# On Lagrangian duality gap of quadratic fractional programming with a two-sided quadratic constraint

## Meijia Yang

### 2018

We show that the two-sided quadratic constrained quadratic fractional programming, if well scaled, has zero Lagrangian duality gap

## Highlights

• Strong Lagrangian duality holds for the quadratic programming with a two-sided quadratic constraint
• We show that the two-sided quadratic constrained quadratic fractional programming, if well scaled, has zero Lagrangian duality gap
• The identical regularized total least squares problem, we establish the necessary and sufficient condition under which the Lagrangian duality gap is positive