Vocabulary

math.matrices

Inputs

Outputs

Word description

Find the entry-wise norm of a matrix, in 𝑙ₚ ( L^p ) vector space.

Notes

This word is not an induced or Schatten norm, and it is distinct from all of matrix-l1-norm, matrix-l2-norm, matrix-l-infinity-norm.

Examples

Definition

math.matrices

Inputs

m | a matrix |

p | a positive real number |

Outputs

n | a non-negative real number |

Word description

Find the entry-wise norm of a matrix, in 𝑙ₚ ( L^p ) vector space.

Notes

This word is not an induced or Schatten norm, and it is distinct from all of matrix-l1-norm, matrix-l2-norm, matrix-l-infinity-norm.

Examples

USING: math.matrices prettyprint ;
4 4 1 <matrix> 2 matrix-p-norm-entrywise .

4.0

4.0

Definition

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Factor 0.99 x86.64 (2203, heads/master-424edf64aa, Mar 8 2023 13:48:50)