Description

Sun S3L provides 18 matrix multiplication routines that compute one or more instances of matrix products. For each instance, these routines perform the operations listed in Table 8-5.

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Note -

In these descriptions, A^T and A^H denote A transpose and A Hermitian, respectively.

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Table 8-5 S3L Matrix Multiplication Operations

Routine	Operation	Data Type
S3L_mat_mult	C = C + AB	real or complex
S3L_mat_mult_noadd	C = AB	real or complex
S3L_mat_mult_addto	C = D + AB	real or complex
S3L_mat_mult_t1	C = C + ATB	real or complex
S3L_mat_mult_t1_noadd	C = ATB	real or complex
S3L_mat_mult_t1_addto	C = D + ATB	real or complex
S3L_mat_mult_h1	C = C + AHB	complex only
S3L_mat_mult_h1_noadd	C = AHB	complex only
S3L_mat_mult_h1_addto	C = D + AHB	complex only
S3L_mat_mult_t2	C = C + ABT	real or complex
S3L_mat_mult_t2_noadd	C = ABT	real or complex
S3L_mat_mult_t2_addto	C = D + ABT	real or complex
S3L_mat_mult_h2	C = C + ABH	complex only
S3L_mat_mult_h2_noadd	C = ABH	complex only
S3L_mat_mult_h2_addto	C = D + ABH	complex only
S3L_mat_mult_t1_t2	C = C + ATBT	real or complex
S3L_mat_mult_t1_t2	C = C + ATBT	real or complex
S3L_mat_mult_t1_t2_noadd	C = ATBT	real or complex
S3L_mat_mult_t1_t2_addto	C = D + ATBT	real or complex

The algorithm used depends on the axis lengths of the variables supplied.

For calls that do not transpose either matrix A or B, the variables conform correctly with the axis lengths for row_axis and col_axis shown in Table 8-6.

Table 8-6 Recommended row_axis and col_axis Values When Matrix A and Matrix B Are Not Transposed

Variable	row_axis Length	col_axis Length
A	p	q
B	q	r
C	p	r
D	p	r

For calls that transpose the matrix A (A^T), the variables conform correctly with the axis lengths for row_axis and col_axis shown in Table 8-7.

Table 8-7 Recommended row_axis and col_axis Values When Matrices Are Transposed

Variable	row_axis Length	col_axis Length
A	q	p
B	q	r
C	p	r
D	p	r

For calls that transpose the matrix B (B^T), the variables conform correctly with the axis lengths for row_axis and col_axis shown in Table 8-8.

Table 8-8 Recommended row_axis and col_axis Values When Matrix B Is Transposed

Variable	row_axis Length	col_axis Length
A	q	q
B	r	q
C	p	r
D	p	r

For calls that transpose both A and B (A^TB^T), the variables conform correctly with the axis lengths for row_axis and col_axis shown in Table 8-9.

Table 8-9 Recommended row_axis and col_axis Values When Both Matrix A and Matrix B Are Transposed

Variable	row_axis Length	col_axis Length
A	q	p
B	r	q
C	p	r
D	p	r

The algorithm is numerically stable.