Upper and lower bounds for ranks of matrix expressions using generalized inverses

By Yongge Tian. 2002

111 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/132e41d023263732c1c06b28cedc72ccd0a7d8e3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Shao-Wen Yu
2. Huasheng Zhang
3. Qing-Wen Wang
4. Mehdi Dehghan
5. Zhuo-Heng He
6. Masoud Hajarian
7. Ivan Kyrchei

In Numerical Analysis

1. Qing-Wen Wang

In Statistical and Nonlinear Physics

1. Shao-Wen Yu
2. Huasheng Zhang
3. Qing-Wen Wang

Citations in the corpus

• Ranks and the least-norm of the general solution to a system of quaternion matrix equations (2009, background): “Tian in [14] and [15] has given the following extremal ranks of the matrix expressions A − BXC and A − B1X1C1 − B2X2C2 over a field.”
• Ranks of Solutions of the Matrix Equation AXB = C (2003, unknown): “[6] Y. Tian (2002).”
• On solutions to the quaternion matrix equation AXB+CYD=E (2008, background): “The following lemmas are due to Tian (see [15], [16] and [18]) that can be generalized to H .”