skewdec

Form skew-symmetric matrix

Syntax

X = skewdec(m,n)


Description

X = skewdec(m,n) forms the m-by-m skew-symmetric matrix

$$\left[\begin{array}{cccc}0& -(n+1)& -(n+2)& \dots \\ (n+1)& 0& -(n+3)& \dots \\ (n+2)& (n+3)& 0& \dots \\ \dots & \dots & \dots & \dots \\ \dots & \dots & \dots & \dots \end{array}\right]$$

This function is useful to define skew-symmetric matrix variables. In this case, set n to the number of decision variables already used.

Examples

Skew-Symmetric Matrix

Create a 3-by-3 skew-symmetric matrix for an LMI problem in which n = 2. Display the matrix to verify its form.

X = skewdec(3,2)

X = 3×3

     0    -3    -4
     3     0    -5
     4     5     0

Version History

Introduced before R2006a