Perron-Frobenius theorem for nonnegative multilinear forms and extensions
- Publisher: Elsevier BV
Linear Algebra and its Applications,
Geometry and Topology | Numerical Analysis | Algebra and Number Theory | Mathematics - Spectral Theory | 15A48, 47H07, 47H09, 47H10 | Discrete Mathematics and Combinatorics | Mathematics - Numerical Analysis
We prove an analog of Perron-Frobenius theorem for multilinear forms with nonnegative coefficients, and more generally, for polynomial maps with nonnegative coefficients. We determine the geometric convergence rate of the power algorithm to the unique normalized eigenve...