Functions | |
FLA_Error | FLA_Chol_u_unb_var1 (FLA_Obj A) |
References FLA_Cont_with_3x3_to_2x2(), FLA_Dotcs_external(), FLA_Dots_external(), FLA_MINUS_ONE, FLA_Obj_is_real(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Sqrt(), and FLA_Trsv_external().
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 /* a01 = inv( tril( A00 )' ) * a01; */ 00061 FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a01 ); 00062 00063 /* alpha11 = alpha11 - a01' * a01; */ 00064 FLA_Dots_external( FLA_MINUS_ONE, a01, a01, FLA_ONE, alpha11 ); 00065 00066 /* alpha11 = sqrt( alpha11 ); */ 00067 value = FLA_Sqrt( alpha11 ); 00068 00069 if ( value != FLA_SUCCESS ) 00070 return ( FLA_Obj_length( A00 ) + 1 ); 00071 } 00072 else 00073 { 00074 /* a01 = inv( tril( A00 )' ) * a01; */ 00075 FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a01 ); 00076 00077 /* alpha11 = alpha11 - a01' * a01; */ 00078 FLA_Dotcs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a01, a01, FLA_ONE, alpha11 ); 00079 00080 /* alpha11 = sqrt( alpha11 ); */ 00081 value = FLA_Sqrt( alpha11 ); 00082 00083 if ( value != FLA_SUCCESS ) 00084 return ( FLA_Obj_length( A00 ) + 1 ); 00085 } 00086 00087 /*------------------------------------------------------------*/ 00088 00089 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, 00090 a10t, alpha11, /**/ a12t, 00091 /* ************** */ /* ************************ */ 00092 &ABL, /**/ &ABR, A20, a21, /**/ A22, 00093 FLA_TL ); 00094 } 00095 00096 return value; 00097 }