https://rainyuxuan.com/blog A blog created by Liu Yuxuan. Powered by Tailwind CSS Blog en-us yu2001xuan@outlook.com (Liu Yuxuan) yu2001xuan@outlook.com (Liu Yuxuan) Sat, 15 Apr 2023 00:00:00 GMT https://rainyuxuan.com/blog/cholesky-factorization-and-elimination-tree https://rainyuxuan.com/blog/cholesky-factorization-and-elimination-tree An exploration of left-looking Cholesky factorization, elimination trees, and techniques for sparse matrix factorization including fill-reducing ordering and nested dissection. Sat, 15 Apr 2023 00:00:00 GMT yu2001xuan@outlook.com (Liu Yuxuan) hpcnumericalsparse-matrix https://rainyuxuan.com/blog/sparse-linear-systems-and-direct-methods https://rainyuxuan.com/blog/sparse-linear-systems-and-direct-methods Study notes on direct methods for solving sparse linear systems, covering Cholesky factorization, dependency graphs, and sparse matrix data structures in graphics applications. Sat, 01 Apr 2023 00:00:00 GMT yu2001xuan@outlook.com (Liu Yuxuan) hpcnumericalsparse-matrix https://rainyuxuan.com/blog/dual-booting-windows-10-and-linux-ubuntu-22-lts https://rainyuxuan.com/blog/dual-booting-windows-10-and-linux-ubuntu-22-lts Step-by-step guide to setting up a dual-boot system with Windows 10 and Ubuntu 22 LTS, including disk partitioning and bootable USB creation. Mon, 20 Jun 2022 00:00:00 GMT yu2001xuan@outlook.com (Liu Yuxuan) linuxproductivity https://rainyuxuan.com/blog/react-hooks-cheatsheet https://rainyuxuan.com/blog/react-hooks-cheatsheet A introduction to React hooks. Fri, 03 Jun 2022 00:00:00 GMT yu2001xuan@outlook.com (Liu Yuxuan) webfrontendjavascript