 TEST DRIVER PROGRAM:
 FOR EACH MATRIX, A, THREE DIFFERENT ALGORITHMS
 FOR FINDING THE INCOMPLETE FACTORIZATION, L, ARE
 USED. FOR EACH METHOD, WE COMPUTE N=L*L(T).  WE
 THEN FIND M=A-N AND COMPUTE THE FROBENIUS NORM OF
 THE LOWER SYMMETRIC HALF OF M AS WELL AS THE
 LARGEST ABSOLUTE VALUE OF AN ELEMENT IN M.
  
 *******************************************
 FACTORING A BANDED MATRIX:
 EACH ALGORITHM COMPUTES THE EXACT FACTOR.
 ON A SUN SPARC 10/51 THE RESULTS ARE:
 STANDARD: F-NORM=1.17D-13, ABS VAL=4.26D-14
 COLUMN  : F-NORM=1.17D-13, ABS VAL=4.26D-14
 ROW     : F-NORM=1.17D-13, ABS VAL=4.26D-14
 MATRIX ORDER =    50
 NUMBER OF NONZEROS BELOW THE DIAGONAL =   925
  
 STANDARD FACTORIZATION RETURN VALUE IS     0
 THE FROBENIUS NORM IS LESS THAN 1E-12
 THE LARGEST ABSOLUTE VALUE IS LESS THAN 1E-12
  
 COLUMN FACTORIZATION RETURN VALUE IS     0
 THE FROBENIUS NORM IS LESS THAN 1E-12
 THE LARGEST ABSOLUTE VALUE IS LESS THAN 1E-12
  
 ROW FACTORIZATION RETURN VALUE IS     0
 THE FROBENIUS NORM IS LESS THAN 1E-12
 THE LARGEST ABSOLUTE VALUE IS LESS THAN 1E-12
  
 *******************************************
 FACTORING AN ARROWHEAD MATRIX:
 ON A SUN SPARC 10/51 THE RESULTS ARE:
 STANDARD: F-NORM=4.82D-01, ABS VAL=5.00D-02
 COLUMN  : F-NORM=3.22D-01, ABS VAL=6.01D-02
 ROW     : F-NORM=1.10D+00, ABS VAL=9.97D-01
 MATRIX ORDER =    20
 NUMBER OF NONZEROS BELOW THE DIAGONAL =    97
  
 STANDARD FACTORIZATION RETURN VALUE IS     0
 THE FROBENIUS NORM IS     4.82D-01
 THE LARGEST ABSOLUTE VALUE IS    5.00D-02
  
 COLUMN FACTORIZATION RETURN VALUE IS     0
 THE FROBENIUS NORM IS     3.22D-01
 THE LARGEST ABSOLUTE VALUE IS    6.01D-02
  
 ROW FACTORIZATION RETURN VALUE IS     0
 THE FROBENIUS NORM IS     1.10D+00
 THE LARGEST ABSOLUTE VALUE IS    9.97D-01
  
 *******************************************
 FACTORING A 2-D LAPLACIAN WITH
 5-POINT STENCIL:
 EACH ALGORITHM PERFORMS ROUGHLY THE SAME.
 ON A SUN SPARC 10/51 THE RESULTS ARE:
 STANDARD: F-NORM=1.12D+00, ABS VAL=2.93D-01
 COLUMN  : F-NORM=1.13D+00, ABS VAL=2.96D-01
 ROW     : F-NORM=1.13D+00, ABS VAL=2.96D-01
 MATRIX ORDER =    25
 NUMBER OF NONZEROS BELOW THE DIAGONAL =    40
  
 STANDARD FACTORIZATION RETURN VALUE IS     0
 THE FROBENIUS NORM IS     1.12D+00
 THE LARGEST ABSOLUTE VALUE IS    2.93D-01
  
 COLUMN FACTORIZATION RETURN VALUE IS     0
 THE FROBENIUS NORM IS     1.13D+00
 THE LARGEST ABSOLUTE VALUE IS    2.96D-01
  
 ROW FACTORIZATION RETURN VALUE IS     0
 THE FROBENIUS NORM IS     1.13D+00
 THE LARGEST ABSOLUTE VALUE IS    2.96D-01
  
 *******************************************
 FACTORING A SIMPLE 4X4 SPARSE MATRIX:
 EACH OF THE ALGORITHMS WILL FAIL TO FACTOR
 THE MATRIX AND GIVE A RETURN CODE OF -4.
 ON A SUN SPARC 10/51 THE RESULTS ARE:
 STANDARD: F-NORM=1.12D+00, ABS VAL=1.00D+00
 COLUMN  : F-NORM=1.12D+00, ABS VAL=1.00D+00
 ROW     : F-NORM=4.59D+00, ABS VAL=4.01D+00
 MATRIX ORDER =     4
 NUMBER OF NONZEROS BELOW THE DIAGONAL =     3
  
 STANDARD FACTORIZATION RETURN VALUE IS    -4
 THE FROBENIUS NORM IS     1.12D+00
 THE LARGEST ABSOLUTE VALUE IS    1.00D+00
  
 COLUMN FACTORIZATION RETURN VALUE IS    -4
 THE FROBENIUS NORM IS     1.12D+00
 THE LARGEST ABSOLUTE VALUE IS    1.00D+00
  
 ROW FACTORIZATION RETURN VALUE IS    -4
 THE FROBENIUS NORM IS     4.59D+00
 THE LARGEST ABSOLUTE VALUE IS    4.01D+00
