NORMAS DE VECTORES

Si X = [ x₁ x₂ ... xₙ ]

Norma 1 (norma suma)

ǁXǁ = |x₁| + |x₂| + ... + |xₙ|

HP50G User RPL

CNRM

HP50G System RPL

ˆMATCNORM

HP Prime

l1norm

MATLAB

norm(X,1)


Norma 2 (norma euclidiana)

ǁXǁ₂ = { |x₁|² + |x₂|² + ... + |xₙ|² } ¹ ʹ ²

HP50G User RPL

SNRM

ABS

HP50G System RPL

ˆMATFNORM

HP Prime

l2norm

MATLAB

norm(X)

norm(X,2)

norm(X,'fro')


Norma ∞ (norma max o norma de Chebyshev)

ǁXǁ∞ = max { |x₁| , |x₂| , ... , |xₙ| }

HP50G User RPL

RNRM

HP50G System RPL

ˆMATRNORM

HP Prime

maxnorm

MATLAB

norm(X,'inf')


Norma p (norma general de vectores)

ǁXǁₚ = { |x₁|ᴾ + |x₂|ᴾ + ... + |xₙ|ᴾ } ¹ ʹ ᴾ

HP50G User RPL ( X p → normap )

«  X p « X AXL ABS p ^ …LIST p INV ^ » »



MATLAB

norm(X,p)