Weakly chained diagonally dominant matrix

In mathematics, the weakly chained diagonally dominant matrices are a family of nonsingular matrices that include the strictly diagonally dominant matrices. == Definition == === Preliminaries === We say row i {\displaystyle i} of a complex matrix A = ( a i j ) {\displaystyle A=(a_{ij})} is strictly diagonally dominant (SDD) if | a i i | > ∑ j ≠ i | a i j | {\displaystyle |a_{ii}|>\textstyle {\sum _{j\neq i}}|a_{ij}|} .

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Weakly chained diagonally dominant matrix

In mathematics, the weakly chained diagonally dominant matrices are a family of nonsingular matrices that include the strictly diagonally dominant matrices. == Definition == === Preliminaries === We say row i {\displaystyle i} of a complex matrix A = ( a i j ) {\displaystyle A=(a_{ij})} is strictly diagonally dominant (SDD) if | a i i | > ∑ j ≠ i | a i j | {\displaystyle |a_{ii}|>\textstyle {\sum _{j\neq i}}|a_{ij}|} .

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Source: Wikipedia "Weakly chained diagonally dominant matrix" · CC BY-SA 4.0

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