in this paper, an iterative method is proposed for solving the matrix inverse problem $ax=b$ for hermitian-generalized hamiltonian matrices with a submatrix constraint. by this iterative method, for any initial matrix $a_0$, a solution $a^*$ can be obtained in finite iteration steps in the absence of roundoff errors, and the solution with least norm can be obtained by choosing a special kind of...

Efficient solution methods are investigated in this paper for solving the linear system of equations resulting from the recently developed boundary element method ~BEM! for the coupled structural acoustic analysis @S. H. Chen and Y. J. Liu, J. Acoust. Soc. Am. 106, Pt. 1, 1247–1254 ~1999!#. An iterative solver, namely, the quasiminimal residual method ~QMR!, is selected among others and found t...

In this paper we propose three iterative greedy algorithms for compressed sensing, called iterative alternating direction (IAD), normalized iterative alternating direction (NIAD) and alternating direction pursuit (ADP), which stem from the iteration steps of alternating direction method of multiplier (ADMM) for `0-regularized least squares (`0-LS) and can be considered as the alternating direct...

In PET imaging listmode is an alternative for projections to store the acquisition data with more accuracy. The reconstruction starting from the listmode format requires different approaches than projection based algorithms. The ML-EM algorithm was modified to start from the listmode format. For listmode data mage degrading effects can be classified into two groups. Internal LOR effects (like a...