Results 11 to 20 of about 564 (182)

The Group Involutory Matrix of the Combinations of Two Idempotent Matrices [PDF]

Journal of Applied Mathematics, 2012
We discuss the following problem: when aP+bQ+cPQ+dQP+ePQP+fQPQ+gPQPQ of idempotent matrices P and Q, where a,b,c,d,e,f,g∈ℂ and a≠0, b≠0, is group involutory.
Lingling Wu, Xiaoji Liu, Yaoming Yu
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Idempotents in Matrix Rings [PDF]

Proceedings of the American Mathematical Society, 1994
Let R be a commutative, von Neumann regular ring and M n
Barnett, Christopher, Camillo, Victor
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Additively idempotent matrix semirings

Journal of Algebra and Its Applications, 2023
Let [Formula: see text] be an additively idempotent semiring and [Formula: see text] be the semiring of all [Formula: see text] matrices over [Formula: see text]. We characterize the conditions of when the semiring [Formula: see text] is congruence-simple provided that the semiring [Formula: see text] is either commutative or finite.
Kepka, Tomáš, Korbelář, Miroslav
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NeuDiff Agent: a governed AI workflow for single-crystal neutron crystallography. [PDF]

J Appl Crystallogr
NeuDiff Agent accelerates the TOPAZ single‐crystal neutron diffraction workflow at the Spallation Neutron Source from measured data to a structure suitable for publication through governed tool execution, auditable provenance and checkCIF assessment.Large‐scale facilities increasingly face analysis and reporting latency as a limiting step in scientific
Xiao Z, Zhang L, Zhang G, Wang X.
europepmc   +2 more sources

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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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 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.
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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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Linear Maps on Upper Triangular Matrices Spaces Preserving Idempotent Tensor Products

Abstract and Applied Analysis, 2014
Suppose m, n≥2 are positive integers. Let 𝒯n be the space of all n×n complex upper triangular matrices, and let ϕ be an injective linear map on 𝒯m⊗𝒯n. Then ϕ(A⊗B) is an idempotent matrix in 𝒯m⊗𝒯n whenever A⊗B is an idempotent matrix in 𝒯m⊗𝒯n if and only ...
Li Yang, Wei Zhang, Jinli Xu
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Singular matrices that are products of two idempotents or products of two nilpotents

Special Matrices, 2021
Over commutative domains we characterize the singular 2 × 2 matrices which are products of two idempotents or products of two nilpotents. The relevant casees are the matrices with zero second row and the singular matrices with only nonzero entries.
Călugăreanu Grigore
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