scholarly journals Solving some problems of advanced analytical nature posed in the SIAM-Review

1996 ◽  
Vol 3 (4) ◽  
pp. 423-465 ◽  
Author(s):  
Carl C. Grosjean
Keyword(s):  
Siam Review

Changes Planned for SIAM Review

SIAM Review ◽  
1996 ◽  
Vol 38 (4) ◽  
pp. vii-viii
Keyword(s):  
Siam Review

scholarly journals A Simple Method for Network Visualization

Mathematics ◽  
2020 ◽  
Vol 8 (6) ◽  
pp. 1020
Author(s):  
Jintae Park ◽  
Sungha Yoon ◽  
Chaeyoung Lee ◽  
Junseok Kim
Keyword(s):  
Distance Function ◽  
Triangular Mesh ◽  
Network Visualization ◽  
Signed Distance Function ◽  
Simple Method ◽  
Mesh Generator ◽  
Signed Distance ◽  
Unstructured Triangular Mesh ◽  
Siam Review

In this article, we present a simple method for network visualization. The proposed method is based on distmesh [P.O. Persson and G. Strang, A simple mesh generator in MATLAB, SIAM Review 46 (2004) pp. 329–345], which is a simple unstructured triangular mesh generator for geometries represented by a signed distance function. We demonstrate a good performance of the proposed algorithm through several network visualization examples.

scholarly journals О минимизационной задаче Шаллита

2021 ◽  
Vol 110 (3) ◽  
pp. 386-404
Author(s):  
Сергей Юрьевич Садов ◽  
Sergey Yur'evich Sadov
Keyword(s):  
Siam Review

В задаче Дж. Шаллита из SIAM Review 1994 г. предлагалось обосновать двучленную асимптотику минимума рациональной функции $n$ переменных, определенной как сумма специального вида с числом слагаемых порядка $n^2$ при $n\to\infty$. Особый интерес представляет второй член асимптотики ("постоянная Шаллита"). Опубликованное в SIAM Review решение содержало итерационный алгоритм вычисления этой постоянной, включающий вспомогательные последовательности, обладающие определенными свойствами монотонности. Однако строгое обоснование упомянутых свойств, необходимое для заключения о сходимости итерационного процесса, было заменено ссылками на численные данные. В настоящей работе пробелы в доказательстве восполнены на основании анализа траекторий двумерной динамической системы с дискретным временем, соответствующих точкам минимума $n$-х сумм. Кроме того, получена точная экспоненциальная оценка остатка в асимптотической формуле Шаллита. Библиография: 9 названий.

scholarly journals Sign patterns of J-orthogonal matrices

2017 ◽  
Vol 5 (1) ◽  
pp. 225-241
Author(s):  
Frank J. Hall ◽  
Zhongshan Li ◽  
Caroline T. Parnass ◽  
Miroslav Rozložník
Keyword(s):  
Orthogonal Matrix ◽  
Orthogonal Matrices ◽  
Sign Patterns ◽  
Exchange Operator ◽  
Czechoslovak Math ◽  
Siam Review ◽  
G Matrices ◽  
Block Diagonal

Abstract This paper builds upon the results in the article “G-matrices, J-orthogonal matrices, and their sign patterns", Czechoslovak Math. J. 66 (2016), 653-670, by Hall and Rozloznik. A number of further general results on the sign patterns of the J-orthogonal matrices are proved. Properties of block diagonal matrices and their sign patterns are examined. It is shown that all 4 × 4 full sign patterns allow J-orthogonality. Important tools in this analysis are Theorem 2.2 on the exchange operator and Theorem 3.2 on the characterization of J-orthogonal matrices in the paper “J-orthogonal matrices: properties and generation", SIAM Review 45 (3) (2003), 504-519, by Higham. As a result, it follows that for n ≤4 all n×n full sign patterns allow a J-orthogonal matrix as well as a G-matrix. In addition, the 3 × 3 sign patterns of the J-orthogonal matrices which have zero entries are characterized.

Some Properties of the Exchange Operator with respect to Structured Matrices defined by Indefinite Scalar Product Spaces

2015 ◽  
Vol 30 ◽  
Author(s):  
Hanz Martin Cheng ◽  
Roden Jason David
Keyword(s):  
Scalar Product ◽  
Structured Matrices ◽  
Product Spaces ◽  
Orthogonal Matrices ◽  
Structured Matrix ◽  
Exchange Operator ◽  
Siam Review

The properties of the exchange operator on some types of matrices are explored in this paper. In particular, the properties of exc(A,p,q), where A is a given structured matrix of size (p+q)×(p+q) and exc : M ×N×N → M is the exchange operator are studied. This paper is a generalization of one of the results in [N.J. Higham. J-orthogonal matrices: Properties and generation. SIAM Review, 45:504–519, 2003.].

A portrait of Poisson by B. Geller and Y. Bruk, Quantum, March/April 1991, pp21–25. - In search of a definition of surface area by V. Dubrovsky, Quantum March/April 1991, pp 6—9 and p 44. - Leopold Kronecker: a great gentleman in science by Hazel Perfect, Mathematical Spectrum 24 (1) pp 1–7. - An hour's conversation with Stepen Smale, by M. Wiggins. Nonlinear Science Today, 1(1) pp 1, 3 and 12–17. - Special issue on women in mathematics, Notices of the American Mathematical Society, 38 (70) pp701–777. - A perspective on computational number theory by R.D. Silverman. Notices of the American Mathematical Society, 38(6) pp562–568. - Number theory as gadfly by B. Mazur, American Mathematical Monthly, 98(7) pp 593–610. - Large-amplitude periodic oscillations in suspension bridges: some new connections with non-linear analysis by A.C. Lazer and P.J. Mckenna, SIAM review 32(4) pp 537–578. - Analysis of a model for complex skin patterns by L.J. Shaw and J.D. Murray, SIAM Journal on Applied Mathematics, 50(2) pp626–648. - Managing school mathematics departments: towards better practice, by Peter Earley and Felicity Fletcher-Campbell. Educational Research, 31(2)pp98–112.

1992 ◽  
Vol 76 (476) ◽  
pp. 325-327
Author(s):  
Steve Abbott
Keyword(s):  
Number Theory ◽  
Applied Mathematics ◽  
American Mathematical Society ◽  
Mathematical Society ◽  
Suspension Bridges ◽  
Siam Journal ◽  
Computational Number Theory ◽  
Definition Of ◽  
Siam Review ◽  
Women In Mathematics
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