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Lower Bounds for the Condition Number of a Real Confluent Vandermonde Matrix

• Authors : Li, Ren-Cang

• Source: Mathematics of Computation, 2006 Oct 01. 75(256), 1987-1995.

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A Condition Number Theorem for Underdetermined Polynomial Systems

• Authors : Degot, Jerome

• Source: Mathematics of Computation, 2001 Jan 01. 70(233), 329-335.

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Improved Condition Number for Spectral Methods

• Authors : Heinrichs, Wilhelm

• Source: Mathematics of Computation, 1989 Jul 01. 53(187), 103-119.

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Probabilistic Condition Number Estimates for Real Polynomial Systems I: A Broader Family of Distributions.

• Authors : Ergür, Alperen A.¹ ; Paouris, Grigoris² ; Rojas, J. Maurice²

• Source: Foundations of Computational Mathematics. Feb2019, Vol. 19 Issue 1, p131-157. 27p.

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A GENERAL CONDITION NUMBER FOR POLYNOMIALS

• Authors : BARRIO, ROBERTO; JIANG, HAO; SERRANO, SERGIO

• Source: SIAM Journal on Numerical Analysis, 2013 Jan 01. 51(2), 1280-1294.

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On the Condition Number of Local Bases for Piecewise Cubic Polynomials

• Authors : Varah, J. M.

• Source: Mathematics of Computation, 1977 Jan 01. 31(137), 37-44.

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A CONDITION NUMBER ANALYSIS OF AN ALGORITHM FOR SOLVING A SYSTEM OF POLYNOMIAL EQUATIONS WITH ONE DEGREE OF FREEDOM.

• Authors : SRIJUNTONGSIRI, GUN¹ ; VAVASIS, STEPHEN A.²

• Source: SIAM Journal on Scientific Computing. 2011, Vol. 33 Issue 1/2, p443-454. 22p.

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A CONDITION NUMBER ANALYSIS OF A LINE-SURFACE INTERSECTION ALGORITHM.

• Authors : Srijuntongsiri, Gun¹ ; Vavasis, Stephen A.²

• Source: SIAM Journal on Scientific Computing. 2008, Vol. 30 Issue 2, p1064-1081. 18p. 2 Charts, 1 Graph.

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STRUCTURED EIGENVALUE CONDITION NUMBER AND BACKWARD ERROR OF A CLASS OF POLYNOMIAL EIGENVALUE PROBLEMS.

• Authors : Bora, Shreemayee¹

• Source: SIAM Journal on Matrix Analysis & Applications. 2010, Vol. 31 Issue 3, p900-917. 18p. 3 Charts.

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A structured condition number for self-adjoint polynomial matrix equations with applications in linear control.

• Authors : Jia, Zhi-Gang¹ ; Zhao, Mei-Xiang^1,2

Subjects: *POLYNOMIALS; *MATRICES (Mathematics); *LINEAR operators

• Source: Journal of Computational & Applied Mathematics. Mar2018, Vol. 331, p208-216. 9p.

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