In this paper, the Schwarz boundary value problem (BVP) for the inhomogeneous Cauchy-Riemann equation in a triangle is investigated explicitly. Firstly, by the technique of parquetingreflection and the Cauchy-Pompeiu representation formula a modified Cauchy-Schwarz representation formula is obtained. Then, the solution of the Schwarz BVP is explicitly solved. In particular, the boundary behavio...

The Generalized Minimal Residual method (GMRES) seeks optimal approximate solutions of linear system Ax = b from Krylov subspaces by minimizing the residual norm ‖Ax − b‖2 over all x in the subspaces. Its main cost is computing and storing basis vectors of the subspaces. For difficult systems, Krylov subspaces of very high dimensions are necessary for obtaining approximate solutions with desire...

Sensitive, high resolution images of the double-double radio galaxy PKS B1545−321 reveal detailed structure, which we interpret in the light of previous work on the interaction of restarted jets with pre-existing relict cocoons. We have also examined the spectral and polarization properties of the source, the color distribution in the optical host and the environment of this galaxy in order to ...

BACKGROUND This study examined real-world etanercept and adalimumab treatment patterns in patients with psoriasis, psoriatic arthritis, or both. METHODS This retrospective analysis utilized data from patients with psoriasis, psoriatic arthritis, or both from a large, US claims database. Outcome measures included persistence on index therapy; pauses (7-59 days) and gaps (≥60 days) in therapy; ...