Gradient based iterative solutions for general linear matrix equations

AbstractIn this paper, we present a gradient based iterative algorithm for solving general linear matrix equations by extending the Jacobi iteration and by applying the hierarchical identification principle. Convergence analysis indicates that the iterative solutions always converge fast to the exact solutions for any initial values and small condition numbers of the associated matrices. Two numerical examples are provided to show that the proposed algorithm is effective

Co-survival of the fittest few: Mosaic amplification of receptor tyrosine kinases in glioblastoma

Mosaic amplification of receptor tyrosine kinases in glioblastoma suggests that tumor cells with different progression driver mutations may coevolve rather than compete during clonal evolution

Predicting tumor response to PD-1 blockade

5x7 Black and White Glass Plate Negative.https://digitalmaine.com/arc_george_french_photos_gp57/1285/thumbnail.jp

Scalable Bell inequalities for multiqubit systems

Based on Clauser-Horner-Shimony-Holt inequality, we show a fruitful method to exploit Bell inequalities for multipartite qubit systems. These Bell inequalities are designed with a simpler architecture tailored to experimental demonstration. Under the optimal setting we derive a set of compact Mermin-type inequalities and discuss quantum violations for generalized Greenberger-Horne-Zeilinger (GGHZ) states. Also, we reveal relationship between quantum nonlocality and four-partite entanglement for four-qubit GGHZ states.Comment: 4 pages, 1 figur