Title:  Block conjugate gradient algorithms for linear systems with multiple right-hand sides

Abstract: The block conjugate gradient algorithm was proposed in 1980 to solve linear systems with multiple right-hand sides. However, some of the algorithm block vectors may become rank-deficient, leading to numerical difficulties and breakdowns. In this talk, we will study a variant introduced by Dubrulle in 2001 to avoid these problems. We recently proved that this algorithm cannot break down and always converges to the solutions. Moreover, estimates of error norms can be easily computed during the iterations.

Livestreamed by MS Teams:

 https://teams.microsoft.com/meet/316242926479151?p=btdd9i4dp6CBLTdYeP