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Functions | |
FLA_Error | FLA_LU_nopiv_blk_var1 (FLA_Obj A, fla_lu_t *cntl) |
FLA_Error | FLA_LU_nopiv_blk_var2 (FLA_Obj A, fla_lu_t *cntl) |
FLA_Error | FLA_LU_nopiv_blk_var3 (FLA_Obj A, fla_lu_t *cntl) |
FLA_Error | FLA_LU_nopiv_blk_var4 (FLA_Obj A, fla_lu_t *cntl) |
FLA_Error | FLA_LU_nopiv_blk_var5 (FLA_Obj A, fla_lu_t *cntl) |
FLA_Error | FLA_LU_nopiv_unb_var1 (FLA_Obj A) |
FLA_Error | FLA_LU_nopiv_unb_var2 (FLA_Obj A) |
FLA_Error | FLA_LU_nopiv_unb_var3 (FLA_Obj A) |
FLA_Error | FLA_LU_nopiv_unb_var4 (FLA_Obj A) |
FLA_Error | FLA_LU_nopiv_unb_var5 (FLA_Obj A) |
References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_LU_nopiv_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_external(), and FLA_Trsm_internal().
Referenced by FLA_LU_nopiv_internal().
00038 { 00039 FLA_Obj ATL, ATR, A00, A01, A02, 00040 ABL, ABR, A10, A11, A12, 00041 A20, A21, A22; 00042 00043 dim_t b; 00044 00045 FLA_Part_2x2( A, &ATL, &ATR, 00046 &ABL, &ABR, 0, 0, FLA_TL ); 00047 00048 00049 while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) && 00050 FLA_Obj_width( ATL ) < FLA_Obj_width( A )){ 00051 00052 b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) ); 00053 00054 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02, 00055 /* ************* */ /* ******************** */ 00056 &A10, /**/ &A11, &A12, 00057 ABL, /**/ ABR, &A20, /**/ &A21, &A22, 00058 b, b, FLA_BR ); 00059 00060 /*------------------------------------------------------------*/ 00061 00062 /* A01 = trilu( A00 ) \ A01 */ 00063 FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 00064 FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, 00065 FLA_ONE, A00, A01, 00066 FLA_Cntl_sub_trsm1( cntl ) ); 00067 00068 /* A10 = A10 / triu( A00 ) */ 00069 FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR, 00070 FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, 00071 FLA_ONE, A00, A10, 00072 FLA_Cntl_sub_trsm2( cntl ) ); 00073 00074 /* A11 = LU( A11 - A10 * A01 ) */ 00075 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 00076 FLA_MINUS_ONE, A10, A01, FLA_ONE, A11, 00077 FLA_Cntl_sub_gemm1( cntl ) ); 00078 00079 FLA_LU_nopiv_internal( A11, FLA_Cntl_sub_lu( cntl ) ); 00080 00081 /*------------------------------------------------------------*/ 00082 00083 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02, 00084 A10, A11, /**/ A12, 00085 /* ************** */ /* ****************** */ 00086 &ABL, /**/ &ABR, A20, A21, /**/ A22, 00087 FLA_TL ); 00088 } 00089 00090 if ( FLA_Obj_length( ABL ) > 0 ) 00091 /* ABL = ABL / triu( ATL ) */ 00092 FLA_Trsm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, 00093 FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, 00094 FLA_ONE, ATL, ABL ); 00095 else if ( FLA_Obj_width( ATR ) > 0 ) 00096 /* ATR = trilu( ATL ) \ ATR */ 00097 FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, 00098 FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, 00099 FLA_ONE, ATL, ATR ); 00100 00101 return FLA_SUCCESS; 00102 }
References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_LU_nopiv_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_external(), and FLA_Trsm_internal().
Referenced by FLA_LU_nopiv_internal().
