A note on Oishi’s lower bound for the smallest singular value of linearized Galerkin equations

DOI10.1007/S13160-024-00645-7WikidataQ128161858 ScholiaQ128161858MaRDI QIDQ6498441

Siegfried Michael Rump, Shin'ichi Oishi

Publication date: 7 May 2024

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Direct numerical methods for linear systems and matrix inversion (65F05)

Cites Work

• Verified bounds for singular values, in particular for the spectral norm of a matrix and its inverse
• Einschliessungssatz für die charakteristischen Zahlen von Matrizen
• Verification methods: Rigorous results using floating-point arithmetic
• Lower bounds for the smallest singular values of generalized asymptotic diagonal dominant matrices

This page was built for publication: A note on Oishi’s lower bound for the smallest singular value of linearized Galerkin equations