- A library of linear algebra routines

Basic Linear Algebra Subroutines Level 3 (BLAS 3) are a part of the Compaq Extended Math Library (CXML). The BLAS Level 3 subprograms perform operations of a higher granularity than the BLAS Level 2 subprograms. These include matrix-matrix operations:•Matrix-matrix products•Rank-k updates of a symmetric matrix•Multiplying a matrix by a triangular matrix•Solving triangular systems of equations with multiple right hand sides The functionality of the public domain BLAS3 has been enhanced by the inclusion of the following routines:•Matrix addition•Matrix subtraction•Matrix transpose Where appropriate, the operations are performed on matrices that are:•General•Symmetric•Triangular The following routines are included in BLAS 3. The Subprogram Name is the name of the manual page containing documentation on the subprogram. Routine Name Operation sgema Calculates, in single-precision arithmetic, the sum of two real general matrices or their transposes. dgema Calculates, in double-precision arithmetic, the sum of two real general matrices or their transposes. cgema Calculates, in single-precision arithmetic, the sum of two complex general matrices, their transposes, their conjugates, or their conjugate transposes. zgema Calculates, in double-precision arithmetic, the sum of two complex general matrices, their transposes, their conjugates, or their conjugate transposes. sgemm Calculates, in single-precision arithmetic, a matrix-matrix product and addition for real general matrices or their transposes. dgemm Calculates, in double-precision arithmetic, a matrix-matrix product and addition for real general matrices or their transposes. cgemm Calculates, in single-precision arithmetic, a matrix-matrix product and addition for complex general matrices, their transposes, their conjugates, or their conjugate transposes. zgemm Calculates, in double-precision arithmetic, a matrix-matrix product and addition for complex general matrices, their transposes, their conjugates, or their conjugate transposes. sgems Calculates, in single-precision arithmetic, the difference of two real general matrices or their transposes. dgems Calculates, in double-precision arithmetic, the difference of two real general matrices or their transposes. cgems Calculates, in single-precision arithmetic, the difference of two complex general matrices, their transposes, their conjugates, or their conjugate transposes. zgems Calculates, in double-precision arithmetic, the difference of two complex general matrices, their transposes, their conjugates, or their conjugate transposes. sgemt Copies a single-precision, real general matrix or its transpose. dgemt Copies a double-precision, real general matrix or its transpose. cgemt Copies a single-precision, complex general matrix, its transpose, its conjugate, or its conjugate transpose. zgemt Copies a double-precision, complex general matrix, its transpose, its conjugate, or its conjugate transpose. ssymm Calculates, in single-precision arithmetic, a matrix-matrix product and addition where a matrix multiplier is a real symmetric matrix. dsymm Calculates, in double-precision arithmetic, a matrix-matrix product and addition where a matrix multiplier is a real symmetric matrix. csymm Calculates, in single-precision arithmetic, a matrix-matrix product and addition where a matrix multiplier is a complex symmetric matrix. zsymm Calculates, in double-precision arithmetic, a matrix-matrix product and addition where a matrix multiplier is a complex symmetric matrix. chemm Calculates, in single-precision arithmetic, a matrix-matrix product and addition where a matrix multiplier is a complex Hermitian matrix. zhemm Calculates, in double-precision arithmetic, a matrix-matrix product and addition where a matrix multiplier is a complex Hermitian matrix. ssyrk Calculates, in single-precision arithmetic, the rank-k update of a real symmetric matrix. dsyrk Calculates, in double-precision arithmetic, the rank-k update of a real symmetric matrix. csyrk Calculates, in single-precision arithmetic, the rank-k update of a complex symmetric matrix. zsyrk Calculates, in double-precision arithmetic, the rank-k update of a complex symmetric matrix. cherk Calculates, in single-precision arithmetic, the rank-k update of a complex Hermitian matrix. zherk Calculates, in double-precision arithmetic, the rank-k update of a complex Hermitian matrix. ssyr2k Calculates, in single-precision arithmetic, the rank-2k update of a real symmetric matrix. dsyr2k Calculates, in double-precision arithmetic, the rank-2k update of a real symmetric matrix. csyr2k Calculates, in single-precision arithmetic, the rank-2k update of a complex symmetric matrix. zsyr2k Calculates, in double-precision arithmetic, the rank-2k update of a complex symmetric matrix. cher2k Calculates, in single-precision arithmetic, the rank-2k update of a complex Hermitian matrix. zher2k Calculates, in double-precision arithmetic, the rank-2k update of a complex Hermitian matrix. strmm Calculates, in single-precision arithmetic, a matrix-matrix product for a real triangular matrix or its transpose. dtrmm Calculates, in double-precision arithmetic, a matrix-matrix product for a real triangular matrix or its transpose. ctrmm Calculates, in single-precision arithmetic, a matrix-matrix product for a complex triangular matrix, its transpose, or its conjugate transpose. ztrmm Calculates, in double-precision arithmetic, a matrix-matrix product for a complex triangular matrix, its transpose, or its conjugate transpose. strsm Solves, in single-precision arithmetic, a triangular system of equations where the coefficient matrix is a real triangular matrix. dtrsm Solves, in double-precision arithmetic, a triangular system of equations where the coefficient matrix is a real triangular matrix. ctrsm Solves, in single-precision arithmetic, a triangular system of equations where the coefficient matrix is a complex triangular matrix. ztrsm Solves, in double-precision arithmetic, a triangular system of equations where the coefficient matrix is a complex triangular matrix.