Iterative synthesis can generalize, automate and democratize the molecule-making process. Now, by using a computer algorithm to scan depths of chemical reactivity space, thousands iterative ways make small molecules are discovered.

We consider asynchronous, parallel iterations for calculating enclosures of solutions of systems of nonlinear equations in IR n. Particularly, we will show how two classical theorems on the monotone convergence of some iterative methods for certain classes of nonlinear equations carry over to the asynchronous case.

Introduction: Quantitative evaluation is recommended to improve diagnostic ability and serial assessment of dopamine transporter (DAT) density scans. We decided to compare the ordered subsets expectation-maximization (OSEM) with filtered back-projection (FBP), and to investigate the impact of different iteration and cut-off frequencies on SBR values. Methods</stro...

Image registration is often very slow because of the high dimensionality of the images and complexity of the algorithms. Adaptive stochastic gradient descent (ASGD) outperforms deterministic gradient descent and even quasi-Newton in terms of speed. This method, however, only exploits first-order information of the cost function. In this paper, we explore a stochastic quasi-Newton method (s-LBFG...