Functions | |
FLA_Error | FLA_Chol_u_unb_var2 (FLA_Obj A) |
References FLA_Cont_with_3x3_to_2x2(), FLA_Dotcs_external(), FLA_Dots_external(), FLA_Gemv_external(), FLA_Gemvc_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_Obj_is_real(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Sqrt().
00038 { 00039 FLA_Obj ATL, ATR, A00, a01, A02, 00040 ABL, ABR, a10t, alpha11, a12t, 00041 A20, a21, A22; 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 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, 00051 /* ************* */ /* ************************** */ 00052 &a10t, /**/ &alpha11, &a12t, 00053 ABL, /**/ ABR, &A20, /**/ &a21, &A22, 00054 1, 1, FLA_BR ); 00055 00056 /*------------------------------------------------------------*/ 00057 00058 if ( FLA_Obj_is_real( A ) ) 00059 { 00060 /* alpha11 = alpha11 - a01' * a01; */ 00061 FLA_Dots_external( FLA_MINUS_ONE, a01, a01, FLA_ONE, alpha11 ); 00062 00063 /* a12t = a12t - a01' * A02; */ 00064 /* a12t' = a12t' - A02' * a01; */ 00065 FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a01, FLA_ONE, a12t ); 00066 00067 /* alpha11 = sqrt( alpha11 ); */ 00068 value = FLA_Sqrt( alpha11 ); 00069 00070 if ( value != FLA_SUCCESS ) 00071 return ( FLA_Obj_length( A00 ) + 1 ); 00072 00073 /* a12t = a12t / alpha11; */ 00074 FLA_Inv_scal_external( alpha11, a12t ); 00075 } 00076 else 00077 { 00078 /* alpha11 = alpha11 - a01' * a01; */ 00079 FLA_Dotcs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a01, a01, FLA_ONE, alpha11 ); 00080 00081 /* a12t = a12t - a01' * A02; */ 00082 /* a12t' = a12t' - A02' * conj(a01); */ 00083 FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, A02, a01, FLA_ONE, a12t ); 00084 00085 /* alpha11 = sqrt( alpha11 ); */ 00086 value = FLA_Sqrt( alpha11 ); 00087 00088 if ( value != FLA_SUCCESS ) 00089 return ( FLA_Obj_length( A00 ) + 1 ); 00090 00091 /* a12t = a12t / alpha11; */ 00092 FLA_Inv_scal_external( alpha11, a12t ); 00093 } 00094 00095 /*------------------------------------------------------------*/ 00096 00097 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, 00098 a10t, alpha11, /**/ a12t, 00099 /* ************** */ /* ************************ */ 00100 &ABL, /**/ &ABR, A20, a21, /**/ A22, 00101 FLA_TL ); 00102 } 00103 00104 return value; 00105 }