Mercurial > octave-antonio

annotate doc/interpreter/linalg.txi @ 3372:f16c2ce14886

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
[project @ 1999-11-23 19:07:09 by jwe]
author jwe
date Tue, 23 Nov 1999 19:07:18 +0000
parents bfe1573bd2ae
children 36405da8e173
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
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
22 DOCSTRING(balance)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
23
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
24 DOCSTRING(cond)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
25
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
26 DOCSTRING(det)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
27
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
28 DOCSTRING(eig)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
29
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
30 DOCSTRING(givens)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
31
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
32 DOCSTRING(inv)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
33
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
34 DOCSTRING(norm)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
35
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
36 DOCSTRING(null)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
37
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
38 DOCSTRING(orth)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
39
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
40 DOCSTRING(pinv)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
41
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
42 DOCSTRING(rank)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
43
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
44 DOCSTRING(trace)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
45
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
46 @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
47 @section Matrix Factorizations
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
48
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
49 DOCSTRING(chol)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
50
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
51 DOCSTRING(hess)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
52
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
53 DOCSTRING(lu)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
54
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
55 DOCSTRING(qr)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
56
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
57 DOCSTRING(qz)
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
58
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
59 DOCSTRING(qzhess)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
60
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
61 DOCSTRING(schur)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
62
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
63 DOCSTRING(svd)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
64
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
65 @node Functions of a Matrix, , Matrix Factorizations, Linear Algebra
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
66 @section Functions of a Matrix
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
67
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
68 DOCSTRING(expm)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
69
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
70 DOCSTRING(logm)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
71
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
72 DOCSTRING(sqrtm)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
73
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
74 DOCSTRING(kron)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
75
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3294
diff changeset
76 DOCSTRING(syl)