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Evaluating A Descending Polynomial Using Matrix Multiplication
 Syntax polyvalm(p, x) See Also polyval , polval

Description
Returns the evaluation of the descending polynomial corresponding to p at the square matrix x. The return value is
n-1                 1            0
p[x] = p  x     + ... +  p    x     +  p   x
1                 n-1           n
where n is the length of the vector p and
0                                  i+1        i
x  = I  and for i = 2, ... , n-1,  x    = x * x
where * denotes matrix multiplication and I denotes the identity matrix with same dimensions as x. The integer, real, double-precision, or complex vector p specifies the polynomial to be evaluated. The integer, real, double-precision, or complex matrix x specifies the argument to the polynomial. The return matrix has the same dimension as x and the same type as a binary operation between p and x. (See the coercion entry in the O-Matrix User's Guide.)

Example
If you enter
p = [1, 1, 1]
x = { ...
[ 1 , -1 ], ...
[ 0 ,  1 ] ...
}
polyvalm(p, x)