Space Hardness of Solving Structured Linear Systems

16 Mar 2020 Huang Xuangui

We show that if the probabilistic logarithmic-space solver or the deterministic nearly logarithmic-space solver for undirected Laplacian matrices can be extended to solve slightly larger subclasses of linear systems, then they can be use to solve all linear systems with similar space complexity. Previously Kyng and Zhang proved similar results in the time complexity setting using reductions between approximate solvers... (read more)

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