File: expm.man

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.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