👉 In mathematics, a semidefinite matrix is a type of matrix that can be written in the form:
| A | x |
|
| y |
|
| z |
where:
- A is an m-by-n matrix,
- x and y are column vectors of length n, and
- z is a vector of length m.
Semidefinite matrices play a crucial role in optimization problems, particularly those involving linear programming. They can be used to represent non