Naming Conventions

      IMPLICIT COMPLEX (C)

      IMPLICIT DOUBLE PRECISION (D)

      IMPLICIT INTEGER (I-N)

      IMPLICIT REAL*16 (Q)

      IMPLICIT REAL (S)

      IMPLICIT DOUBLE COMPLEX (Z)

      CHARACTER UPLO, TRANSA, DIAG

The first letter of a subroutine name identifies the type of the result. The next two letters indicate the form of matrix involved. The possible forms are:

GB	General in banded storage
GE	General
HB	Hermitian in banded storage
HE	Hermitian
HP	Hermitian in packed storage
SB	Symmetric in banded storage
SP	Symmetric in packed storage
SY	Symmetric
TB	Triangular in banded storage
TP	Triangular in packed storage
TR	Triangular

The fourth and fifth letters indicate the operation that the subroutine performs:

MV	Matrix-vector product
R	Rank-one update
R2	Rank-two update
SV	Solve a triangular system of linear equations

To specify the group of subroutines that perform the same operation but are of different types, this manual uses a lowercase x. For example, xGEMV refers to the subroutines DGEMV, SGEMV, ZGEMV, and CGEMV. This same convention is used for arguments: xA refers to the arguments DA, SA, ZA, and CA.

A^-1 denotes the inverse of the square matrix stored in the array A. Whenever the symbol A^-1 appears it is assumed that the numerical inverse of A exists. A^T denotes the transpose of A and A^H denotes the conjugate transpose of A for a complex A.