Natural Norm
Let 
be a Vector Norm of 
such that
Then
is a Matrix Norm which is said to be the natural norm Induced (or Subordinate) to the Vector Norm . For any natural norm,
where
is the Identity Matrix. The natural matrix norms induced by the L1-Norm,L2-Norm, and L(infinity)-Norm are called the MaximumAbsolute Column Sum Norm, Spectral Norm, and Maximum Absolute Row Sum Norm, respectively.
References
Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 5th ed. San Diego, CA: Academic Press, p. 1115, 1979.
- Kimberling Shuffle
- Kings Problem
- King Walk
- Kinney's Set
- Kinoshita-Terasaka Knot
- Kinoshita-Terasaka Mutants
- Kirby Calculus
- Kirby's List
- Kirkman's Schoolgirl Problem
- Kirkman Triple System
- Kissing Circles Problem
- Kissing Number
- Kiss Surface
- Kite
- Klarner-Rado Sequence
- Klarner's Theorem
- Klein-Beltrami Model
- Klein Bottle
- Klein Four-Group
- Klein-Gordon Equation
- Kleinian Group
- Klein Quartic
- Klein's Absolute Invariant
- Klein's Equation
- Klein's Theorem