File: expm.man

package info (click to toggle)
scilab 2.4-1
  • links: PTS
  • area: non-free
  • in suites: potato, slink
  • size: 55,196 kB
  • ctags: 38,019
  • sloc: ansic: 231,970; fortran: 148,976; tcl: 7,099; makefile: 4,585; sh: 2,978; csh: 154; cpp: 101; asm: 39; sed: 5
file content (32 lines) | stat: -rw-r--r-- 595 bytes parent folder | download | duplicates (2) 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
 
.TH expm G "April 1993" "Scilab Group" "Scilab Function"
.so ../sci.an
.SH NAME
expm - square matrix exponential
.SH CALLING SEQUENCE
.nf
expm(X)
.fi
.SH PARAMETERS
.TP
X
: square matrix with real or complex entries.
.LP
.SH DESCRIPTION

 \fVX\fR is a square matrix \fVexpm(X)\fR is the matrix 
.LA $$ exp(X) = I + X + X^2/2 + ... $$
.IG
expm(X) = I + X + X^2 /2 + ...
.FI
The computation is performed by first 
block-diagonalizing \fVX\fR and then applying a Pade approximation 
on each block.
.SH EXAMPLE
.nf
X=[1 2;3 4]
expm(X)
logm(expm(X))    
.fi
.SH SEE ALSO
logm, bdiag, coff, log, exp