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.

Show description

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.

Show description

Read or Download Applied and Computational Matrix Analysis: MAT-TRIAD, Coimbra, Portugal, September 2015 Selected, Revised Contributions PDF

Best applied books

Efficient numerical methods for non-local operators

Hierarchical matrices current a good means of treating dense matrices that come up within the context of quintessential equations, elliptic partial differential equations, and keep watch over conception. whereas a dense $n\times n$ matrix in typical illustration calls for $n^2$ devices of garage, a hierarchical matrix can approximate the matrix in a compact illustration requiring simply $O(n ok \log n)$ devices of garage, the place $k$ is a parameter controlling the accuracy.

CRC Standard Mathematical Tables and Formulae, 31st Edition

A perennial bestseller, the thirtieth version of CRC regular Mathematical Tables and Formulae used to be the 1st "modern" version of the instruction manual - tailored to be beneficial within the period of non-public desktops and strong hand held units. Now this model will quick determine itself because the "user-friendly" variation.

The State of Deformation in Earthlike Self-Gravitating Objects

This ebook provides an in-depth continuum mechanics research of the deformation as a result of self-gravitation in terrestrial gadgets, equivalent to the interior planets, rocky moons and asteroids. Following a quick historical past of the matter, sleek continuum mechanics instruments are offered to be able to derive the underlying box equations, either for sturdy and fluid fabric versions.

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.

Download PDF sample

Rated 4.75 of 5 – based on 23 votes