# Applied and Computational Matrix Analysis: MAT-TRIAD, by Natália Bebiano

By Natália Bebiano

This quantity offers fresh advances within the box of matrix research in response to contributions on the MAT-TRIAD 2015 convention. subject matters coated comprise period linear algebra and computational complexity, Birkhoff polynomial foundation, tensors, graphs, linear pencils, K-theory and statistic inference, exhibiting the ubiquity of matrices in several mathematical areas.

With a specific specialize in matrix and operator thought, statistical types and computation, the foreign convention on Matrix research and its functions 2015, held in Coimbra, Portugal, used to be the 6th in a chain of meetings.

Applied and Computational Matrix Analysis will attract graduate scholars and researchers in theoretical and utilized arithmetic, physics and engineering who're looking an outline of contemporary difficulties and techniques in matrix analysis.

By Natália Bebiano

This quantity offers fresh advances within the box of matrix research in response to contributions on the MAT-TRIAD 2015 convention. subject matters coated comprise period linear algebra and computational complexity, Birkhoff polynomial foundation, tensors, graphs, linear pencils, K-theory and statistic inference, exhibiting the ubiquity of matrices in several mathematical areas.

With a specific specialize in matrix and operator thought, statistical types and computation, the foreign convention on Matrix research and its functions 2015, held in Coimbra, Portugal, used to be the 6th in a chain of meetings.

Applied and Computational Matrix Analysis will attract graduate scholars and researchers in theoretical and utilized arithmetic, physics and engineering who're looking an outline of contemporary difficulties and techniques in matrix analysis.

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Additional resources for Applied and Computational Matrix Analysis: MAT-TRIAD, Coimbra, Portugal, September 2015 Selected, Revised Contributions

Sample text

Soc. (NS) 69(1–4), 81–101 (2002) 11. : Birkhoff interpolation on unity and on Möbius transform of the roots of unity. Numer. Algorithms 23(1), 115–125 (2002) 12. : Birkhoff interpolation on some perturbed roots of unity. Nonlinear Anal. Forum 6(1), 97–102 (2001) 13. : An error term and uniqueness for Hermite-Birkhoff interpolation involving only function values and/or first derivative values. J. Comput. Appl. Math. 212(1), 1–15 (2008) 14. : The question of uniqueness for G. D. Birkhoff interpolation problems.

Therefore, the sufficient condition is weaker than checking if A is an H-matrix. 2 Interval P-Matrices An interval matrix A ∈ IRn×n is called an interval P-matrix if each A ∈ A is a P-matrix [2, 7, 20]. A more general concept of P-matrix sets was investigated by Song and Gowda [23]. The following characterization of interval P-matrices is due to Białas and Garloff [2], see also [7]. Theorem 10 (Białas and Garloff [2]) A ∈ IRn×n is an interval P-matrix if and only if Ac − Dz AΔ Dz is a P-matrix for each z ∈ {±1}n .

Forum 6(1), 97–102 (2001) 13. : An error term and uniqueness for Hermite-Birkhoff interpolation involving only function values and/or first derivative values. J. Comput. Appl. Math. 212(1), 1–15 (2008) 14. : The question of uniqueness for G. D. Birkhoff interpolation problems. J. Approx. Theory 2, 1–28 (1969) 15. : Applying quantifier elimination to the Birkhoff interpolation problem. J. Symb. Comput. 22(1), 83–103 (1996) 16. : Runge-Kutta defect control using Hermite-Birkhoff interpolation. SIAM J.