Scilab 5.3.3
- Scilab help
- Linear Algebra
- aff2ab
- balanc
- bdiag
- chfact
- chol
- chsolve
- classmarkov
- cmb_lin
- coff
- colcomp
- companion
- cond
- det
- eigenmarkov
- ereduc
- expm
- fstair
- fullrf
- fullrfk
- genmarkov
- givens
- glever
- gschur
- gspec
- hess
- householder
- im_inv
- inv
- kernel
- kroneck
- linsolve
- lsq
- lu
- lyap
- nlev
- orth
- pbig
- pencan
- penlaur
- pinv
- polar
- proj
- projspec
- psmall
- qr
- quaskro
- randpencil
- range
- rank
- rankqr
- rcond
- rowcomp
- rowshuff
- rref
- schur
- spaninter
- spanplus
- spantwo
- spec
- sqroot
- squeeze
- sva
- svd
- sylv
- trace
Please note that the recommended version of Scilab is 2025.0.0. This page might be outdated.
See the recommended documentation of this function
projspec
spectral operators
Calling Sequence
[S,P,D,i]=projspec(A)
Arguments
- A
square matrix
- S, P, D
square matrices
- i
integer (index of the zero eigenvalue of
A
).
Description
Spectral characteristics of A
at 0.
S
= reduced resolvent at 0 (S
= -Drazin_inverse(A
)).
P
= spectral projection at 0.
D
= nilpotent operator at 0.
index
= index of the 0 eigenvalue.
One has (s*eye()-A)^(-1) = D^(i-1)/s^i +... + D/s^2 + P/s - S - s*S^2 -...
around the singularity s=0.
Examples
See Also
- coff — resolvent (cofactor method)
Authors
F. D.; ;
<< proj | Linear Algebra | psmall >> |