Results 151 to 160 of about 564 (182)

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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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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When is a matrix a difference of two idempotents

Linear and Multilinear Algebra, 1990
Necessary and sufficient conditions are given for a matrix A to be a sum or a difference of two idempotents. These conditions are expressed in terms of (i) the block structure of A under similarity, as well as (ii) the elementary divisor structure of A.
Robert E. Hartwig, Mohan S. Putcha
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A note on the equality of rank and trace for an idempotent matrix

Applied Mathematics and Computation, 2011
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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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Idempotence preserving maps between matrix spaces

Linear and Multilinear Algebra, 2011
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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The Symmetrical Idempotent Matrix in Factor Analysis

The Journal of Experimental Education, 1951
It is of interest to note the occurrence in facI tor analysis of the symmetrical idempotent ma trix and to examine the role it may play as a mul tiplier of other matrices. For example, Holzin ger and Harman's method of relating two differ ent factorial solutions of the same correlation ma trix1 may be formulated, alternatively, in terms of the ...
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IDEMPOTENTS OVER MATRIX RINGS AND MODULES

Entire in this paper R denotes commutative with an identity, von Neumann regular ring and M R n ( ) be the ring of n n  matrices over R and all modules are unitary and also J R Z R ( ), ( ) denotes the Jacobson radicals and the singular left ideal of R respectively.
Rajashekhar Upase, Asha Saraswathi B, Swathi   +2 more
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Idempotent matrix lattices over distributive lattices

Journal of Mathematical Sciences, 2008
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Properties of Idempotent Matrix

Econometric Theory, 1997
Robert E. Hartwig, Götz Trenkler
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