A test for strict sign-regularity

DOI10.1016/0024-3795(94)90485-5zbMath0796.65060OpenAlexW2050313060MaRDI QIDQ1319984

Mariano Gasca, Juan Manuel Peña

Publication date: 19 April 1994

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90485-5

zbMATH Keywords

algorithmNeville eliminationstrict sign-regular matrices

Mathematics Subject Classification ID

Related Items (17)

On the characterization of totally nonpositive matrices ⋮ Tests for the recognition of total positivity ⋮ Backward stability of a pivoting strategy for sign-regular linear systems ⋮ The work of Mariano Gasca ⋮ Factorizations of Cauchy-Vandermonde matrices ⋮ Quasi-\(LDU\) factorization of nonsingular totally nonpositive matrices ⋮ Nonsingular almost strictly sign regular matrices ⋮ Full rank factorization in quasi-\(LDU\) form of totally nonpositive rectangular matrices ⋮ Almost strictly totally negative matrices: an algorithmic characterization ⋮ Decompositions of strictly sign regular matrices ⋮ ASSR Matrices and Some Particular Cases ⋮ Total nonpositivity of nonsingular matrices ⋮ A stable test for strict sign regularity ⋮ Similarity to totally positive matrices and accurate computations ⋮ Full rank factorization in echelon form of totally nonpositive (negative) rectangular matrices ⋮ Elimination techniques: From extrapolation to totally positive matrices and CAGD ⋮ On nonsingular sign regular matrices

Cites Work

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• Shape preserving properties of the generalised Ball basis
• Total positivity and Neville elimination
• A matricial description of Neville elimination with applications to total positivity
• Shape preserving representations and optimality of the Bernstein basis
• The LU-factorization of totally positive matrices
• Total Positivity, $QR$ Factorization, and Neville Elimination
• Totally positive matrices

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