Operator norm calculator
- Author:
- Juan Carlos Ponce Campuzano
- Topic:
- Real Numbers, Vectors
Let A in L(X,Y). The operator norm is defined as
||A||:=sup{||Ax||: x in X with ||x||=1}
If A is a matrix then ||A|| is the square root of the largest eigenvalue of the symmetric matrix ATA, all of whose eigenvalues are nonnegative.