Monotonic linear recurrences

DOI10.1016/j.laa.2017.09.028zbMath1376.65151OpenAlexW2760748781MaRDI QIDQ1675654

Joseph F. Grcar

Publication date: 2 November 2017

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2017.09.028

zbMATH Keywords

Lanczos methodeigenvectorsBessel functionsunstable recurrences

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Iterative numerical methods for linear systems (65F10) Computation of special functions and constants, construction of tables (65D20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical approximation and evaluation of special functions (33F05) Numerical aspects of recurrence relations (65Q30)

Uses Software

• Matlab

Cites Work

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• A result complementary to Geršgorin's circle theorem
• Theory of difference equations: Numerical methods and applications
• The Lanczos and conjugate gradient algorithms in finite precision arithmetic
• Computational Aspects of Three-Term Recurrence Relations