On the Partial Indices of Triangular Matrix Functions with Prescribed Indices of Their Diagonal Entries

机译：在对角条目规定指标的三角矩阵函数的部分索引上

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摘要

For a triangular n-by-n matrix function with a fixed ordered set of the indices of its diagonal entries, an explicit description is obtained for all possible n-tuples of the partial indices.

机译：对于具有其对角线条目的固定有序的索引的固定有序排序集的三角形N-by-N矩阵函数，针对部分索引的所有可能的n组元组获得显式描述。

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《International Workshop in Operator Theory and its Applications》|2018年|viii 309 pages :|共35页
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K.V. Harutyunyan; A.G. Kamalyan; I.M. Spitkovsky;
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中图分类 O177-532;
关键词
Partial indices; factorization; triangular matrices;

机译：部分索引;分解;三角矩阵;
入库时间 2022-08-21 03:20:03

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专利

1. Partial Indices of Triangular Matrix Functions [J] . Kamo V. Harutyunyan, Armen G. Kamalyan Journal of Contemporary Mathematical Analysis . 2007,第2期

机译：三角矩阵函数的部分指标
2. Exact conditions for preservation of the partial indices of a perturbed triangular 2 x 2 matrix function [J] . Adukov Victor M., Mishuris Gennady, Rogosin Sergei V Proceedings of the Royal Society. Mathematical, physical and engineering sciences . 2020,第2237期

机译：保存扰动三角形2×2矩阵函数部分指标的确切条件
3. Constructive factorization of some almost periodic triangular matrix functions with a quadrinomial off diagonal entry [J] . Bastos M.A., Bravo A., Karlovich Y., Journal of Mathematical Analysis and Applications . 2011,第2期

机译：具有对角线入口的四项式的几乎周期三角形矩阵的构造分解
4. On the Partial Indices of Triangular Matrix Functions with Prescribed Indices of Their Diagonal Entries [C] . K.V. Harutyunyan, A.G. Kamalyan, I.M. Spitkovsky International Workshop in Operator Theory and its Applications . 2018

机译：在对角条目规定指标的三角矩阵函数的部分索引上
5. Thematic indices and superoptimal singular values of matrix functions. [D] . Condori, Alberto A. 2009

机译：矩阵函数的主题索引和超最佳奇异值。
6. Regular approximate factorization of a class of matrix-function with an unstable set of partial indices [O] . G. Mishuris, S. Rogosin -1

机译：一类带有不稳定部分索引的矩阵函数的正规近似分解
7. Constructive factorization of some almost periodic triangular matrix functions with a quadrinomial off diagonal entry [O] . Bastos M.A., Bravo A., Karlovich Yu.I., 2011

机译：具有对角线入口的四项式的几乎周期三角形矩阵的构造性分解
8. Unitary Interpolants and Factorization Indices of Matrix Functions [R] . Alexeev, R. B., Peller, V. V. 1999

机译：矩阵函数的酉插值和分解指数

On the Partial Indices of Triangular Matrix Functions with Prescribed Indices of Their Diagonal Entries

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