NORMAS DE MATRICES
Si A = [[ aij ]]
Norma matricial inducida correspondiente a la norma p para vectores
Norma ǁ . ǁ₁ (norma columna o norma máxima suma de las columnas)
HP50G User RPL
CNRM
HP50G System RPL
ˆMATCNORM
HP Prime
COLNORM
MATLAB
norm(A,1)
Norma ǁ . ǁ∞ (norma fila o norma máxima suma de las filas)
HP50G User RPL
RNRM
HP50G System RPL
ˆMATRNORM
HP Prime
ROWNORM
MATLAB
norm(A,inf)
Norma ǁ . ǁ₂ (norma espectral)
HP50G User RPL
SNRM
HP Prime
SPECNORM
MATLAB
norm(A)
norm(A,2)
Norma componente a componente o Entrywise
Las normas componente a componente son normas matriciales si y sólo si 1 ≤ p ≤ 2
HP50G User RPL ( A p → normapcc )
« A p « A ARRY EVAL * LIST ABS p ^ …LIST p INV ^ » »
MATLAB
sum(sum(abs(A.^p)))^(1/p)
Norma de Frobenius (norma de Hilbert-Schmidt)
HP50G User RPL
ABS
HP50G System RPL
ˆMATFNORM
HP Prime
ABS
MATLAB
norm(A,'fro')
Norma máxima
HP50G User RPL
« ARRY EVAL * ARRY RNRM »
MATLAB
max(max(abs(A)))
Norma suma
HP50G User RPL
« ARRY EVAL * ARRY CNRM »
MATLAB
sum(sum(abs(A)))