We derive eigenvalue bounds for symmetric block-tridiagonal multiple saddle-point systems preconditioned with block-diagonal Schur complement matrices. This analysis applies to an arbitrary number of blocks and accounts for the case where the Schur complements are approximated, generalizing the findings in [11, Bergamaschi et al., LinearAlgebra and its Applications, 2026]. Numerical experiments are carried out to validate the proposed estimates.
Spectral Analysis of Block Diagonally Preconditioned Multiple Saddle-Point Matrices With Inexact Schur Complements / Pilotto, M., Bergamaschi, L., Martinez, A.. - In: NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. - ISSN 1099-1506. - ELETTRONICO. - 33:4(2026), pp. e70110.1-e70110.17. [10.1002/nla.70110]
Spectral Analysis of Block Diagonally Preconditioned Multiple Saddle-Point Matrices With Inexact Schur Complements
Martinez A.Ultimo
2026-01-01
Abstract
We derive eigenvalue bounds for symmetric block-tridiagonal multiple saddle-point systems preconditioned with block-diagonal Schur complement matrices. This analysis applies to an arbitrary number of blocks and accounts for the case where the Schur complements are approximated, generalizing the findings in [11, Bergamaschi et al., LinearAlgebra and its Applications, 2026]. Numerical experiments are carried out to validate the proposed estimates.| File | Dimensione | Formato | |
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