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Analysis of singular matrix pencils
Journal of Soviet Mathematics, 1983One considers the spectral problem for a singular pencil D(λ)=A + λB of matrices A and B (A and B are rectangular matrices or det D(λ)≡0). One represents an algorithm which allows us to find the reducing subspaces for D(λ) and with their aid to reduce the dimension of the initial pencil, by isolating from it the zero block, the blocks corresponding to ...
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Nearest “Unstable” Matrix Pencil to a Given Pencil
1991We aim to generalize the concept of “distance to instability” for matrices to matrix pencils. Difficulties arise since infinitesimal perturbations can destroy the Kronecker canonical form of the pencil. If perturbations are constrained so that the structure of the pencil is retained, then there exist maximal finite perturbations such that the finite ...
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2018
The paper focuses on the problem of increasing the accuracy of radar measurements of the elevation angle of the low-altitude targets over the sea. The Matrix Pencil method, as one of the means to resolve this problem, is studied in the paper. This method refers to the methods of high spectral resolution, but in a number of publications, the possibility
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The paper focuses on the problem of increasing the accuracy of radar measurements of the elevation angle of the low-altitude targets over the sea. The Matrix Pencil method, as one of the means to resolve this problem, is studied in the paper. This method refers to the methods of high spectral resolution, but in a number of publications, the possibility
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On regular polynomial matrices. II. The associated matrix pencils; simple matrix pencils
Publicationes Mathematicae Debrecen, 2022openaire +1 more source
Mixed matrix pencils: Nonstandard involutions
2014This chapter also studies the canonical forms of mixed quaternion matrix pencils, i.e., such that one of the two matrices is φ-hermitian and the other is φ-skewhermitian, with respect to simultaneous φ-congruence. It starts by formulating the canonical form for φ-hsk matrix pencils under strict equivalence.
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Height Measurement for Meter Wave MIMO Radar based on Matrix Pencil Under Complex Terrain
IEEE Transactions on Vehicular Technology, 2023Guimei Zheng, Chen Chen
exaly

