Spectral Analysis of Block Diagonally Preconditioned Multiple Saddle-Point Matrices with Inexact Schur Complements
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| Format: | Preprint |
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2026
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| _version_ | 1866915778412937216 |
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| author | Pilotto, Marco Bergamaschi, Luca Martinez, Angeles |
| author_facet | Pilotto, Marco Bergamaschi, Luca Martinez, Angeles |
| contents | 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 [Bergamaschi et al., Linear Algebra and its Applications, 2026]. Numerical experiments are carried out to validate the proposed estimates. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_05952 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Spectral Analysis of Block Diagonally Preconditioned Multiple Saddle-Point Matrices with Inexact Schur Complements Pilotto, Marco Bergamaschi, Luca Martinez, Angeles Numerical Analysis 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 [Bergamaschi et al., Linear Algebra and its Applications, 2026]. Numerical experiments are carried out to validate the proposed estimates. |
| title | Spectral Analysis of Block Diagonally Preconditioned Multiple Saddle-Point Matrices with Inexact Schur Complements |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2602.05952 |