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Sign Pattern for Generalized Inverses /

This book addresses recent developments in sign patterns for generalized inverses. The fundamental importance of the fields is obvious, since they are related with qualitative analysis of linear systems and combinatorial matrix theory. The book provides both introductory materials and discussions to...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Bu, Changjiang (Autor), Sun, Lizhu (Autor), Wei, Yimin (Mathematics professor) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Les Ulis : EDP Sciences, [2021]
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Bu, Changjiang,  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Sign Pattern for Generalized Inverses /  |c Changjiang Bu, Lizhu Sun, Yimin Wei. 
264 1 |a Les Ulis :  |b EDP Sciences,  |c [2021] 
264 4 |c ©2021 
300 |a 1 online resource (232 p.) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
505 0 0 |t Frontmatter --  |t Preface --  |t Notations --  |t Contents --  |t Chapter 1. Generalized Inverses --  |t Chapter 2. Generalized Inverses of Partitioned Matrices --  |t Chapter 3. SNS and S2NS Matrices --  |t Chapter 4. Sign Pattern for Moore-Penrose Inverse --  |t Chapter 5. Sign Pattern for Drazin Inverse --  |t Chapter 6. Sign Pattern for Tensors --  |t References 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 27. Okt 2021). 
520 |a This book addresses recent developments in sign patterns for generalized inverses. The fundamental importance of the fields is obvious, since they are related with qualitative analysis of linear systems and combinatorial matrix theory. The book provides both introductory materials and discussions to the areas in sign patterns for Moore-Penrose inverse, Drazin inverse and tensors. It is intended to convey results to the senior students and readers in pure and applied linear algebra, and combinatorial matrix theory. Changjiang BU is a Professor at the College of Mathematical Sciences, Harbin Engineering University, who works on the graph theory and generalized inverses. He is the author of more than 100 papers in the international journals and one monograph. Lizhu SUN is an Associate Professor at the College of Mathematical Sciences, Harbin Engineering University, who works on the graph theory and multilinear algebra. She is the author of 25 research papers. Yimin WEI is a Professor at the School of Mathematical Sciences, Fudan University, who works on the numerical linear algebra and multilinear algebra. He is the author of more than 150 papers in the international journals and six monographs published by Science Press, Elsevier, Springer and World Scientific., etc. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Matrix inversion. 
650 0 |a Combinatorial analysis. 
650 4 |a Astrophysics. 
650 6 |a Matrices  |x Inversion. 
650 6 |a Analyse combinatoire. 
650 7 |a MATHEMATICS / Algebra / Linear.  |2 bisacsh 
650 7 |a Combinatorial analysis  |2 fast 
650 7 |a Matrix inversion  |2 fast 
700 1 |a Sun, Lizhu,  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Wei, Yimin  |c (Mathematics professor),  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut  |1 https://id.oclc.org/worldcat/entity/E39PCjJbvbby8M7W3kdbdQ6RDm 
776 0 8 |i Print version:  |z 9782759825998 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=30800173  |z Texto completo 
880 |6 520-00/(S  |a In the first part of this book, the author synthesizes the main results and formulas of physics-Albert Einstein's, with general relativity, gravitational waves involving elastic deformable space-time, quantum field theory, Heisenberg's principle, and Casimir's force implying that a vacuum is not nothingness. In the second part, based on these scientific facts, the author re-studies the fundamental equation of general relativity in a weak gravitational field by unifying it with the theory of elasticity. He considers the Ligo and Virgo interferometers as strain gauges. It follows from this approach that the gravitational constant G, Einstein's constant κ, can be expressed as a function of the physical, mechanical and elastic characteristics of space-time. He overlaps these results and in particular Young's modulus of space-time, with publications obtained by renowned scientists. By imposing to satisfy the set of universal constants G, c, κ, ħ and by taking into account the vacuum data, he proposes a new quantum expression of G which is still compatible with existing serious publications. It appears that time becomes the lapse of time necessary to transmit information from one elastic sheet of space to another. Time also becomes elastic. Thus, space becomes an elastic material, with a particle size of the order of the Planck scale, a new deformable ether, therefore different from the non-existent luminiferous ether. Finally, in the third part, in appendices, the author demonstrates the fundamentals of general relativity, cosmology and the theory of elasticity 
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