abs

Absolute value and complex magnitude

Syntax

Description

example

Y = abs(X) returns the absolute value of each element in array X.

If X is complex, abs(X) returns the complex magnitude.

Examples

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Absolute Value of Scalar

y = abs(-5)
y =

     5

Absolute Value of Vector

Create a numeric vector of real values.

x = [1.3 -3.56 8.23 -5 -0.01]'
x =

    1.3000
   -3.5600
    8.2300
   -5.0000
   -0.0100

Find the absolute value of the elements of the vector.

y = abs(x)
y =

    1.3000
    3.5600
    8.2300
    5.0000
    0.0100

Magnitude of Complex Number

y = abs(3+4i)
y =

     5

Input Arguments

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X — Input arrayscalar | vector | matrix | multidimensional array

Input array, specified as a scalar, vector, matrix, or multidimensional array. X can be a single array, double array, signed integer array, or duration array. The size and data type of the output array is the same as the input array.

Complex Number Support: Yes

More About

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Absolute Value

The absolute value (or modulus) of a real number is the corresponding nonnegative value that disregards the sign.

For a real value, a, the absolute value is:

  • a, if a is greater than or equal to zero

  • -a, if a is less than zero

abs(-0) returns 0.

Complex Magnitude

The complex magnitude (or modulus) is the length of a vector from the origin to a complex value plotted in the complex plane.

For a complex value, |a+bi| is defined as a2+b2.

See Also

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