Scilab 5.3.3
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- Linear Algebra
- aff2ab
- balanc
- bdiag
- chfact
- chol
- chsolve
- classmarkov
- cmb_lin
- coff
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- companion
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- det
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- ereduc
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- givens
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- im_inv
- inv
- kernel
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- linsolve
- lsq
- lu
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- 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 This page might be outdated.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
balanc
matrix or pencil balancing
Calling Sequence
[Ab,X]=balanc(A) [Eb,Ab,X,Y]=balanc(E,A)
Arguments
- A:
a real square matrix
- X:
a real square invertible matrix
- E:
a real square matrix (same dimension as
A
)- Y:
a real square invertible matrix.
Description
Balance a square matrix to improve its condition number.
[Ab,X] = balanc(A)
finds a similarity transformation
X
such that
Ab = inv(X)*A*X
has approximately equal row and column norms.
For matrix pencils,balancing is done for improving the generalized eigenvalue problem.
[Eb,Ab,X,Y] = balanc(E,A)
returns left and right transformations X
and Y
such that Eb=inv(X)*E*Y, Ab=inv(X)*A*Y
Remark
Balancing is made in the functions bdiag
and spec
.
Examples
See Also
<< aff2ab | Linear Algebra | bdiag >> |