.TH "larmm" 3 "Wed Feb 7 2024 11:30:40" "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
larmm \- larmm: scale factor to avoid overflow, step in latrs
.SH SYNOPSIS
.br
.PP
.SS "Functions"

.in +1c
.ti -1c
.RI "double precision function \fBdlarmm\fP (anorm, bnorm, cnorm)"
.br
.RI "\fBDLARMM\fP "
.ti -1c
.RI "real function \fBslarmm\fP (anorm, bnorm, cnorm)"
.br
.RI "\fBSLARMM\fP "
.in -1c
.SH "Detailed Description"
.PP 

.SH "Function Documentation"
.PP 
.SS "double precision function dlarmm (double precision anorm, double precision bnorm, double precision cnorm)"

.PP
\fBDLARMM\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 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\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIANORM\fP 
.PP
.nf
          ANORM is DOUBLE PRECISION
          The infinity norm of A\&. ANORM >= 0\&.
          The number of rows of the matrix A\&.  M >= 0\&.
.fi
.PP
.br
\fIBNORM\fP 
.PP
.nf
          BNORM is DOUBLE PRECISION
          The infinity norm of B\&. BNORM >= 0\&.
.fi
.PP
.br
\fICNORM\fP 
.PP
.nf
          CNORM is DOUBLE PRECISION
          The infinity norm of C\&. CNORM >= 0\&.
.fi
.PP
 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\&. 
.RE
.PP

.SS "real function slarmm (real anorm, real bnorm, real cnorm)"

.PP
\fBSLARMM\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 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\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIANORM\fP 
.PP
.nf
          ANORM is REAL
          The infinity norm of A\&. ANORM >= 0\&.
          The number of rows of the matrix A\&.  M >= 0\&.
.fi
.PP
.br
\fIBNORM\fP 
.PP
.nf
          BNORM is REAL
          The infinity norm of B\&. BNORM >= 0\&.
.fi
.PP
.br
\fICNORM\fP 
.PP
.nf
          CNORM is REAL
          The infinity norm of C\&. CNORM >= 0\&.
.fi
.PP
 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\&. 
.RE
.PP

.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.