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

References

  1. 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.