A matrix formula for Schur complements of nonnegative selfadjoint linear relations
If a nonnegative selfadjoint linear relation A in a Hilbert space and a closed subspace S are assumed to satisfy that the domain of A is invariant under the orthogonal projector onto S , then A admits a particular matrix representation with respect to the decomposition S ⊕ S ⊥ . This matrix represen...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Contino, Maximiliano [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Umfang: |
34 |
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| Übergeordnetes Werk: |
Enthalten in: CFD investigation on particle deposition in aligned and staggered ribbed duct air flows - Lu, Hao ELSEVIER, 2016, LAA, New York, NY |
|---|---|
| Übergeordnetes Werk: |
volume:654 ; year:2022 ; day:1 ; month:12 ; pages:143-176 ; extent:34 |
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| DOI / URN: |
10.1016/j.laa.2022.09.003 |
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If a nonnegative selfadjoint linear relation A in a Hilbert space and a closed subspace S are assumed to satisfy that the domain of A is invariant under the orthogonal projector onto S , then A admits a particular matrix representation with respect to the decomposition S ⊕ S ⊥ . This matrix representation of A is used to give explicit formulae for the Schur complement of A on S as well as the S -compression of A. |
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If a nonnegative selfadjoint linear relation A in a Hilbert space and a closed subspace S are assumed to satisfy that the domain of A is invariant under the orthogonal projector onto S , then A admits a particular matrix representation with respect to the decomposition S ⊕ S ⊥ . This matrix representation of A is used to give explicit formulae for the Schur complement of A on S as well as the S -compression of A. |
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If a nonnegative selfadjoint linear relation A in a Hilbert space and a closed subspace S are assumed to satisfy that the domain of A is invariant under the orthogonal projector onto S , then A admits a particular matrix representation with respect to the decomposition S ⊕ S ⊥ . This matrix representation of A is used to give explicit formulae for the Schur complement of A on S as well as the S -compression of A. |
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A matrix formula for Schur complements of nonnegative selfadjoint linear relations |
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