matrix-l-infinity-norm ( m -- n )

Matrix operations

Matrix operations

Prev: | matrix-l2-norm ( m -- n ) |

Next: | matrix-p-norm ( m p -- n ) |

Vocabulary

math.matrices

Inputs

Outputs

Word description

Find the norm (size) of a matrix, in 𝑙∞ ( L^∞ ) vector space, usually written ∥･∥∞.

This is the matrix norm when p=∞, and is the overall maximum of the sums of the rows.

Notes

Examples

See also

matrix-l1-norm, matrix-l2-norm, matrix-p-norm, matrix-p-q-norm

Definition

math.matrices

Inputs

m | a matrix |

Outputs

n | a number |

Word description

Find the norm (size) of a matrix, in 𝑙∞ ( L^∞ ) vector space, usually written ∥･∥∞.

This is the matrix norm when p=∞, and is the overall maximum of the sums of the rows.

Notes

• | User code should call the generic l1-norm instead. |

• | This word is the matrix-specific variant of l-infinity-norm. |

• | This word is the p = ∞ variant of matrix-p-norm. |

• | This word is the transpose variant of matrix-l1-norm. |

• | This word is intended for use with "flat" (2-dimensional) matrices. |

Examples

USING: math.matrices prettyprint ;
{ { 2 -2 1 } { 1 3 -1 } { 2 -4 2 } } matrix-l-infinity-norm .

8

8

See also

matrix-l1-norm, matrix-l2-norm, matrix-p-norm, matrix-p-q-norm

Definition

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