From 4b817fe31e2e7d49928c47e554e5c95cf617142a Mon Sep 17 00:00:00 2001 From: Raymond Toy Date: Tue, 12 Nov 2024 07:48:58 -0800 Subject: [PATCH] Add mathjax for dgeqrf --- doc/info/lapack.texi.m4 | 19 +++++++++++++++++-- 1 file changed, 17 insertions(+), 2 deletions(-) diff --git a/doc/info/lapack.texi.m4 b/doc/info/lapack.texi.m4 index 387b85a3d..29df6954b 100644 --- a/doc/info/lapack.texi.m4 +++ b/doc/info/lapack.texi.m4 @@ -133,9 +133,24 @@ All elements of @var{A} must be integer or floating point numbers. To make use of this function, you must load the LaPack package via @code{load("lapack")}. +The real square matrix +m4_math(<<<\mathbf{A}>>>, <<>>, <<<{\bf A}>>>) +can be decomposed as +m4_displaymath( +<<<\mathbf{A} = \mathbf{Q}\mathbf{R}>>>, +<<>>, +<<<{\bf A} = {\bf Q} {\bf R}>>>) + +where +m4_math(<<<{\bf Q}>>>, {{{Q}}}) +is a square orthogonal matrix with the same number of rows as +m4_math(<<<\mathbf{A}>>>, <<>>, <<<{\bf A}>>>) +and +m4_math(<<<{\bf R}>>>, {{{R}}}) +is an upper triangular matrix. + A list of two items is returned. -The first item is the matrix @var{Q}, which is a square, orthonormal matrix -which has the same number of rows as @var{A}. +The first item is the matrix @var{Q}. The second item is the matrix @var{R}, which is the same size as @var{A}, and which has all elements equal to zero below the diagonal. The product @code{@var{Q} . @var{R}}, where "." is the noncommutative multiplication operator, -- 2.11.4.GIT