Mercurial > octave-antonio

annotate doc/interpreter/linalg.txi @ 3428:5b77cf82393c

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
[project @ 2000-01-14 02:54:53 by jwe]
author jwe
date Fri, 14 Jan 2000 02:55:00 +0000
parents 36405da8e173
children aae05d51353c
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
1 @c Copyright (C) 1996, 1997 John W. Eaton
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
2 @c This is part of the Octave manual.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
3 @c For copying conditions, see the file gpl.texi.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
4
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
5 @node Linear Algebra, Nonlinear Equations, Arithmetic, Top
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
6 @chapter Linear Algebra
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
7
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
8 This chapter documents the linear algebra functions of Octave.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
9 Reference material for many of these functions may be found in
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
10 Golub and Van Loan, @cite{Matrix Computations, 2nd Ed.}, Johns Hopkins,
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
11 1989, and in @cite{@sc{Lapack} Users' Guide}, SIAM, 1992.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
12
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
13 @menu
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
14 * Basic Matrix Functions::
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
15 * Matrix Factorizations::
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
16 * Functions of a Matrix::
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
17 @end menu
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
18
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
19 @node Basic Matrix Functions, Matrix Factorizations, Linear Algebra, Linear Algebra
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
20 @section Basic Matrix Functions
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
21
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
22 @DOCSTRING(balance)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
23
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
24 @DOCSTRING(cond)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
25
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
26 @DOCSTRING(det)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
27
3428
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3373
diff changeset
28 @DOCSTRING(dmult)
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3373
diff changeset
29
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3373
diff changeset
30 @DOCSTRING(dot)
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3373
diff changeset
31
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
32 @DOCSTRING(eig)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
33
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
34 @DOCSTRING(givens)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
35
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
36 @DOCSTRING(inv)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
37
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
38 @DOCSTRING(norm)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
39
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
40 @DOCSTRING(null)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
41
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
42 @DOCSTRING(orth)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
43
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
44 @DOCSTRING(pinv)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
45
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
46 @DOCSTRING(rank)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
47
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
48 @DOCSTRING(trace)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
49
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
50 @node Matrix Factorizations, Functions of a Matrix, Basic Matrix Functions, Linear Algebra
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
51 @section Matrix Factorizations
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
52
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
53 @DOCSTRING(chol)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
54
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
55 @DOCSTRING(hess)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
56
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
57 @DOCSTRING(lu)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
58
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
59 @DOCSTRING(qr)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
60
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
61 @DOCSTRING(qz)
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
62
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
63 @DOCSTRING(qzhess)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
64
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
65 @DOCSTRING(schur)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
66
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
67 @DOCSTRING(svd)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
68
3428
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3373
diff changeset
69 @c XXX FIXME XXX -- should there be a new section here?
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3373
diff changeset
70
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3373
diff changeset
71 @DOCSTRING(housh)
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3373
diff changeset
72
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3373
diff changeset
73 @DOCSTRING(krylov)
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3373
diff changeset
74
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
75 @node Functions of a Matrix, , Matrix Factorizations, Linear Algebra
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
76 @section Functions of a Matrix
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
77
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
78 @DOCSTRING(expm)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
79
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
80 @DOCSTRING(logm)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
81
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
82 @DOCSTRING(sqrtm)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
83
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
84 @DOCSTRING(kron)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
85
3373
36405da8e173 [project @ 1999-11-23 20:54:17 by jwe]
jwe
parents: 3372
diff changeset
86 @DOCSTRING(syl)