التفاصيل البيبلوغرافية
العنوان:
On minimality of determinantal varieties
المؤلفون:
Khazhgali Kozhasov
المصدر:
Linear Algebra and its Applications . 626:56-78
بيانات النشر:
Elsevier BV, 2021.
سنة النشر:
2021
مصطلحات موضوعية:
Mathematics - Differential Geometry , Numerical Analysis , Algebra and Number Theory , Rank (linear algebra) , 010102 general mathematics , MathematicsofComputing_NUMERICALANALYSIS , 010103 numerical & computational mathematics , Space (mathematics) , 01 natural sciences , Combinatorics , Mathematics - Algebraic Geometry , 14P05, 14M12, 15A03, 15A15, 15A18, 49Q05, 53A10 , 2 × 2 real matrices , Differential Geometry (math.DG) , ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION , FOS: Mathematics , Discrete Mathematics and Combinatorics , Symmetric matrix , Geometry and Topology , 0101 mathematics , Algebraic Geometry (math.AG) , Eigenvalues and eigenvectors , Mathematics
الوصف:
We prove that semialgebraic sets of rectangular matrices of a fixed rank, of skew-symmetric matrices of a fixed rank and of real symmetric matrices whose eigenvalues have prescribed multiplicities are minimal submanifolds of the space of real matrices of a given size.
تدمد:
0024-3795
URL الوصول:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::118cf646abefac3d25b2253a5c3c612e https://doi.org/10.1016/j.laa.2021.05.011
حقوق:
OPEN
رقم الأكسشن:
edsair.doi.dedup.....118cf646abefac3d25b2253a5c3c612e
قاعدة البيانات:
OpenAIRE