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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.

4 votes

Nearest matrix orthogonally similar to a given matrix

Depends what you mean by "technique". Your problem is a quadratically constrained quadratic program. To be precise, the objective function is $$\mbox{tr} (A-TBT^t)(A^t - TB^t T^t) = \mbox{tr} ( AA^t …
Igor Rivin's user avatar
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3 votes

Eigenvalue problem with two quadratic constraints

Generically, your system will have no solution, since $\mathbf{x}^t B \mathbf{x}$ is rarely zero for full-rank matrices. In the special case where $B$ is a degenerate symmetric matrix, then $x$ is in …
Igor Rivin's user avatar
  • 96.4k