FLA_Chol_l_blk_var3.c File Reference

(r)


Functions

FLA_Error FLA_Chol_l_blk_var3 (FLA_Obj A, fla_chol_t *cntl)

Function Documentation

FLA_Error FLA_Chol_l_blk_var3 ( FLA_Obj  A,
fla_chol_t cntl 
)

References FLA_Chol_internal(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Herk_internal(), FLA_MINUS_ONE, FLA_Obj_is_real(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Syrk_internal(), and FLA_Trsm_internal().

Referenced by FLA_Chol_l().

00036 {
00037   FLA_Obj ATL,   ATR,      A00, A01, A02,
00038           ABL,   ABR,      A10, A11, A12,
00039                            A20, A21, A22;
00040 
00041   dim_t b;
00042 
00043   int value = 0;
00044 
00045   FLA_Part_2x2( A,    &ATL, &ATR,
00046                       &ABL, &ABR,     0, 0, FLA_TL );
00047 
00048   while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
00049 
00050     b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );
00051 
00052     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
00053                         /* ************* */   /* ******************** */
00054                                                 &A10, /**/ &A11, &A12,
00055                            ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
00056                            b, b, FLA_BR );
00057 
00058     /*------------------------------------------------------------*/
00059 
00060     if ( FLA_Obj_is_real( A ) )
00061     {
00062       /* A11 = chol( A11 ); */
00063       value = FLA_Chol_internal( FLA_LOWER_TRIANGULAR, A11,
00064                                  FLA_Cntl_sub_chol( cntl ) );
00065 
00066       if ( value != FLA_SUCCESS )
00067         return ( FLA_Obj_length( A00 ) + value );
00068 
00069       /* A21 = A21 * inv( tril( A11 )' ); */
00070       FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
00071                          FLA_TRANSPOSE, FLA_NONUNIT_DIAG,
00072                          FLA_ONE, A11, A21,
00073                          FLA_Cntl_sub_trsm( cntl ) );
00074 
00075       /* A22 = A22 - A21 * A21'; */
00076       FLA_Syrk_internal( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE,
00077                          FLA_MINUS_ONE, A21, FLA_ONE, A22,
00078                          FLA_Cntl_sub_syrk( cntl ) );
00079     }
00080     else
00081     {
00082       /* A11 = chol( A11 ); */
00083       value = FLA_Chol_internal( FLA_LOWER_TRIANGULAR, A11,
00084                                  FLA_Cntl_sub_chol( cntl ) );
00085 
00086       if ( value != FLA_SUCCESS )
00087         return ( FLA_Obj_length( A00 ) + value );
00088 
00089       /* A21 = A21 * inv( tril( A11 )' ); */
00090       FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
00091                          FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
00092                          FLA_ONE, A11, A21,
00093                          FLA_Cntl_sub_trsm( cntl ) );
00094 
00095       /* A22 = A22 - A21 * A21'; */
00096       FLA_Herk_internal( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE,
00097                          FLA_MINUS_ONE, A21, FLA_ONE, A22,
00098                          FLA_Cntl_sub_herk( cntl ) );
00099     }
00100 
00101     /*------------------------------------------------------------*/
00102 
00103     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
00104                                                      A10, A11, /**/ A12,
00105                             /* ************** */  /* ****************** */
00106                               &ABL, /**/ &ABR,       A20, A21, /**/ A22,
00107                               FLA_TL );
00108   }
00109 
00110   return value;
00111 }


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