ISO 4217:2015,

\doccite{Codes for the representation of currencies}

ISO/IEC 10967-1:2012,

\doccite{Information technology --- Language independent arithmetic ---

Part 1: Integer and floating point arithmetic}

ISO/IEC TS 18661-3:2015,

\doccite{Information Technology ---

Programming languages, their environments, and system software interfaces ---

Floating-point extensions for C --- Part 3: Interchange and extended types}

IANA Character Sets Database.

Available from:\newline

\url{https://www.iana.org/assignments/character-sets/}, 2021-04-01

IANA Time Zone Database.

Available from: \url{https://www.iana.org/time-zones}

Unicode Character Mapping Markup Language [online].

Edited by Mark Davis and Markus Scherer. Revision 5.0.1; 2017-05-31

Available from: \url{http://www.unicode.org/reports/tr22/tr22-8.html}

Bjarne Stroustrup,

\doccite{The \Cpp{} Programming Language, second edition}, Chapter R\@.

Addison-Wesley Publishing Company, ISBN 0-201-53992-6, copyright \copyright 1991 AT\&T

Brian W.\ Kernighan and Dennis M. Ritchie,

\doccite{The C Programming Language}, Appendix A\@.

Prentice-Hall, 1978, ISBN 0-13-110163-3, copyright \copyright 1978 AT\&T

P.J.\ Plauger,

\doccite{The Draft Standard \Cpp{} Library}.

Prentice-Hall, ISBN 0-13-117003-1, copyright \copyright 1995 P.J.\ Plauger

J.\ Demmel, I.\ Dumitriu, and O.\ Holtz,

\doccite{Fast linear algebra is stable},

Numerische Mathematik 108 (59--91), 2007.

C.\,L.\ Lawson, R.\,J.\ Hanson, D.\ Kincaid, and F.\,T.\ Krogh,

\doccite{Basic linear algebra subprograms for Fortran usage}.

ACM Trans.\ Math.\ Soft., Vol.\ 5, pp.\ 308--323, 1979.

Jack J.\ Dongarra, Jeremy Du Croz, Sven Hammarling, and Richard J. Hanson,

\doccite{An Extended Set of FORTRAN Basic Linear Algebra Subprograms}.

ACM Trans.\ Math.\ Soft., Vol.\ 14, No.\ 1, pp.\ 1--17, Mar.\ 1988.

Jack J.\ Dongarra, Jeremy Du Croz, Sven Hammarling, and Iain Duff,

\doccite{A Set of Level 3 Basic Linear Algebra Subprograms}.

ACM Trans.\ Math.\ Soft., Vol.\ 16, No.\ 1, pp.\ 1--17, Mar.\ 1990.

E.\ Anderson, Z.\ Bai, C.\ Bischof, S.\ Blackford, J.\ Demmel, J.\ Dongarra,

J.\ Du Croz, A.\ Greenbaum, S.\ Hammarling, A.\ McKenney, D.\ Sorensen

\doccite{LAPACK Users' Guide, Third Edition}.

SIAM, Philadelphia, PA, USA, 1999.

The arithmetic specification described in ISO/IEC 10967-1:2012 is

called \defn{LIA-1} in this document.

\begin{note}

For specializations where the second template parameter is \tcode{true},

this is typically four characters long:

\end{note}

\end{itemdescr}

The class \tcode{text_encoding} describes an interface

\indexlibraryglobal{text_encoding}%

\begin{codeblock}

\begin{note}

This comparison is identical to

the ``Charset Alias Matching'' algorithm

\end{note}

\begin{example}

\addtocounter{SectionDepth}{\value{SectionDepthBase}}

\Sec{\arabic{SectionDepth}}[#2]{#3}}

the function satisfies the complexity requirements; and

the function is logarithmically stable,

Strassen's algorithm for matrix-matrix multiply

is an example of a logarithmically stable algorithm.

\end{itemize}

\rSec3[linalg.algs.blas1.givens]{Givens rotations}

\rSec4[linalg.algs.blas1.givens.lartg]{Compute Givens rotation}

\begin{itemdecl}

whose first component $r$ is the Euclidean norm of the input vector, and

whose second component is zero.

\begin{note}

\end{note}

\begin{itemdescr}

\begin{note}

\end{note}

\begin{itemdescr}

\begin{note}

\end{note}

\begin{itemdescr}

\begin{note}

\end{note}

\begin{itemdescr}

\begin{note}

\end{note}

\begin{itemdescr}

\begin{note}

\end{note}

\begin{note}

The functions in this section correspond to the BLAS

\end{note}

\begin{itemdescr}

\begin{note}

\end{note}

\begin{itemdescr}

\begin{note}

\end{note}

\begin{note}

These functions correspond to the BLAS functions

\end{note}

\begin{itemdescr}

\begin{note}

\end{note}

\begin{note}

These functions correspond to the BLAS functions

\end{note}

\begin{note}

These functions correspond to the BLAS functions

\end{note}

\begin{note}

These functions correspond to the BLAS functions

\end{note}

\begin{note}

These functions correspond to the BLAS functions

\end{note}

\begin{note}

These functions correspond to the BLAS functions

\tcode{xGER} (for real element types) and

\end{note}

\begin{note}

These functions correspond to the BLAS functions

\tcode{xGER} (for real element types) and

\end{note}

\begin{note}

These functions correspond to the BLAS functions

They have overloads taking a scaling factor \tcode{alpha},

because it would be impossible to express the update

$A = A - x x^T$ otherwise.

\begin{note}

These functions correspond to the BLAS functions

\end{note}

\begin{note}

\end{note}

\begin{note}

These functions correspond to the BLAS functions

\end{note}

the \tcode{Triangle} and \tcode{Diagonal\-Storage} parameters

that apply to the triangular matrix \tcode{A}\iref{linalg.general}.

\begin{note}

\end{note}

\begin{itemdecl}

\begin{note}

These functions correspond to the BLAS functions

\end{note}

\begin{note}

These functions correspond to the BLAS functions

\end{note}

\begin{note}

\end{note}

\begin{itemdecl}

\begin{note}

\end{note}

\begin{itemdecl}

\ref{time.zone} describes an interface for accessing

that interoperates with \tcode{sys_time} and \tcode{local_time}.

This interface provides time zone support to

both the civil calendar types\iref{time.cal}