00038 { 00039 FLA_Obj ATL, ATR, A00, A01, A02, 00040 ABL, ABR, A10, A11, A12, 00041 A20, A21, A22; 00042 00043 dim_t b; 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 FLA_Obj_width( ATL ) < FLA_Obj_width( A )){ 00050 00051 b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) ); 00052 00053 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02, 00054 /* ************* */ /* ******************** */ 00055 &A10, /**/ &A11, &A12, 00056 ABL, /**/ ABR, &A20, /**/ &A21, &A22, 00057 b, b, FLA_BR ); 00058 00059 /*------------------------------------------------------------*/ 00060 00061 /* A10 = A10 / triu( A00 ) */ 00062 FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR, 00063 FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, 00064 FLA_ONE, A00, A10, 00065 FLA_Cntl_sub_trsm1( cntl ) ); 00066 00067 /* A11 = LU( A11 - A10 * A01 ) */ 00068 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 00069 FLA_MINUS_ONE, A10, A01, FLA_ONE, A11, 00070 FLA_Cntl_sub_gemm1( cntl ) ); 00071 00072 FLA_LU_nopiv_internal( A11, FLA_Cntl_sub_lu( cntl ) ); 00073 00074 /* A12 = A12 - A10 * A02 */ 00075 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 00076 FLA_MINUS_ONE, A10, A02, FLA_ONE, A12, 00077 FLA_Cntl_sub_gemm2( cntl ) ); 00078 00079 /* A12 = trilu( A11 ) \ A12 */ 00080 FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 00081 FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, 00082 FLA_ONE, A11, A12, 00083 FLA_Cntl_sub_trsm2( cntl ) ); 00084 00085 /*------------------------------------------------------------*/ 00086 00087 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02, 00088 A10, A11, /**/ A12, 00089 /* ************** */ /* ****************** */ 00090 &ABL, /**/ &ABR, A20, A21, /**/ A22, 00091 FLA_TL ); 00092 } 00093 00094 if ( FLA_Obj_length( ABL ) > 0 ) 00095 /* ABL = ABL / triu( ATL ) */ 00096 FLA_Trsm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, 00097 FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, 00098 FLA_ONE, ATL, ABL ); 00099 00100 return FLA_SUCCESS; 00101 }
References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_LU_nopiv_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_external(), and FLA_Trsm_internal().
Referenced by FLA_LU_nopiv_internal().
00038 { 00039 FLA_Obj ATL, ATR, A00, A01, A02, 00040 ABL, ABR, A10, A11, A12, 00041 A20, A21, A22; 00042 00043 dim_t b; 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 FLA_Obj_width( ATL ) < FLA_Obj_width( A )){ 00050 00051 b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) ); 00052 00053 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02, 00054 /* ************* */ /* ******************** */ 00055 &A10, /**/ &A11, &A12, 00056 ABL, /**/ ABR, &A20, /**/ &A21, &A22, 00057 b, b, FLA_BR ); 00058 00059 /*------------------------------------------------------------*/ 00060 00061 /* A01 = trilu( A00 ) \ A10 */ 00062 FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 00063 FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, 00064 FLA_ONE, A00, A01, 00065 FLA_Cntl_sub_trsm1( cntl ) ); 00066 00067 /* A11 = LU( A11 - A10 * A01 ) */ 00068 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 00069 FLA_MINUS_ONE, A10, A01, FLA_ONE, A11, 00070 FLA_Cntl_sub_gemm1( cntl ) ); 00071 00072 FLA_LU_nopiv_internal( A11, FLA_Cntl_sub_lu( cntl ) ); 00073 00074 /* A21 = A21 - A20 * A01 */ 00075 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 00076 FLA_MINUS_ONE, A20, A01, FLA_ONE, A21, 00077 FLA_Cntl_sub_gemm2( cntl ) ); 00078 00079 /* A21 = A21 / triu( A11 ) */ 00080 FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR, 00081 FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, 00082 FLA_ONE, A11, A21, 00083 FLA_Cntl_sub_trsm2( cntl ) ); 00084 00085 /*------------------------------------------------------------*/ 00086 00087 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02, 00088 A10, A11, /**/ A12, 00089 /* ************** */ /* ****************** */ 00090 &ABL, /**/ &ABR, A20, A21, /**/ A22, 00091 FLA_TL ); 00092 } 00093 00094 if ( FLA_Obj_width( ATR ) > 0 ) 00095 /* ATR = trilu( ATL ) \ ATR */ 00096 FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, 00097 FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, 00098 FLA_ONE, ATL, ATR ); 00099 00100 return FLA_SUCCESS; 00101 }
References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_LU_nopiv_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Trsm_internal().
