Dimitrov, D. K.Pena, J. M.2014-05-202014-05-202005-02-01Journal of Approximation Theory. San Diego: Academic Press Inc. Elsevier B.V., v. 132, n. 2, p. 212-223, 2005.0021-9045http://hdl.handle.net/11449/21728We establish sufficient conditions for a matrix to be almost totally positive, thus extending a result of Craven and Csordas who proved that the corresponding conditions guarantee that a matrix is strictly totally positive. Then we apply our main result in order to obtain a new criteria for a real algebraic polynomial to be a Hurwitz one. The properties of the corresponding extremal Hurwitz polynomials are discussed. (C) 2004 Elsevier B.V. All rights reserved.212-223engtotally positive matrixstrictly totally positive matrixshadows' lemmaHurwitz polynomialentire function in the Laguerre-Polya classArtigo10.1016/j.jat.2004.10.010WOS:000227196700004Acesso abertoWOS000227196700004.pdf1681267716971253