Systems Series Transforms Flashcards
1
Q
How many collocation points does the Interpolating Polynomial P_N(x) have?
A
N+1
x_0, …, x_N
2
Q
Infinity norm of g(x)
A
max x |g(x)|
in [a,b]
3
Q
How many zeros for chebshev polynomial C_n(x)
A
n
4
Q
Condition for Gram-Schmidt Orthogonalisation on a set of functions
A
Set of functions must be
LINEARLY INDEPENDENT
5
Q
Primitive matrix
A
for some k, A^k has only +ve entries
6
Q
All matrix entries of ‘A’ are >= 0 implies…
A
the eigenvalue of A of max magnitude is real and +ve
7
Q
Difference between Markov & Population Projection Matrices
A
Columns don’t have to sum to 1 in Population Projection Matrices