Referenced by FLA_LU_nopiv_internal().
00038 { 00039 FLA_Obj ATL, ATR, A00, A01, A02, 00040 ABL, ABR, A10, A11, A12, 00041 A20, A21, A22; 00042 00043 dim_t b; 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 FLA_Obj_width( ATL ) < FLA_Obj_width( A )){ 00050 00051 b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) ); 00052 00053 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02, 00054 /* ************* */ /* ******************** */ 00055 &A10, /**/ &A11, &A12, 00056 ABL, /**/ ABR, &A20, /**/ &A21, &A22, 00057 b, b, FLA_BR ); 00058 00059 /*------------------------------------------------------------*/ 00060 00061 /* A11 = LU( A11 - A10 * A01 ) */ 00062 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 00063 FLA_MINUS_ONE, A10, A01, FLA_ONE, A11, 00064 FLA_Cntl_sub_gemm1( cntl ) ); 00065 00066 FLA_LU_nopiv_internal( A11, FLA_Cntl_sub_lu( cntl ) ); 00067 00068 /* A12 = A12 - A10 * A02 */ 00069 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 00070 FLA_MINUS_ONE, A10, A02, FLA_ONE, A12, 00071 FLA_Cntl_sub_gemm2( cntl ) ); 00072 00073 /* A12 = trilu( A11 ) \ A12 */ 00074 FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 00075 FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, 00076 FLA_ONE, A11, A12, 00077 FLA_Cntl_sub_trsm1( cntl ) ); 00078 00079 /* A21 = A21 - A20 * A01 */ 00080 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 00081 FLA_MINUS_ONE, A20, A01, FLA_ONE, A21, 00082 FLA_Cntl_sub_gemm3( cntl ) ); 00083 00084 /* A21 = A21 / triu( A11 ) */ 00085 FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR, 00086 FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, 00087 FLA_ONE, A11, A21, 00088 FLA_Cntl_sub_trsm2( cntl ) ); 00089 00090 /*------------------------------------------------------------*/ 00091 00092 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02, 00093 A10, A11, /**/ A12, 00094 /* ************** */ /* ****************** */ 00095 &ABL, /**/ &ABR, A20, A21, /**/ A22, 00096 FLA_TL ); 00097 } 00098 00099 return FLA_SUCCESS; 00100 }
References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_LU_nopiv_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Trsm_internal().
Referenced by FLA_LU_nopiv_internal().
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 FLA_Part_2x2( A, &ATL, &ATR, 00044 &ABL, &ABR, 0, 0, FLA_TL ); 00045 00046 while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) && 00047 FLA_Obj_width( ATL ) < FLA_Obj_width( A )){ 00048 00049 b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) ); 00050 00051 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02, 00052 /* ************* */ /* ******************** */ 00053 &A10, /**/ &A11, &A12, 00054 ABL, /**/ ABR, &A20, /**/ &A21, &A22, 00055 b, b, FLA_BR ); 00056 00057 /*------------------------------------------------------------*/ 00058 00059 /* A11 = LU( A11 ) */ 00060 FLA_LU_nopiv_internal( A11, FLA_Cntl_sub_lu( cntl ) ); 00061 00062 /* A12 = trilu( A11 ) \ A12 */ 00063 FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 00064 FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, 00065 FLA_ONE, A11, A12, 00066 FLA_Cntl_sub_trsm1( cntl ) ); 00067 00068 /* A21 = A21 / triu( A11 ) */ 00069 FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR, 00070 FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, 00071 FLA_ONE, A11, A21, 00072 FLA_Cntl_sub_trsm2( cntl ) ); 00073 00074 /* A22 = A22 - A21 * A12 */ 00075 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 00076 FLA_MINUS_ONE, A21, A12, FLA_ONE, A22, 00077 FLA_Cntl_sub_gemm1( cntl ) ); 00078 00079 00080 /*------------------------------------------------------------*/ 00081 00082 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02, 00083 A10, A11, /**/ A12, 00084 /* ************** */ /* ****************** */ 00085 &ABL, /**/ &ABR, A20, A21, /**/ A22, 00086 FLA_TL ); 00087 } 00088 00089 return FLA_SUCCESS; 00090 }
