A method of calculating the spectral radius of a nonnegative matrix and its applications (Q5940584)
From MaRDI portal
scientific article; zbMATH DE number 1632019
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A method of calculating the spectral radius of a nonnegative matrix and its applications |
scientific article; zbMATH DE number 1632019 |
Statements
A method of calculating the spectral radius of a nonnegative matrix and its applications (English)
0 references
9 August 2001
0 references
The determination of the spectral radius \(\lambda(A)\) of a nonnegative matrix \(A\) is formulated as a geometric programming problem. The dual problem is given. A method for calculating \(\lambda(A)\) based on a linear optimization is proposed. In addition several lower bounds for \(\lambda(A)\) based on the dual geometric program are derived. No numerical examples and only few references to the vast literature in this field are given.
0 references
Leontief model
0 references
productivity
0 references
Market equilibrium
0 references
spectral radius
0 references
\(M\)-matrices
0 references
geometric programming
0 references
nonnegative matrix
0 references
linear optimization
0 references
