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🆕 Date Issued:
2003-04-10
🗄 Date Available:2021-12-17
Research Paper

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M-matrices satisfy Newton's inequalities

Holtz, Olga

Inst. Mathematik

Newton's inequalities $c_n^2\geq c_{n-1} c_{n+1}$ are shown to hold for the normalized coefficients $c_n$ of the characteristic polynomial of any $M$- or inverse $M$-matrix. They are derived by establishing first an auxiliary set of inequalities also valid for both of these classes.
M-matricesNewton's inequalitiesimmanantal inequalitiesgeneralized matrix functionsquadratic formsbinomial identities
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