L-p norm of a given complex vectorMehmet Suzen
For real vectors, the absolute value sign indicating that a complex modulus is being taken on the right of equation (2) may be dropped. So, for example, the -norm of the vector is given by (3) The -norm is also known as the Euclidean norm. However, this terminology is not recomm...
Thus, the formula for the norm of a complex vector is not very different from the formula for real vectors: we just need to replace the absolute values of the entries of the vector with their moduli. ExampleDefine Then Solved exercises Below you can find some exercises with explained solution...
The norm of a complex numbera + biis(a2+ b2*).* The norm of a complex number is the square of its modulus. The modulus of a complex number is a measure of the length of the vector representing the complex number. The modulus of a complex numbera + biissqrt*(a2+ b2),* written|...
Ok, so you have a more complex vector. I would note that what you claim you tried is meaningless, because it uses undefined variables, etc. What is wrong with norm(V)? And if that does not work, then what is wrong with sqrt(sum(V.^2))?
Complex Number Support:Yes p—Norm type 2(default) |positive real scalar|Inf|-Inf Norm type, specified as2(default), a positive real scalar,Inf, or-Inf. The valid values ofpand what they return depend on whether the first input tonormis a matrix or vector, as shown in the table. ...
Complex Number Support:Yes p—Norm type 2(default) |positive real scalar|Inf|-Inf Norm type, specified as2(default), a positive real scalar,Inf, or-Inf. The valid values ofpand what they return depend on whether the first input tonormis a matrix or vector, as shown in the table. ...
Complex Number Support:Yes p—Norm type 2(default) |positive real scalar|Inf|-Inf Norm type, specified as2(default), a positive real scalar,Inf, or-Inf. The valid values ofpand what they return depend on whether the first input tonormis a matrix or vector, as shown in the table. ...
Norm[expr] gives the norm of a number, vector, or matrix. Norm[expr,p] gives the ‐norm. Details and OptionsExamplesopen all Basic Examples(2) Norm of a vector: In[1]:= Out[1]= Norm of a complex number: In[1]:= Out[1]= Scope(3) Generalizations & Extensions(6) ...
c. A pattern of behavior considered acceptable or proper by a social group: violated the norms of his community. 2. Mathematics a. An average. b. The magnitude of a vector. c. The modulus of a complex number. tr.v. normed, norm·ing, norms 1. To establish or judge in reference...