Results 161 to 170 of about 22,228 (202)

Idempotence preserving maps between matrix spaces

Linear and Multilinear Algebra, 2012
Suppose 𝔽 is an arbitrary field of characteristic not 2 and 𝔽 ≠ 𝔽3. Let M n (𝔽) be the space of all n × n full matrices over 𝔽 and P n (𝔽) the subset of M n (𝔽) consisting of all n × n idempotent matrices and GL n (𝔽) the subset of M n (𝔽) consisting of all n × n invertible ...
Yang Zhang, Jun Cao, Bao-Dong Zheng
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02.1.2. A Particular Symmetric Idempotent Matrix—Solution

Econometric Theory, 2003
It is easy to see that Problem 02.1.2 holds more generally in that the result is valid for B Hermitian complex (rather than “symmetric real”), for m = 0,1,…,q (rather than just for “m < q”), for r ≠ 0 (rather than just for “integer r > 1”), and for tr(B k ) = tr(C k ), k = 1,2,3,4 (rather than for “k = 1,2,…”), as ...
George P.H. Styan, Hans Joachim Werner
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Idempotents in triangular matrix rings

Linear and Multilinear Algebra, 2019
Let R be an associative ring with identity 1. We describe all idempotent matrices with only zeros and ones on the diagonal in T(n,R) – the ring of n×n upper triangular matrices over R (n∈N), and T(...
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Idempotent matrix lattices over distributive lattices

Journal of Mathematical Sciences, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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When is a matrix a sum of idempotents?

Linear and Multilinear Algebra, 1990
It is shown that a matrix A, ovei a field of characteristic zero, is a sum of idempotents. exactly when the trace of A is an integer at least as large as rank(A).
Robert E. Hartwig, Mohan S. Putcha
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Sums of Idempotents and Logarithmic Residues in Matrix Algebras

2001
Logarithmic residues are contour integrals of logarithmic derivatives of vector-valued analytic functions. In several matrix algebras, the set of logarithmic residues coincides with the set of sums of idempotents. The connected components of this set are identified.
Bart, Harm, Ehrhardt, T, Silbermann, B
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Idempotency-Conserving Iteration Scheme for the One-Electron Density Matrix

Physical Review Letters, 2005
For the first order density matrix P of a noninteracting N-electron problem, an iterative formula is presented that preserves the trace and idempotency of P so that no purification is needed. Hermiticity--which may be slightly violated in the course of the iteration--gets restored when the iteration converges and the converged P corresponds to the ...
Dóra, Kohalmi   +2 more
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Idempotency of linear combinations of an idempotent matrix and a t -potent matrix that do not commute

Linear and Multilinear Algebra, 2008
The problem of characterizing all situations in which aA + bB is an idempotent matrix when A 2 = A, B k + 1 = B, AB ≠ BA, and a, b are nonzero complex numbers is studied.
J. Benítez, N. Thome
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