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2010•Journal of Jilin University(Science Edition)Requires access

Local Double Diagonally Dominant Matrices and Its Application

Yujing Guan

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Abstract

Applying the theorem of partitioning of matrices and matrix analysis,some sufficient conditions that local double diagonally dominant matrix is generalized strictly diagonally dominant matrix,i.e. its comparison matrix is M-matrices are given. The criteria for generalized strictly diagonally dominant matrices are generalized.

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Applying the theorem of partitioning of matrices and matrix analysis,some sufficient conditions that local double diagonally dominant matrix is generalized strictly diagonally dominant matrix,i.e. its comparison matrix is M-matrices are given. The criteria for generalized strictly diagonally dominant matrices are generalized.

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Available abstract

Applying the theorem of partitioning of matrices and matrix analysis,some sufficient conditions that local double diagonally dominant matrix is generalized strictly diagonally dominant matrix,i.e. its comparison matrix is M-matrices are given. The criteria for generalized strictly diagonally dominant matrices are generalized.

Key concepts: Diagonally dominant matrix, Mathematics, Matrix (chemical analysis), Combinatorics, Diagonal, Pure mathematics, Algebra over a field, Invertible matrix

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