Stability and performance analysis of a block elimination solver for bordered linear systems

A new block elimination method for bordered systems is proposedand its numerical properties are analysed. In the case wherethe leading principal block is ill-conditioned or singular andthe method becomes unstable a perturbation approach is usedto enhance the stability. Results of experiments performed onthe SGI Power Challenge 8000 and on the Cray J-9x illustratethe performance of the new algorithm and compare it with thecurrent best approach. It is shown that the new method worksfaster while preserving stability.     

Multicomponent Synthesis of 2,3-Dihydrochromeno[4,3-d]pyrazolo[3,4-b]pyridine-1,6-diones: A Novel Heterocyclic Scaffold with Antibacterial Activity

A multicomponent reaction of 3-aminopyrazol-5-ones with substituted salicylic aldehydes and acetylacetic ester leading to the formation of novel 2,3-dihydrochromeno[4,3-d]pyrazolo[3,4-b]pyridine-1,6-diones was discovered. The elucidation of the reaction scope revealed that 5-aminopyrazoles, 3-amino-1,2,4-triazoles and 6-aminouracil could be used as the heterocyclic amine component. Selected heterocyclic products were found to possess notable antibacterial activities.     

Three-component synthesis and anticancer evaluation of polycyclic indenopyridines lead to the discovery of a novel indenoheterocycle with potent apoptosis inducing properties

A multicomponent reaction of indane-1,3-dione, an aldehyde and an amine-containing aromatic compound leading to the formation of indenopyridine-based heterocyclic medicinal scaffolds has been investigated. It was found that the yields significantly improve when oxygen gas is bubbled through the reaction mixture, facilitating the oxidation of the intermediate dihydropyridine-containing compounds to their aromatic counterparts. Investigation of the reaction scope revealed that formaldehyde, as well as various aliphatic, aromatic and heteroaromatic aldehydes, works well as the aldehyde component. In addition, substituted anilines and diverse aminoheterocycles can be utilized in this process as the amine-containing component. Preliminary biological evaluation of the synthesized library identified a pyrimidine-based polycycle, which rivals the anticancer drug etoposide in its toxicity and apoptosis inducing properties toward a human T-cell leukemia cell line.