New strategies for determining backward perturbation bound of approximate two‐sided Krylov subspaces

2020 ◽  
Vol 27 (6) ◽  
Author(s):  
Yunjie Wang ◽  
Gang Wu
Keyword(s):  
Krylov Subspaces ◽  
Perturbation Bound ◽  
Backward Perturbation ◽  
New Strategies

scholarly journals Analysis of the Structured Perturbation for the BCSCB Linear System

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Xia Tang ◽  
Zhaolin Jiang
Keyword(s):  
Linear System ◽  
Relative Error ◽  
Condition Number ◽  
Spectral Decomposition ◽  
Circulant Matrix ◽  
Networked Systems ◽  
Perturbation Bound ◽  
Numerical Example ◽  
Backward Perturbation ◽  
Skew Circulant

Circulant and block circulant type matrices are important tools in solving networked systems. In this paper, based on the style spectral decomposition of the basic circulant matrix and the basic skew circulant matrix, the block style spectral decomposition of the BCSCB matrix is obtained. And then, the structure perturbation is analysed, which includes the condition number and relative error of the BCSCB linear system. Then the optimal backward perturbation bound of the BCSCB linear system is discussed. Simultaneously, the algorithm for the optimal backward perturbation bound is given. Finally, a numerical example is provided to verify the effectiveness of the algorithm.

Towards backward perturbation bounds for approximate dual Krylov subspaces

2012 ◽  
Vol 53 (1) ◽  
pp. 225-239 ◽  
Author(s):  
Gang Wu ◽  
Yimin Wei ◽  
Zhi-gang Jia ◽  
Si-tao Ling ◽  
Lu Zhang
Keyword(s):  
Krylov Subspaces ◽  
Perturbation Bounds ◽  
Backward Perturbation

CDC Pushing New Strategies for Flu Vaccination

2006 ◽  
Vol 40 (11) ◽  
pp. 12
Author(s):  
HEIDI SPLETE
Keyword(s):  
Flu Vaccination ◽  
New Strategies

The Coin of the African Realm

2017 ◽  
Author(s):  
Jeffrey Herbst
Keyword(s):  
Twentieth Century ◽  
West Africa ◽  
West African ◽  
Regional Economies ◽  
African Countries ◽  
New Strategies

This chapter examines the politics of the currency in West Africa from the beginning of the twentieth century. A public series of debates over the nature of the currency occurred in West Africa during both the colonial and independence periods. Since 1983, West African countries have been pioneers in Africa in developing new strategies to combat overvaluation of the currency and reduce the control of government over the currency supply. The chapter charts the evolution of West African currencies as boundaries and explores their relationship to state consolidation. It shows that leaders in African capitals managed to make the units they ruled increasingly distinct from the international and regional economies, but the greater salience of the currency did not end up promoting state consolidation. Rather, winning the ability to determine the value of the currency led to a series of disastrous decisions that severely weakened the states themselves.

Internationalization in Higher Education in Russia: Challenges, Lessons and Prospects of Collaboration with Vietnam

2017 ◽  
Vol 33 (2) ◽  
Author(s):  
Natalia Kraevskaia
Keyword(s):  
Higher Education ◽  
Education Reform ◽  
Knowledge Production ◽  
Professional Training ◽  
National Interests ◽  
International Networks ◽  
International Dimension ◽  
Main Factors ◽  
Internationalization In Higher Education ◽  
New Strategies

The article addresses the needs of educational system in context of rapidly developing globalization and explores internationalization of higher education as one of the main factors which contributes to integration of international dimension to professional training at universities. Different components and strategies of internationalization, such as strong collaboration in teaching, internationalization of the curriculum, cooperation in researches and knowledge production, students and professors’ mobility, and participation in international networks are analyzed in connection to education reform in Russia. The article provides the comparison of internationalization policies in Russian and Vietnamese education systems, argues that innovations in higher education should be adjusted to the national interests, traditions and mentality and finally describes new strategies in collaboration of Russia and Vietnam in the field of education.  

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