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Comparison matrix

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

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Jun 17, 2026

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In linear algebra, let $A = (a ij)$ be a $n \times n$ complex matrix. The comparison matrix $M (A) = (α ij)$ of complex matrix A is defined as

\alpha _{ij}={\begin{cases}-|a_{ij}|&{\text{if }}i\neq j,\\|a_{ij}|&{\text{if }}i=j.\end{cases}}

¹

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References

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.