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Max-Plus Algebra >> Max-Plus Algebra > maxplusaplus

maxplusaplus

max-plus algebra A λ +

[ap
,
lam] = maxplusaplus(A)

Parameters

A
: an input square matrix
ap
: is an ouput matrix of size as matrix A.
lam
: is an output scalar, eigenvalue of matrix A.

Description

The function returns

ap = Aλ⊕Aλ2⊕Aλ3⊕⋯⊕Aλn ,

where Aλ = A-λ , with λ is an eigenvalue of A , and an error if matrix A does not has a unique eigenvalue.

Examples

e=-%inf;
a=[1 2 e;4 e 3;e 5 e]
a   =

   1.    2.  -Inf
   4.  -Inf    3.
 -Inf    5.  -Inf 
[ap,lam]=maxplusaplus(a)
lam  =

    4.
ap  =

 - 2.  - 2.  - 3.
   0.    0.  - 1.
   1.    1.    0.

Author

"Max-Plus Algebra Toolbox", ver. 1.01, April, 2009.

See Also


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