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非线性矩阵恒等式始终保持|的必要和充分条件施普林格链接
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Article summary:
1. The article discusses the necessary and sufficient conditions for a nonlinear matrix equation to remain invariant.
2. It reviews various studies on the topic, including those related to inverse laws, rank formulas, generalized inverses, linear statistical models, and matrix expressions.
3. It also provides references to relevant works by authors such as Baksalary, Styan, Ben-Israel, Greville, Campbell, Meyer, Hartwig, Patrcio, Lam, Liu et al., Marsaglia et al., Penrose, Puntanen et al., Rao & Mitra, Tian et al., and Werner.
Article analysis:
The article is generally reliable and trustworthy in its content. It provides a comprehensive overview of the necessary and sufficient conditions for a nonlinear matrix equation to remain invariant by reviewing various studies on the topic. The sources cited are all reputable and well-known authors in the field of mathematics who have conducted extensive research on this subject matter. Furthermore, the article does not appear to be biased or one-sided in its reporting; it presents both sides of the argument equally and fairly without any promotional content or partiality. Additionally, it does not make any unsupported claims or missing points of consideration; instead it provides evidence for each claim made with references to relevant works by authors in the field of mathematics. Finally, possible risks are noted throughout the article where appropriate.