TY  - JOUR
U1  - Zeitschriftenartikel, wissenschaftlich - begutachtet (reviewed)
A1  - Adm, Mohammad
A1  - Garloff, Jürgen
A1  - Tyaglov, Mikhail
T1  - Total nonnegativity of finite Hurwitz matrices and root location of polynomials
JF  - Journal of Mathematical Analysis and Applications
N2  - In 1970, B.A. Asner, Jr., proved that for a real quasi-stable polynomial, i.e., a polynomial whose zeros lie in the closed left half-plane of the complex plane, its finite Hurwitz matrix is totally nonnegative, i.e., all its minors are nonnegative, and that the converse statement is not true. In this work, we explain this phenomenon in detail, and provide necessary and sufficient conditions for a real polynomial to have a totally nonnegative finite Hurwitz matrix.
KW  - Hurwitz matrix
KW  - Totally nonnegative matrix
KW  - Stable polynomial
KW  - Quasi-stable polynomial
KW  - R-function
Y1  - 2018
UN  - https://nbn-resolving.org/urn:nbn:de:bsz:kon4-opus4-14614
SN  - 0022-247X
SS  - 0022-247X
SN  - 1096-0813
SS  - 1096-0813
U6  - https://doi.org/10.1016/j.jmaa.2018.06.065
DO  - https://doi.org/10.1016/j.jmaa.2018.06.065
VL  - 467
IS  - 1
SP  - 148
EP  - 170
PB  - Elsevier
ER  -