Comparison matrix
From HandWiki
In linear algebra, let A = (aij) be a n × n complex matrix. The comparison matrix M(A) = (αij) of complex matrix A is defined as
- [math]\displaystyle{ \alpha_{ij} = \begin{cases} -|a_{ij}| &\text{if } i \neq j, \\ |a_{ij}| &\text{if } i=j. \end{cases} }[/math][1]
See also
- Hurwitz matrix
- P-matrix
- Perron–Frobenius theorem
- Z-matrix
- L-matrix
- M-matrix
- H-matrix (iterative method)
References
- ↑ Varga, Richard S. (2006). "Basic Iterative Methods and Comparison Theorems". Matrix Iterative Analysis (2nd ed.). Springer Science+Business Media. p. 92. ISBN 1-4020-3555-1.
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