References FLA_Cont_with_3x3_to_2x2(), FLA_Dots_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_external(), 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 FLA_Part_2x2( A, &ATL, &ATR, 00044 &ABL, &ABR, 0, 0, FLA_TL ); 00045 00046 while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) && 00047 FLA_Obj_width( ATL ) < FLA_Obj_width( A )){ 00048 00049 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, 00050 /* ************* */ /* ************************** */ 00051 &a10t, /**/ &alpha11, &a12t, 00052 ABL, /**/ ABR, &A20, /**/ &a21, &A22, 00053 1, 1, FLA_BR ); 00054 00055 /*------------------------------------------------------------*/ 00056 00057 /* a01 = trilu( A00 ) \ a01 */ 00058 FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 ); 00059 00060 /* a10t = a10t / triu( A00 ) */ 00061 FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t ); 00062 00063 /* alpha11 = alpha11 - a10t * a01 */ 00064 FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); 00065 00066 /*------------------------------------------------------------*/ 00067 00068 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, 00069 a10t, alpha11, /**/ a12t, 00070 /* ************** */ /* ************************ */ 00071 &ABL, /**/ &ABR, A20, a21, /**/ A22, 00072 FLA_TL ); 00073 00074 } 00075 00076 if ( FLA_Obj_length( ABL ) > 0 ) 00077 /* ABL = ABL / triu( ATL ) */ 00078 FLA_Trsm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, 00079 FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, 00080 FLA_ONE, ATL, ABL ); 00081 else if ( FLA_Obj_width( ATR ) > 0 ) 00082 /* ATR = trilu( ATL ) \ ATR */ 00083 FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, 00084 FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, 00085 FLA_ONE, ATL, ATR ); 00086 00087 return FLA_SUCCESS; 00088 }
References FLA_Cont_with_3x3_to_2x2(), FLA_Dots_external(), FLA_Gemv_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_external(), 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 FLA_Part_2x2( A, &ATL, &ATR, 00044 &ABL, &ABR, 0, 0, FLA_TL ); 00045 00046 while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) && 00047 FLA_Obj_width( ATL ) < FLA_Obj_width( A )){ 00048 00049 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, 00050 /* ************* */ /* ************************** */ 00051 &a10t, /**/ &alpha11, &a12t, 00052 ABL, /**/ ABR, &A20, /**/ &a21, &A22, 00053 1, 1, FLA_BR ); 00054 00055 /*------------------------------------------------------------*/ 00056 00057 /* a10t = a10t / triu( A00 ) */ 00058 FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t ); 00059 00060 /* alpha11 = alpha11 - a10t * a01 */ 00061 FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); 00062 00063 /* a12t = a12t - a10t * A02 */ 00064 FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t ); 00065 00066 /*------------------------------------------------------------*/ 00067 00068 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, 00069 a10t, alpha11, /**/ a12t, 00070 /* ************** */ /* ************************ */ 00071 &ABL, /**/ &ABR, A20, a21, /**/ A22, 00072 FLA_TL ); 00073 00074 } 00075 00076 if ( FLA_Obj_length( ABL ) > 0 ) 00077 /* ABL = ABL / triu( ATL ) */ 00078 FLA_Trsm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, 00079 FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, 00080 FLA_ONE, ATL, ABL ); 00081 00082 return FLA_SUCCESS; 00083 }
References FLA_Cont_with_3x3_to_2x2(), FLA_Dots_external(), FLA_Gemv_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_external(), 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 FLA_Part_2x2( A, &ATL, &ATR, 00044 &ABL, &ABR, 0, 0, FLA_TL ); 00045 00046 while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) && 00047 FLA_Obj_width( ATL ) < FLA_Obj_width( A )){ 00048 00049 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, 00050 /* ************* */ /* ************************** */ 00051 &a10t, /**/ &alpha11, &a12t, 00052 ABL, /**/ ABR, &A20, /**/ &a21, &A22, 00053 1, 1, FLA_BR ); 00054 00055 /*------------------------------------------------------------*/ 00056 00057 /* a01 = trilu( A00 ) \ a10 */ 00058 FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 ); 00059 00060 /* alpha11 = alpha11 - a10t * a01 */ 00061 FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); 00062 00063 /* a21 = a21 - A20 * a01 */ 00064 FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); 00065 00066 /* a21 = a21 / alpha11 */ 00067 FLA_Inv_scal_external( alpha11, a21 ); 00068 00069 /*------------------------------------------------------------*/ 00070 00071 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, 00072 a10t, alpha11, /**/ a12t, 00073 /* ************** */ /* ************************ */ 00074 &ABL, /**/ &ABR, A20, a21, /**/ A22, 00075 FLA_TL ); 00076 00077 } 00078 00079 if ( FLA_Obj_width( ATR ) > 0 ) 00080 /* ATR = trilu( ATL ) \ ATR */ 00081 FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, 00082 FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, 00083 FLA_ONE, ATL, ATR ); 00084 00085 return FLA_SUCCESS; 00086 }
References FLA_Cont_with_3x3_to_2x2(), FLA_Dots_external(), FLA_Gemv_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x2(), and FLA_Repart_2x2_to_3x3().
