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A quadratically constrained quadratic program (QCQP) is an optimization problem in which both the objective function and the constraints are quadratic functions.

2 votes

Nearest matrix orthogonally similar to a given matrix

Regardless of the objective function, the constraints are non-convex, so the overall optimization problem is non-convex. Solve it using numerical optimization on matrix manifolds, specifically, the G …
Mark L. Stone's user avatar
2 votes

Eigenvalue problem with two quadratic constraints

Because no one has offered a solution meeting your ideal of using a standard numerical linear algorithm, I will offer an approach using the global numerical nonlinear optimizer BARON. Here is a solut …
Mark L. Stone's user avatar