-
Bl. Sendov and H.S. Sendov, Sets in the complex plane mapped into convex ones by Mobius transformations, submitted 19 pages (2018).
-
Bl. Sendov and H.S. Sendov, and Ch. Wang, Polar convexity and critical points of polynomials, submitted 24 pages (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).
-
Bl. Sendov and H.S. Sendov, Sector Analogue of the Gauss-Lucas Theorem, submitted (2017).
-
Bl. Sendov and H.S. Sendov, Duality between loci of complex polynomials and the zeros of polar derivatives, submitted, 23 pages (2017).
-
H.S. Sendov and J. Xiao, Tauberian theorems for the mean of Lebegue-Stieltjes integrals, submitted (2017).
-
T. Jiang and H.S. Sendov, On differentiability of a class of orthogonally invariant functions on several operator variables, Operators and Matrices, accepted 11 pages (2017).
-
T. Jiang and H.S. Sendov, A unified approach to operator monotone functions, submitted, Linear Algebra and its Applications, accepted 21 pages (2017).
-
T. Jiang, M.S. Mousavi, and H.S. Sendov, On the analyticity of k-isotropic functions, Linear and Multilinear Algebra, accepted 17 pages (2017).
-
M.S. Mousavi and H.S. Sendov, A unified approach to spectral and isotropic functions, SIAM Journal on Matrix Analysis, accepted 31 pages (2017).
-
Bl. Sendov and H.S. Sendov, Separation of the Critical Points of a Polynomial, Proceedings of the Bulgarian Academy of Sciences, 5(70), (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 polynomials, Progress in Approximation Theory and Applicable Complex Analysis - In the Memory of Q.I. Rahman, Springer-Verlag series in “Optimization and Its Applications”, 117, 145--162 (2017).
-
A. Daniilidis, J. Malick, and H.S. Sendov, Spectral (isotropic) manifolds and their dimension, to appear in Journal d’Analyse Mathematique, 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).
-
B.P.W. Ames and H.S. Sendov, Derivatives of compound matrix-valued functions, accepted in 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).
-
A. Daniilidis, J. Malick, and H.S. Sendov, On the structure of Locally symmetric manifolds, to appear in 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, 10(366) 5155--5184 (2014).
-
H.S. Sendov and R. Zitikis, The shape of the Borwein-Affleck-Girgensohn function generated by completely monotone and Bernstein functions, to appear in Journal of Optimization Theory and Applications, 160:67–89 (2014).
-
L. Yue, D. Murdoch, W. He, and H.S. Sendov, Cost-efficient Variable Selection Using Branching LARS, Journal of Biometrics and Biostatistics, 4:177, doi:10.4172/2155-6180.1000177 (2013).
-
Bl. Sendov and H.S. Sendov, Extension of apolarity and Grace theorem, to appear in Mathematica Balcanica, (2012).
-
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).
-
H.S. Sendov, Y. Wang, and R. Zitikis, Log-supermodularity of weight functions and the loading monotonicity of weighted insurance premiums, submitted in Insurance Mathematics and Economics, 48 257--254 (2011).
-
C. Labbe, 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).
-
J. Pena, 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 operators, Nonlinear Analysis, Series A: Theory, Methods & Applications, 72(11) 4288--4297 (2010).
-
P. 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. Pena, and H.S. Sendov, Separable self-concordant spectral functions and a conjecture of Tuncel, Mathematial Programming, Series A, 125(1) 101--122 (2010).
-
A. 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(3) 1106--1127 (2007).
-
H.S. Sendov, The Higher-Order Derivatives of Spectral Functions, Linear Algebra and its Applications 424(1) 240--281 (2007).
-
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 28(3) 667--681 (2006).
-
J. 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).
-
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. Bauschke, O. Guler, A.S. Lewis and H.S. Sendov, Hyperbolic polynomials and convex analysis (short version) Canadian Journal of Mathematics 53 470--488 (2001).
-
H. Bauschke, O. Guler, A.S. Lewis and H.S. Sendov, Hyperbolic polynomials and convex analysis (long version) Research report CORR 98--29 (2001).
-
A.S. Lewis and H.S. Sendov, Twice differentiable spectral functions, SIAM Journal on Matrix Analysis on Matrix Analysis and Applications 23 368--386 (2001).
-
A.S. Lewis and H.S. Sendov, Self-concordant barriers for hyperbolic means, Mathematical Programming 91 1--10 (2001).