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

  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. 




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Categories: [Matrices]


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