<< maxplusposegv Max-Plus Algebra maxpluspwrbig >>
Max-Plus Algebra >> Max-Plus Algebra > maxpluspwr

maxpluspwr

Max-plus algebra the power of A

Calling Sequence

[Z] = maxpluspwr(A,n)

Parameters

A
: square input matrix
n
: an input non negative integer.
Z
: output matrix, that is equal to A ⊗n

Description

This function returns Z = A⊗n and, Z is an maxplus identity if n = 0. If A is a square matrix, n must be non-negative integers. If A is not a square matrix or n is not non-negative integers operation is not defined.

Examples

a  = [-%inf   -%inf   -%inf     17; 
       4.     7.     -%inf   -%inf;   
      -%inf   -%inf   -%inf     14;  
       15.    13.      13.   -%inf];  
z=maxpluspwr(a,0)
z  =
  
   0.  -Inf  -Inf  -Inf  
   -Inf    0.  -Inf  -Inf  
   -Inf  -Inf    0.  -Inf  
   -Inf  -Inf  -Inf    0.  

z=maxpluspwr(a,4)
z  =
                
   64.    62.    62.    51.  
   43.    41.    41.    53.  
   61.    59.    59.    48.  
   49.    52.    47.    64.   
                      
// An error output if n < 0    
z=maxpluspwr(a,-4)
!--error 10000 
maxpluspwr: empty input matrix or n < 0
at line      22 of function called by :  
z=maxpluspwr(a,-4)  

// The dimension of matrix is not square ( 4 x 3),
// return error
                       
a  = [-%inf   -%inf     13;  
       18.    11.    -%inf;  
      -%inf   -%inf   -%inf;   
       1.   -%inf   -%inf];

z=maxpluspwr(a,4)
!--error 10000 
 maxpluspwr is defined only for square matrix!
 at line      28 of function called by :  
 z=maxpluspwr(a,4)

Authors

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

See Also


<< maxplusposegv Max-Plus Algebra maxpluspwrbig >>