Results 11 to 20 of about 22,228 (202)

A Logratio Approach to the Analysis of Autosomal Genotype Frequencies Across Multiple Samples. [PDF]

Mol Ecol Resour
ABSTRACT More than 25 years ago, Aitchison showed that the logratio principal component analysis of multiple samples of a biallelic polymorphism can evidentiate the Hardy–Weinberg law. However, hitherto compositional data analysis, that is, the logratio approach, has had little impact in population genetics.
Graffelman J.
europepmc   +2 more sources

Unique builders for classes of matrices

Special Matrices, 2021
Basic matrices are defined which provide unique building blocks for the class of normal matrices which include the classes of unitary and Hermitian matrices.
Hurley Ted
doaj   +1 more source

Decomposition of Singular Matrices into Idempotents [PDF]

, 2013
In this paper we provide concrete constructions of idempotents to represent typical singular matrices over a given ring as a product of idempotents and apply these factorizations for proving our main results.
Alahmadi, Adel, Jain, Surender, Leroy, André   +2 more
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Tropical algebra with high-order matrix for multiple-noise removal

Journal of Low Frequency Noise, Vibration and Active Control, 2023
The technology for multiple-noise removal has triggered skyrocketing interest in both mathematics and engineering, and the tropical algebra has laid the foundation for an abundance of noise filters.
Jing Wang
doaj   +1 more source

Idempotent completions of equivariant matrix factorization categories

Journal of Algebra, 2023
6 pages.
Michael K. Brown, Mark E. Walker
openaire   +2 more sources

Supertropical matrix algebra III: Powers of matrices and generalized eigenspaces [PDF]

, 2010
We investigate powers of supertropical matrices, with special attention to the role of the coefficients of the supertropical characteristic polynomial (especially the supertropical trace) in controlling the rank of a power of a matrix.
Izhakian, Zur, Rowen, Louis
core   +3 more sources

Maps Preserving Idempotence on Matrix Spaces

Journal of Mathematics, 2015
SupposeFis an arbitrary field. Let|F|be the number of the elements ofF. LetMn(F)be the space of alln×nmatrices overF, letSn(F)be the subset ofMn(F)consisting of all symmetric matrices, and letTn(F)be the subset ofMn(F)consisting of all upper-triangular matrices.
Yuqiu Sheng, Hanyu Zhang
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Foulkes characters, Eulerian idempotents, and an amazing matrix [PDF]

Journal of Algebraic Combinatorics, 2012
15 ...
Diaconis, Persi, Fulman, Jason
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Idempotency of linear combinations of an idempotent matrix and a tripotent matrix

Linear Algebra and its Applications, 2002
Let \(A\) be a matrix with entries in the complex numbers. Then \(A\) is called idempotent if \(A^2=A\), it is called tripotent if \(A^3=A.\) If \(B_1\) and \(B_2\) are nonzero idempotent matrices, then \(B=B_1-B_2\) is called essentially tripotent.
Baksalary, Jerzy K., Maria Baksalary, Oskar, Styan, George P.H.   +2 more
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Idempotency of linear combinations of an idempotent matrix and a t-potent matrix that commute

Linear Algebra and its Applications, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benítez, J., Thome, N.
openaire   +1 more source