Exploiting the Composite Step Strategy to the Biconjugate 𝐴-Orthogonal Residual Method for Non-Hermitian Linear Systems

Algorithm 4

If ||𝑧_𝑛+1||≤|𝜎_𝑛|||𝑟_𝑛||, Then

 1×1 Step

Else

 ||𝜋_𝑛+2||=||𝜂_𝑛𝑟_𝑛−𝜁_𝑛+1𝜌³_𝑛𝑞_𝑛−𝜃_𝑛+1𝜌²_𝑛𝑦_𝑛+1||

 If |𝜎_𝑛|||𝜋_𝑛+2||≤|𝜂_𝑛|||𝑧_𝑛+1||, Then

  2×2 Step

 Else

  1×1 Step

 End If

End If