TY  - JOUR
U1  - Zeitschriftenartikel, wissenschaftlich - begutachtet (reviewed)
A1  - Al-Saafin, Doaa
A1  - Garloff, Jürgen
T1  - Sufficient conditions for symmetric matrices to have exactly one positive eigenvalue
JF  - Special Matrices
N2  - Let A = [a_ij] be a real symmetric matrix. If f:(0,oo)-->[0,oo) is a Bernstein function, a sufficient condition for the matrix [f(a_ij)] to have only one positive eigenvalue is presented. By using this result, new results for a symmetric matrix with exactly one positive eigenvalue, e.g., properties of its Hadamard powers, are derived.
KW  - Bernstein function
KW  - Hadamard power
KW  - Hadamard inverse
KW  - Infinitely divisible matrix
KW  - Conditionally negative semidefinite matrix
Y1  - 2020
SN  - 2300-7451
SS  - 2300-7451
U6  - https://doi.org/10.1515/spma-2020-0009
DO  - https://doi.org/10.1515/spma-2020-0009
VL  - 8
IS  - 1
SP  - 98
EP  - 103
PB  - De Gruyter
CY  - Warsaw
ER  -