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math.NA2026
Iterative Refinement for a Subset of Eigenvectors of Symmetric Matrices via Matrix Multiplications
Takeshi Terao, Katsuhisa Ozaki, Toshiyuki Imamura +1
We develop an iterative refinement method that improves the accuracy of a user-chosen subset of eigenvectors () of an real symmetric matrix. Using an orthog…
math.NA2026
Error Analysis of Matrix Multiplication Emulation Using Ozaki-II Scheme
Yuki Uchino, Katsuhisa Ozaki, Toshiyuki Imamura
The Ozaki-II scheme is an emulation method that leverages the Chinese Remainder Theorem to compute high-precision matrix multiplication via a sequence of low-precision matrix multi…