4 problems

Exactness conjecture. Under additional assumptions, exactness should be possible, so that the parameters $\theta^\nu$ can remain bounded.

Let $F(y,p)=0$ denote the optimality system for the regularized PDE-constrained optimal control problem, and let … be its homotopy path as $(\gamma,\delta)$ varies, with…

The Poisson parameter $m$ and the acoustic wave velocity are reconstructed in a multi-physics joint inverse problem, using nuclear norm joint regularization and a gradient-based me…

Let $S_2,S_3,\ldots$ be the successive Schur complements arising in the block LU factorization of the system matrix. For an off-diagonal block of one of these matrices, define its…