Functions | |
FLA_Error | FLA_Chol_l_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 /* a10t = a10t * inv( tril( A00 )' ); */ 00061 /* a10t' = inv( tril( A00 ) ) * a10t'; */ 00062 FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t ); 00063 00064 /* alpha11 = alpha11 - a10t * a10t'; */ 00065 FLA_Dots_external( FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 ); 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 else 00074 { 00075 /* a10t = a10t * inv( tril( A00 )' ); */ 00076 /* a10t' = inv( conj( tril( A00 ) ) ) * a10t'; */ 00077 FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t ); 00078 00079 /* alpha11 = alpha11 - a10t * a10t'; */ 00080 FLA_Dotcs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 ); 00081 00082 /* alpha11 = sqrt( alpha11 ); */ 00083 value = FLA_Sqrt( alpha11 ); 00084 00085 if ( value != FLA_SUCCESS ) 00086 return ( FLA_Obj_length( A00 ) + 1 ); 00087 } 00088 00089 /*------------------------------------------------------------*/ 00090 00091 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, 00092 a10t, alpha11, /**/ a12t, 00093 /* ************** */ /* ************************ */ 00094 &ABL, /**/ &ABR, A20, a21, /**/ A22, 00095 FLA_TL ); 00096 } 00097 00098 return value; 00099 }