The Maximal and Minimal Ranks of Some Expressions of Generalized Inverses of Matrices

By Yongge Tian. 2002

82 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c2e7f079d8c1f94bd4007e7cd937e0b596a2deae

How researchers see this paper

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

In Algebra and Number Theory

1. Shizhen Cheng
2. Douglas P. Wiens
3. Yongge Tian

In Computational Theory and Mathematics

1. Shizhen Cheng
2. Douglas P. Wiens
3. Yongge Tian
4. Qing-Wen Wang

In Statistical and Nonlinear Physics

1. Shizhen Cheng
2. Douglas P. Wiens
3. Qing-Wen Wang

Citations in the corpus

• On equality and proportionality of ordinary least squares, weighted least squares and best linear unbiased estimators in the general linear model (2006, background): “(10) The following result is shown in Tian (2002), and Tian and Cheng (2003).”
• Ranks of Solutions of the Matrix Equation AXB = C (2003, unknown): “[6] Y. Tian (2002).”
• The maximal and minimal ranks of A − BXC with applications (2003, background): “By definition of generalized inverse, the third set inclusion in (3.3) holds if and only if (BXC)A−(BXC) = BXC for any A− ∈ {A−}.”