00038 { 00039 FLA_Obj ATL, ATR, A00, a01, A02, 00040 ABL, ABR, a10t, alpha11, a12t, 00041 A20, a21, A22; 00042 00043 FLA_Part_2x2( A, &ATL, &ATR, 00044 &ABL, &ABR, 0, 0, FLA_TL ); 00045 00046 while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) && 00047 FLA_Obj_width( ATL ) < FLA_Obj_width( A )){ 00048 00049 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, 00050 /* ************* */ /* ************************** */ 00051 &a10t, /**/ &alpha11, &a12t, 00052 ABL, /**/ ABR, &A20, /**/ &a21, &A22, 00053 1, 1, FLA_BR ); 00054 00055 /*------------------------------------------------------------*/ 00056 00057 /* alpha11 = alpha11 - a10t * a01 */ 00058 FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); 00059 00060 /* a12t = a12t - a10t * A02 */ 00061 FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t ); 00062 00063 /* a21 = a21 - A20 * a01 */ 00064 FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); 00065 00066 /* a21 = a21 / alpha11 */ 00067 FLA_Inv_scal_external( alpha11, a21 ); 00068 00069 /*------------------------------------------------------------*/ 00070 00071 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, 00072 a10t, alpha11, /**/ a12t, 00073 /* ************** */ /* ************************ */ 00074 &ABL, /**/ &ABR, A20, a21, /**/ A22, 00075 FLA_TL ); 00076 00077 } 00078 00079 return FLA_SUCCESS; 00080 }
References FLA_Cont_with_3x3_to_2x2(), FLA_Ger_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_Part_2x2(), and FLA_Repart_2x2_to_3x3().
00038 { 00039 FLA_Obj ATL, ATR, A00, a01, A02, 00040 ABL, ABR, a10t, alpha11, a12t, 00041 A20, a21, A22; 00042 00043 FLA_Part_2x2( A, &ATL, &ATR, 00044 &ABL, &ABR, 0, 0, FLA_TL ); 00045 00046 while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) && 00047 FLA_Obj_width( ATL ) < FLA_Obj_width( A )){ 00048 00049 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, 00050 /* ************* */ /* ************************** */ 00051 &a10t, /**/ &alpha11, &a12t, 00052 ABL, /**/ ABR, &A20, /**/ &a21, &A22, 00053 1, 1, FLA_BR ); 00054 00055 /*------------------------------------------------------------*/ 00056 00057 /* a21 = a21 / alpha11 */ 00058 FLA_Inv_scal_external( alpha11, a21 ); 00059 00060 /* A22 = A22 - a21 * a12t */ 00061 FLA_Ger_external( FLA_MINUS_ONE, a21, a12t, A22 ); 00062 00063 /*------------------------------------------------------------*/ 00064 00065 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, 00066 a10t, alpha11, /**/ a12t, 00067 /* ************** */ /* ************************ */ 00068 &ABL, /**/ &ABR, A20, a21, /**/ A22, 00069 FLA_TL ); 00070 00071 } 00072 00073 return FLA_SUCCESS; 00074 }