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Matrix 2-norm
(
∥
A
∥
2
)
...
Mathematics
Area of mathematics
Analysis
Functional analysis
Continuous dual space
Operator norm
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Words: 26
The matrix 2-norm is the
operator norm
induced by the
Euclidean norm
:
∥
A
∥
2
=
sup
x
=
0
∥
x
∥
2
∥
A
x
∥
2
.
(45)
It equals the largest
singular value
of
A
and is invariant under multiplication by
orthogonal
or
unitary
matrices.
Ancestors
(7)
Operator norm
Continuous dual space
Functional analysis
Analysis
Area of mathematics
Mathematics
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