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math.NA2026
Error control technique of quadrature-based algorithms for the action of real powers of a Hermitian positive-definite matrix
Motohiro Otsuka, Fuminori Tatsuoka, Tomohiro Sogabe +2
This study considers quadrature-based algorithms to compute , the action of a real power of a Hermitian positive-definite matrix on a vector $ \boldsymbol{b}…
math.NA2026
An error control framework for computing the exponential of matrices arising from the finite element discretization
Fuminori Tatsuoka, Yuto Miyatake, Tomohiro Sogabe
Several methods for computing the action of the matrix exponential are expressed by substituting into a rational appro…