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math.NA2020★ 1 cited
Randomized Kaczmarz for Tensor Linear Systems
Anna Ma, Denali Molitor
Solving linear systems of equations is a fundamental problem in mathematics. When the linear system is so large that it cannot be loaded into memory at once, iterative methods such…
math.NA2020
Randomized Kaczmarz with Averaging
Jacob D. Moorman, Thomas K. Tu, Denali Molitor +1
The randomized Kaczmarz (RK) method is an iterative method for approximating the least-squares solution of large linear systems of equations. The standard RK method uses sequential…
math.NA2019
Adaptive Sketch-and-Project Methods for Solving Linear Systems
Robert Gower, Denali Molitor, Jacob Moorman +1
We present new adaptive sampling rules for the sketch-and-project method for solving linear systems. To deduce our new sampling rules, we first show how the progress of one step of…