As for modeling tools, you could try the Problem-Based Optimization Workflow: https://www.mathworks.com/help/optim/ug/problem-based-workflow.html, which would automatically pick a solver.
You can also use the quadprog solver directly: https://www.mathworks.com/help/optim/ug/quadprog.html
If the problem is a convex quadratic optimization problem you could also try to formulate it as a conic problem for coneprog, see https://www.mathworks.com/help/optim/ug/coneprog.html.
