A stable test for strict sign regularity

Cortés, V.; Peña, J. M.

doi:10.1090/s0025-5718-08-02107-8

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Optimal Growth Factor and Astn Matrices1

A Test and Bidiagonal Factorization1

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Cited by 12 publications

(2 citation statements)

References 15 publications

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“…are the intermediate matrices of the elimination process as in (9). In [7] the authors prove that when the matrix is SSR the growth factor is 1. The following result shows that this property is also satisfied by ASSR matrices.…”

Section: Optimal Growth Factor and Astn Matricesmentioning

confidence: 98%

Almost strictly sign regular matrices and Neville elimination with two-determinant pivoting

Alonso

Peña

Serrano

2016

Applied Mathematics and Computation

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In 2007 Cortés and Peña introduced a pivoting strategy for the Neville elimination of nonsingular sign regular matrices and called it two-determinant pivoting. Neville elimination has been very useful for obtaining theoretical and practical properties for totally positive (negative) matrices and other related types of matrices. A real matrix is said to be almost strictly sign regular if all its nontrivial minors of the same order have the same strict sign. In this paper, some nice properties related with the application of Neville elimination with two-determinant pivoting strategy to almost strictly sign regular matrices are presented.

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Section: Optimal Growth Factor and Astn Matricesmentioning

confidence: 98%

Almost strictly sign regular matrices and Neville elimination with two-determinant pivoting

Alonso

Peña

Serrano

2016

Applied Mathematics and Computation

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show abstract

“…Recently, some newest tests for strictly sign regular matrices have been provided in [4]. In this section, we provide a test of O(n 3 ) elementary operations to check if a given nonsingular matrix is sign regular with signature (1, .…”

Section: A Test and Bidiagonal Factorizationmentioning

confidence: 99%

A test and bidiagonal factorization for certain sign regular matrices

Huang

2013

Linear Algebra and its Applications

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Factoring symmetric totally nonpositive matrices and inverses with a diagonal pivoting method

Huang

2012

Bit Numer Math

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A stable test for strict sign regularity

Abstract: Abstract. A stable test to check if a given matrix is strictly sign regular is provided. Among other nice properties, we prove that it has an optimal growth factor. The test is compared with other alternative tests appearing in the literature, and its advantages are shown.

Cited by 12 publications

References 15 publications

Almost strictly sign regular matrices and Neville elimination with two-determinant pivoting

Almost strictly sign regular matrices and Neville elimination with two-determinant pivoting

A test and bidiagonal factorization for certain sign regular matrices

Factoring symmetric totally nonpositive matrices and inverses with a diagonal pivoting method

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