Mercurial > hg > octave-nkf
comparison scripts/linear-algebra/expm.m @ 10791:3140cb7a05a1
Add spellchecker scripts for Octave and run spellcheck of documentation
interpreter/doccheck: New directory for spelling/grammar scripts.
interpreter/doccheck/README: Instructions for using scripts.
interpreter/doccheck/spellcheck: Script to spellcheck a Texinfo file.
interpreter/doccheck/aspell.conf: GNU Aspell configuration file for
Octave documentation.
interpreter/doccheck/aspell-octave.en.pws: Private Aspell dictionary.
interpreter/doccheck/add_to_aspell_dict: Script to add new
Octave-specific words to
private Aspell dictionary.
interpreter/octave.texi: New @nospell macro which forces Aspell
to ignore the word marked by the macro.
interpreter/mk_doc_cache.m: Skip new @nospell macro when building
doc_cache.
author | Rik <octave@nomad.inbox5.com> |
---|---|
date | Sat, 17 Jul 2010 19:53:01 -0700 |
parents | d1978e7364ad |
children | 1646bd8e3735 |
comparison
equal
deleted
inserted
replaced
10790:01f1643dfbb1 | 10791:3140cb7a05a1 |
---|---|
33 ## | 33 ## |
34 ## @end ifnottex | 34 ## @end ifnottex |
35 ## The Taylor series is @emph{not} the way to compute the matrix | 35 ## The Taylor series is @emph{not} the way to compute the matrix |
36 ## exponential; see Moler and Van Loan, @cite{Nineteen Dubious Ways to | 36 ## exponential; see Moler and Van Loan, @cite{Nineteen Dubious Ways to |
37 ## Compute the Exponential of a Matrix}, SIAM Review, 1978. This routine | 37 ## Compute the Exponential of a Matrix}, SIAM Review, 1978. This routine |
38 ## uses Ward's diagonal | 38 ## uses Ward's diagonal Pad@'e approximation method with three step |
39 ## @tex | 39 ## preconditioning (SIAM Journal on Numerical Analysis, 1977). Diagonal |
40 ## Pad\'e | 40 ## Pad@'e approximations are rational polynomials of matrices |
41 ## @end tex | |
42 ## @ifnottex | |
43 ## Pade' | |
44 ## @end ifnottex | |
45 ## approximation method with three step preconditioning (SIAM Journal on | |
46 ## Numerical Analysis, 1977). Diagonal | |
47 ## @tex | |
48 ## Pad\'e | |
49 ## @end tex | |
50 ## @ifnottex | |
51 ## Pade' | |
52 ## @end ifnottex | |
53 ## approximations are rational polynomials of matrices | |
54 ## @tex | 41 ## @tex |
55 ## $D_q(a)^{-1}N_q(a)$ | 42 ## $D_q(a)^{-1}N_q(a)$ |
56 ## @end tex | 43 ## @end tex |
57 ## @ifnottex | 44 ## @ifnottex |
58 ## | 45 ## |
62 ## D (a) N (a) | 49 ## D (a) N (a) |
63 ## @end group | 50 ## @end group |
64 ## @end example | 51 ## @end example |
65 ## | 52 ## |
66 ## @end ifnottex | 53 ## @end ifnottex |
67 ## whose Taylor series matches the first | 54 ## whose Taylor series matches the first |
68 ## @tex | 55 ## @tex |
69 ## $2 q + 1 $ | 56 ## $2 q + 1 $ |
70 ## @end tex | 57 ## @end tex |
71 ## @ifnottex | 58 ## @ifnottex |
72 ## @code{2q+1} | 59 ## @code{2q+1} |
73 ## @end ifnottex | 60 ## @end ifnottex |
74 ## terms of the Taylor series above; direct evaluation of the Taylor series | 61 ## terms of the Taylor series above; direct evaluation of the Taylor series |
75 ## (with the same preconditioning steps) may be desirable in lieu of the | 62 ## (with the same preconditioning steps) may be desirable in lieu of the |
76 ## @tex | 63 ## Pad@'e approximation when |
77 ## Pad\'e | |
78 ## @end tex | |
79 ## @ifnottex | |
80 ## Pade' | |
81 ## @end ifnottex | |
82 ## approximation when | |
83 ## @tex | 64 ## @tex |
84 ## $D_q(a)$ | 65 ## $D_q(a)$ |
85 ## @end tex | 66 ## @end tex |
86 ## @ifnottex | 67 ## @ifnottex |
87 ## @code{Dq(a)} | 68 ## @code{Dq(a)} |