If the entries on the main diagonal of a upper or lower triangular matrix are all 1, the matrix is called upper or lower unitriangular. Strictly triangular matrix: If all of the entries on the main ...
College of Mathematics and Information Science, Shangqiu Normal University, Shangqiu, China. In the last decades considerable attention has been paid to upper triangular operator matrices, ...
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Two results are proved which concern Riesz points of upper triangular operator matrices. Applications are made to questions involving when Weyl's Theorem holds for an upper triangular operator matrix.
AbstractLet M C =( A C 0 B )∈B(χ⊕χ) be an upper triangulat Banach space operator. The relationship between the spectra of 𝑀𝐶 and 𝑀₀, and their various distinguished parts, has been studied by a ...
ABSTRACT: In [Perturbation of Spectrums of 2 × 2 Operator Matrices, Proceedings of the American Mathematical Society, Vol. 121, 1994], the authors asked whether there was an operator such that for a ...
Abstract: The novel CORDIC-based architecture of the triangular systolic array for QRD of large size complex matrices is presented. The proposed architecture relies on QRD using a three angle complex ...