Backward stability of a pivoting strategy for sign-regular linear systems
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Publication:1378471
DOI10.1007/BF02510360zbMath0893.65013OpenAlexW2012784310MaRDI QIDQ1378471
Publication date: 24 August 1998
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02510360
Related Items
Sign Regular Matrices of Order Two ⋮ Factoring symmetric totally nonpositive matrices and inverses with a diagonal pivoting method ⋮ The Bunch-Kaufman factorization of symmetric matrices signature similar to sign regular matrices ⋮ Sign regular matrices and Neville elimination ⋮ Componentwise error analysis for the block LU factorization of totally nonnegative matrices ⋮ Componentwise backward error analysis of Neville elimination ⋮ Eigenvalue localization and pivoting strategies for Gaussian elimination ⋮ Componentwise error analysis for linear systems associated with sign regular matrices ⋮ Sign consistent linear programming problems ⋮ On nonsingular sign regular matrices
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Cites Work
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- Totally positive bases for shape preserving curve design and optimality of B-splines
- Backward error analysis for linear systems associated with inverses of H- matrices
- Backward error analysis for totally positive linear systems
- A test for strict sign-regularity
- On transforming a Tchebycheff system into a strictly totally positive system
- \(M\)-matrices whose inverses are totally positive
- Ein Kriterium für den Nachweis der Totalnichtnegativität von Bandmatrizen
- Bounding the Error in Gaussian Eimination for Tridiagonal Systems
- Variation Diminishing Transformations: A Direct Approach to Total Positivity and its Statistical Applications
- Characterizations of the Optimal Descartes' Rules of Signs
- Matrices with Sign Consistency of a Given Order
- Pivoting strategies leading to small bounds of the errors for certain linear systems
- A Note on the Stability of Gaussian Elimination
- Totally positive matrices
