Let C and Q be nonempty closed convex sets in RN and RM , respectively, and A an M by N real matrix. The split feasibility problem (SFP) is to find x âˆˆ C with Ax âˆˆ Q, if such x exist. An iterativeâ€¦ (More)

Let T be a (possibly nonlinear) continuous operator on Hilbert space H. If, for some starting vector x , the orbit sequence {T k x, k = 0, 1, . . .} converges, then the limit z is a fixed point of Tâ€¦ (More)

When the nonnegative system of linear equations y = Px has no nonnegative exact solutions, block-iterative methods fail to converge, exhibiting, instead, subsequential convergence leading to a limitâ€¦ (More)

The fundamental mathematical problem in tomographic image reconstruction is the solution, often approximate, of large systems of linear equations, which we denote here as Ax = b. The unknown entriesâ€¦ (More)

The expectation maximization maximum likelihood method (EMML) has been the subject of much attention in the medical-imaging literature over the past decade. Statisticians like it because it is basedâ€¦ (More)

Introduction: The irregular shape of the Moon may be explained in detail by assuming that a single large impact struck the near side of the Moon and deposited its ejecta on the far side [4], [5],â€¦ (More)

Introduction: A very old, very large basin has been found to underlie the region of large maria on the near side of the Moon. The strong differences between the near and far sides of the Moon haveâ€¦ (More)

1 Background We begin by recalling the solution of the vibrating string problem and Sturm-Liouville problems. When we solve the problem of the vibrating string using the technique of separation ofâ€¦ (More)