线性目标问题

IF 1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2025-04-28 DOI:10.1016/j.laa.2025.04.017

Kyle Bierly , Stephan Ramon Garcia , Roger A. Horn

引用次数: 0

摘要

对于给定的实数或复数m×n数据矩阵X， Y，我们研究了何时存在矩阵a使得AX=Y，并且a是可逆的，厄米的，正（半）定的，酉的，正交投影的，反射的，复对称的，或正规的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The linear targeting problem

For given real or complex

m \times n

data matrices X, Y, we investigate when there is a matrix A such that

A X = Y

, and A is invertible, Hermitian, positive (semi)definite, unitary, an orthogonal projection, a reflection, complex symmetric, or normal.

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来源期刊

Linear Algebra and its Applications 数学-应用数学

CiteScore

2.20

自引率

9.10%

发文量

333

审稿时长

13.8 months

期刊介绍： Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences. Articles that provide new information or perspectives on the historical development of matrix theory and linear algebra are also welcome. Expository articles which can serve as an introduction to a subject for workers in related areas and which bring one to the frontiers of research are encouraged. Reviews of books are published occasionally as are conference reports that provide an historical record of major meetings on matrix theory and linear algebra.