable spectral functions. SIAM Journal of Matrix Analysis , 23 368-386.