Solution to linear equations

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Across
  1. 2. A non-zero entry in LU that was a zero in original matrix
  2. 4. _________ regularization is used to improve condition number
  3. 9. lower triangular matrix has 1's in diagonal
  4. 10. If no. of variables are three, then congugate gradient converges in __ iterations
Down
  1. 1. Doolittle's decomposition exists if leading principal ____ are nonzero
  2. 3. To apply preconditioner matrix, its ___ must exist
  3. 5. ____method is used to solve Ax=b when matrix A is sparse
  4. 6. ___ preconditioner works well if 𝐴 is diagonally dominant
  5. 7. ______ pivoting is done to reduce rounding errors
  6. 8. ____method is used to solve Ax=b when matrix A is dense