cp_fm_basic_linalg::cp_fm_trace Interface Reference

Public Member Functions
subroutine	cp_fm_trace_a0b0t0 (matrix_a, matrix_b, trace)
	returns the trace of matrix_a^T matrix_b, i.e sum_{i,j}(matrix_a(i,j)*matrix_b(i,j))
subroutine	cp_fm_trace_a1b0t1_a (matrix_a, matrix_b, trace)
	Compute trace(k) = Tr (matrix_a(k)^T matrix_b) for each pair of matrices A_k and B.
subroutine	cp_fm_trace_a1b0t1_p (matrix_a, matrix_b, trace)
subroutine	cp_fm_trace_a1b1t1_aa (matrix_a, matrix_b, trace, accurate)
	Compute trace(k) = Tr (matrix_a(k)^T matrix_b(k)) for each pair of matrices A_k and B_k.
subroutine	cp_fm_trace_a1b1t1_ap (matrix_a, matrix_b, trace, accurate)
subroutine	cp_fm_trace_a1b1t1_pa (matrix_a, matrix_b, trace, accurate)
subroutine	cp_fm_trace_a1b1t1_pp (matrix_a, matrix_b, trace, accurate)

Detailed Description

Definition at line 75 of file cp_fm_basic_linalg.F.

Member Function/Subroutine Documentation

cp_fm_trace_a0b0t0()

subroutine cp_fm_basic_linalg::cp_fm_trace::cp_fm_trace_a0b0t0	(	type(cp_fm_type), intent(in)	matrix_a,
		type(cp_fm_type), intent(in)	matrix_b,
		real(kind=dp), intent(out)	trace
	)

returns the trace of matrix_a^T matrix_b, i.e sum_{i,j}(matrix_a(i,j)*matrix_b(i,j))

Parameters

matrix_a	a matrix
matrix_b	another matrix
trace	...

History

11.06.2001 Creation (Matthias Krack) 12.2002 added doc [fawzi]

Author

Matthias Krack

Note

note the transposition of matrix_a!

Definition at line 762 of file cp_fm_basic_linalg.F.

cp_fm_trace_a1b0t1_a()

subroutine cp_fm_basic_linalg::cp_fm_trace::cp_fm_trace_a1b0t1_a	(	type(cp_fm_type), dimension(:), intent(in)	matrix_a,
		type(cp_fm_type), intent(in)	matrix_b,
		real(kind=dp), dimension(:), intent(out)	trace
	)

Compute trace(k) = Tr (matrix_a(k)^T matrix_b) for each pair of matrices A_k and B.

Parameters

matrix_a	list of A matrices
matrix_b	B matrix
trace	computed traces

History

• 08.2018 forked from cp_fm_trace() [Sergey Chulkov]

Note

Computing the trace requires collective communication between involved MPI processes that implies a synchronisation point between them. The aim of this subroutine is to reduce the amount of time wasted in such synchronisation by performing one large collective operation which involves all the matrices in question.

The subroutine's suffix reflects dimensionality of dummy arrays; 'a1b0t1' means that the dummy variables 'matrix_a' and 'trace' are 1-dimensional arrays, while the variable 'matrix_b' is a single matrix.

Definition at line 835 of file cp_fm_basic_linalg.F.

Here is the call graph for this function:

cp_fm_trace_a1b0t1_p()

subroutine cp_fm_basic_linalg::cp_fm_trace::cp_fm_trace_a1b0t1_p	(	type(cp_fm_p_type), dimension(:), intent(in)	matrix_a,
		type(cp_fm_type), intent(in)	matrix_b,
		real(kind=dp), dimension(:), intent(out)	trace
	)

Definition at line 890 of file cp_fm_basic_linalg.F.

Here is the call graph for this function:

cp_fm_trace_a1b1t1_aa()

subroutine cp_fm_basic_linalg::cp_fm_trace::cp_fm_trace_a1b1t1_aa	(	type(cp_fm_type), dimension(:), intent(in)	matrix_a,
		type(cp_fm_type), dimension(:), intent(in)	matrix_b,
		real(kind=dp), dimension(:), intent(out)	trace,
		logical, intent(in), optional	accurate
	)

Compute trace(k) = Tr (matrix_a(k)^T matrix_b(k)) for each pair of matrices A_k and B_k.

Parameters

matrix_a	list of A matrices
matrix_b	list of B matrices
trace	computed traces
accurate	...

History

• 11.2016 forked from cp_fm_trace() [Sergey Chulkov]

Note

Computing the trace requires collective communication between involved MPI processes that implies a synchronisation point between them. The aim of this subroutine is to reduce the amount of time wasted in such synchronisation by performing one large collective operation which involves all the matrices in question.

The subroutine's suffix reflects dimensionality of dummy arrays; 'a1b1t1' means that all dummy variables (matrix_a, matrix_b, and trace) are 1-dimensional arrays.

Definition at line 964 of file cp_fm_basic_linalg.F.

Here is the call graph for this function:

cp_fm_trace_a1b1t1_ap()

subroutine cp_fm_basic_linalg::cp_fm_trace::cp_fm_trace_a1b1t1_ap	(	type(cp_fm_type), dimension(:), intent(in)	matrix_a,
		type(cp_fm_p_type), dimension(:), intent(in)	matrix_b,
		real(kind=dp), dimension(:), intent(out)	trace,
		logical, intent(in), optional	accurate
	)

Definition at line 1026 of file cp_fm_basic_linalg.F.

Here is the call graph for this function:

cp_fm_trace_a1b1t1_pa()

subroutine cp_fm_basic_linalg::cp_fm_trace::cp_fm_trace_a1b1t1_pa	(	type(cp_fm_p_type), dimension(:), intent(in)	matrix_a,
		type(cp_fm_type), dimension(:), intent(in)	matrix_b,
		real(kind=dp), dimension(:), intent(out)	trace,
		logical, intent(in), optional	accurate
	)

Definition at line 1088 of file cp_fm_basic_linalg.F.

Here is the call graph for this function:

cp_fm_trace_a1b1t1_pp()

subroutine cp_fm_basic_linalg::cp_fm_trace::cp_fm_trace_a1b1t1_pp	(	type(cp_fm_p_type), dimension(:), intent(in)	matrix_a,
		type(cp_fm_p_type), dimension(:), intent(in)	matrix_b,
		real(kind=dp), dimension(:), intent(out)	trace,
		logical, intent(in), optional	accurate
	)

Definition at line 1150 of file cp_fm_basic_linalg.F.

Here is the call graph for this function:

---

The documentation for this interface was generated from the following file:

• fm/cp_fm_basic_linalg.F