Development of fast and accurate methods for solving linear systems with multiple right-hand sides and their application to scientific computations

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In this project, we studied fast and accurate Block Krylov algorithms for solving linear systems with multiple right-hand sides. Through this project, we developed stabilized Block Krylov subspace methods, and reduced the amount of the computational complexity of the developed methods. Moreover, we applied the developed methods to lattice QCD computation, and verified the efficiency of the methods.