page_title: Weakly chained diagonally dominant matrix
section_title: Example
hierarchical_section_title: Weakly chained diagonally dominant matrix / Example
caption_attribution_description: English: The directed graph associated with a WCDD matrix whose diagonal is the 1s vector and main subdiagonal is the -1s vector
context_page_description: In mathematics, the weakly chained diagonally dominant matrices are a family of nonsingular matrices that include the strictly diagonally dominant matrices.
context_section_description: The  matrix
  is WCDD.
caption: The directed graph associated with the WCDD matrix in the example. The first row, which is SDD, is highlighted. Note that regardless of which node 
    
      
        
          i
        
      
      {\displaystyle i}
    
   we start at, we can find a walk 
    
      
        
          i
          →
          (
          i
          −
          1
          )
          →
          (
          i
          −
          2
          )
          →
          ⋯
          →
          1
        
      
      {\displaystyle i\rightarrow (i-1)\rightarrow (i-2)\rightarrow \cdots \rightarrow 1}
    
  .
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