Geodesic
On quadratic Hurwitz forms. I
Applications of Mathematics, Tome 26 (1981) no. 2, pp. 142-153
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Homogeneous quadratic polynomials $f$ in $n$ complex variables are investigated and various necessary and sufficient conditions are given for $f$ to be nonzero in the set $\Gamma^{(n)}=\left\{z\in C^{(n)}:\text Re \ z>0\right\}$. Conclusions for the theory of multivariable positive real functions are formulated with applications in multivariable electrical network theory.
Homogeneous quadratic polynomials $f$ in $n$ complex variables are investigated and various necessary and sufficient conditions are given for $f$ to be nonzero in the set $\Gamma^{(n)}=\left\{z\in C^{(n)}:\text Re \ z>0\right\}$. Conclusions for the theory of multivariable positive real functions are formulated with applications in multivariable electrical network theory.
DOI : 10.21136/AM.1981.103904
Classification : 15A63, 93D20, 94C05, 94C99
Keywords: Hurwitz polynomial; electrical networks 
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Gregor, Jiří. On quadratic Hurwitz forms. I. Applications of Mathematics, Tome 26 (1981) no. 2, pp. 142-153. doi: 10.21136/AM.1981.103904

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