matrix-p-q-norm ( m p q -- n )

Matrix operations

Matrix operations

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Vocabulary

math.matrices

Inputs

Outputs

Word description

Find the norm (size) of a matrix in L^p,q vector space.

This is the matrix norm for any p, q ∈ ℝ. It is still an entry-wise norm, like matrix-p-norm-entrywise, and is not an induced or Schatten norm.

Examples

Equivalent to l2-norm for p = q = 2 :

See also

matrix-l1-norm, matrix-l2-norm, matrix-l-infinity-norm, matrix-p-norm

Definition

math.matrices

Inputs

m | a matrix |

p | a positive real number |

q | a positive real number |

Outputs

n | a non-negative real number |

Word description

Find the norm (size) of a matrix in L^p,q vector space.

This is the matrix norm for any p, q ∈ ℝ. It is still an entry-wise norm, like matrix-p-norm-entrywise, and is not an induced or Schatten norm.

Examples

Equivalent to l2-norm for p = q = 2 :

USING: math.matrices prettyprint ;
{ { 1 1 } { 1 1 } } 2 2 matrix-p-q-norm .

2.0

2.0

See also

matrix-l1-norm, matrix-l2-norm, matrix-l-infinity-norm, matrix-p-norm

Definition

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