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doc: Update more docstrings to have one sentence summary as first line. Reviewed io, java, linear-algebra, prefs, and set script directories. * scripts/io/beep.m, scripts/io/dlmwrite.m, scripts/io/importdata.m, scripts/io/strread.m, scripts/io/textread.m, scripts/java/javaArray.m, scripts/java/java_get.m, scripts/java/java_set.m, scripts/java/javaaddpath.m, scripts/java/javachk.m, scripts/java/javaclasspath.m, scripts/java/javamem.m, scripts/java/javarmpath.m, scripts/linear-algebra/bandwidth.m, scripts/linear-algebra/commutation_matrix.m, scripts/linear-algebra/cond.m, scripts/linear-algebra/condest.m, scripts/linear-algebra/cross.m, scripts/linear-algebra/duplication_matrix.m, scripts/linear-algebra/expm.m, scripts/linear-algebra/housh.m, scripts/linear-algebra/isdefinite.m, scripts/linear-algebra/ishermitian.m, scripts/linear-algebra/issymmetric.m, scripts/linear-algebra/istril.m, scripts/linear-algebra/istriu.m, scripts/linear-algebra/krylov.m, scripts/linear-algebra/logm.m, scripts/linear-algebra/normest.m, scripts/linear-algebra/null.m, scripts/linear-algebra/onenormest.m, scripts/linear-algebra/orth.m, scripts/linear-algebra/qzhess.m, scripts/linear-algebra/rank.m, scripts/linear-algebra/rref.m, scripts/linear-algebra/vech.m, scripts/path/matlabroot.m, scripts/prefs/addpref.m, scripts/prefs/getpref.m, scripts/prefs/ispref.m, scripts/prefs/rmpref.m, scripts/prefs/setpref.m, scripts/set/powerset.m, scripts/set/setdiff.m: Update more docstrings to have one sentence summary as first line.
author Rik <rik@octave.org>
date Sun, 03 May 2015 15:36:23 -0700
parents 9fc020886ae9
children
comparison
equal deleted inserted replaced
20159:597991b19e40 20160:03b9d17a2d95
16 ## along with Octave; see the file COPYING. If not, see 16 ## along with Octave; see the file COPYING. If not, see
17 ## <http://www.gnu.org/licenses/>. 17 ## <http://www.gnu.org/licenses/>.
18 18
19 ## -*- texinfo -*- 19 ## -*- texinfo -*-
20 ## @deftypefn {Function File} {} expm (@var{A}) 20 ## @deftypefn {Function File} {} expm (@var{A})
21 ## Return the exponential of a matrix, defined as the infinite Taylor 21 ## Return the exponential of a matrix.
22 ## series 22 ##
23 ## The matrix exponential is defined as the infinite Taylor series
23 ## @tex 24 ## @tex
24 ## $$ 25 ## $$
25 ## \exp (A) = I + A + {A^2 \over 2!} + {A^3 \over 3!} + \cdots 26 ## \exp (A) = I + A + {A^2 \over 2!} + {A^3 \over 3!} + \cdots
26 ## $$ 27 ## $$
27 ## @end tex 28 ## @end tex
30 ## @example 31 ## @example
31 ## expm (A) = I + A + A^2/2! + A^3/3! + @dots{} 32 ## expm (A) = I + A + A^2/2! + A^3/3! + @dots{}
32 ## @end example 33 ## @end example
33 ## 34 ##
34 ## @end ifnottex 35 ## @end ifnottex
35 ## The Taylor series is @emph{not} the way to compute the matrix 36 ## However, the Taylor series is @emph{not} the way to compute the matrix
36 ## exponential; see @nospell{Moler and Van Loan}, @cite{Nineteen Dubious Ways 37 ## exponential; see @nospell{Moler and Van Loan}, @cite{Nineteen Dubious Ways
37 ## to Compute the Exponential of a Matrix}, SIAM Review, 1978. This routine 38 ## to Compute the Exponential of a Matrix}, SIAM Review, 1978. This routine
38 ## uses Ward's diagonal Pad@'e approximation method with three step 39 ## uses Ward's diagonal Pad@'e approximation method with three step
39 ## preconditioning (SIAM Journal on Numerical Analysis, 1977). Diagonal 40 ## preconditioning (SIAM Journal on Numerical Analysis, 1977). Diagonal
40 ## Pad@'e approximations are rational polynomials of matrices 41 ## Pad@'e approximations are rational polynomials of matrices