symdec

Form symmetric matrix

Syntax

x = symdec(m,n)

Description

symdec(m,n) forms an m-by-m symmetric matrix of the form

$$\left[\begin{array}{cccc}(n+1)& (n+2)& (n+4)& \dots \\ (n+2)& (n+3)& (n+5)& \dots \\ (n+4)& (n+5)& (n+6)& \dots \\ \dots & \dots & \dots & \dots \\ \dots & \dots & \dots & \dots \end{array}\right]$$

This function is useful to define symmetric matrix variables. n is the number of decision variables.

Examples

Symmetric Matrix

Create a 4-by-4 symmetric matrix for an LMI problem in which n = 2. Display the matrix to verify its form.

X = symdec(4,2)

X = 4×4

     3     4     6     9
     4     5     7    10
     6     7     8    11
     9    10    11    12

Version History

Introduced before R2006a