DOIAbstract
AbstractWe show that any complex singular square matrix T is a product of two nilpotent matrices A and B with rank A = rank B = rank T except when T is a 2×2 nilpotent matrix of rank one
AbstractWe show that any complex singular square matrix T is a product of two nilpotent matrices A and B with rank A = rank B = rank T except when T is a 2×2 nilpotent matrix of rank one
Let A and B be n-square complex matrices with eigenvalues λ₁, λ₂,… λn and μ₁, μ₂,…μn respectively. T...
AbstractWe characterize the complex square matrices which are expressible as the product of finitely...
AbstractA new result on products of matrices is proved in the following theorem: let Mi (i=1,2,…) be...
AbstractWe show that any complex singular square matrix T is a product of two nilpotent matrices A a...
AbstractThis paper studies the possibility of writing a given square matrix as the product of two ma...
AbstractWe show that an n × n complex matrix T is the product of two unipotent matrices of index 2 i...
AbstractFor some years it has been known that every singular square matrix over an arbitrary field F...
We study the relations between product decomposition of singular matrices into products of idempoten...
AbstractSuppose all invertible quadratic operators T are assumed to satisfy T2 + bT + I = 0. We show...
AbstractNecessary and sufficient conditions are given for a matrix to be a product of an EPr matrix ...
AbstractIt is shown that every square matrix over a characteristic-two field with at least four elem...
AbstractWe show that a nonnegative square matrix M is nilpotent if and only if the permanent of M + ...
AbstractWe show that a square matrix A over any field is a product of simultaneously triangulable id...
Let A and B be n-square complex matrices with eigenvalues λ₁, λ₂,… λn and μ₁, μ₂,…μn respectively. T...
In this note we give an elementary proof of a theorem first proved by J. A. Erdos [3]. This theorem,...
Let A and B be n-square complex matrices with eigenvalues λ₁, λ₂,… λn and μ₁, μ₂,…μn respectively. T...
AbstractWe characterize the complex square matrices which are expressible as the product of finitely...
AbstractA new result on products of matrices is proved in the following theorem: let Mi (i=1,2,…) be...
AbstractWe show that any complex singular square matrix T is a product of two nilpotent matrices A a...
AbstractThis paper studies the possibility of writing a given square matrix as the product of two ma...
AbstractWe show that an n × n complex matrix T is the product of two unipotent matrices of index 2 i...
AbstractFor some years it has been known that every singular square matrix over an arbitrary field F...
We study the relations between product decomposition of singular matrices into products of idempoten...
AbstractSuppose all invertible quadratic operators T are assumed to satisfy T2 + bT + I = 0. We show...
AbstractNecessary and sufficient conditions are given for a matrix to be a product of an EPr matrix ...
AbstractIt is shown that every square matrix over a characteristic-two field with at least four elem...
AbstractWe show that a nonnegative square matrix M is nilpotent if and only if the permanent of M + ...
AbstractWe show that a square matrix A over any field is a product of simultaneously triangulable id...
Let A and B be n-square complex matrices with eigenvalues λ₁, λ₂,… λn and μ₁, μ₂,…μn respectively. T...
In this note we give an elementary proof of a theorem first proved by J. A. Erdos [3]. This theorem,...
Let A and B be n-square complex matrices with eigenvalues λ₁, λ₂,… λn and μ₁, μ₂,…μn respectively. T...
AbstractWe characterize the complex square matrices which are expressible as the product of finitely...
AbstractA new result on products of matrices is proved in the following theorem: let Mi (i=1,2,…) be...
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