larmm - Man Page

double precision function dlarmm (anorm, bnorm, cnorm)
DLARMM
real function slarmm (anorm, bnorm, cnorm)
SLARMM

DLARMM

Purpose:

 DLARMM returns a factor s in (0, 1] such that the linear updates

    (s * C) - A * (s * B)  and  (s * C) - (s * A) * B

 cannot overflow, where A, B, and C are matrices of conforming
 dimensions.

 This is an auxiliary routine so there is no argument checking.

Parameters

ANORM

          ANORM is DOUBLE PRECISION
          The infinity norm of A. ANORM >= 0.
          The number of rows of the matrix A.  M >= 0.

BNORM

          BNORM is DOUBLE PRECISION
          The infinity norm of B. BNORM >= 0.

CNORM

          CNORM is DOUBLE PRECISION
          The infinity norm of C. CNORM >= 0.

References: C. C. Kjelgaard Mikkelsen and L. Karlsson, Blocked Algorithms for Robust Solution of Triangular Linear Systems. In: International Conference on Parallel Processing and Applied Mathematics, pages 68--78. Springer, 2017.

Definition at line 60 of file dlarmm.f.

SLARMM

Purpose:

 SLARMM returns a factor s in (0, 1] such that the linear updates

    (s * C) - A * (s * B)  and  (s * C) - (s * A) * B

 cannot overflow, where A, B, and C are matrices of conforming
 dimensions.

 This is an auxiliary routine so there is no argument checking.

Parameters

ANORM

          ANORM is REAL
          The infinity norm of A. ANORM >= 0.
          The number of rows of the matrix A.  M >= 0.

BNORM

          BNORM is REAL
          The infinity norm of B. BNORM >= 0.

CNORM

          CNORM is REAL
          The infinity norm of C. CNORM >= 0.

References: C. C. Kjelgaard Mikkelsen and L. Karlsson, Blocked Algorithms for Robust Solution of Triangular Linear Systems. In: International Conference on Parallel Processing and Applied Mathematics, pages 68--78. Springer, 2017.

Definition at line 60 of file slarmm.f.