Results 241 to 250 of about 458,963 (267)

Rank Additivity and Matrix Partial Orders

2012
If A, B are m×n matrices then \(\operatorname{rank} B \le \operatorname{rank} A + \operatorname{rank}(B-A)\). When does equality hold in this inequality? This question is related to many notions such as g-inverses, minus partial order and parallel sum. The phenomenon is known as rank additivity.
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Partial Differentiation: Gradient, Hessian Matrix, Jacobian Matrix

2022
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The matrix in cancer

Nature Reviews Cancer, 2021
Thomas Cox
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Extracellular vesicle–matrix interactions

Nature Reviews Materials, 2023
, Jae-won Shin
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Iterative partial matrix shrinkage algorithm for matrix rank minimization

Signal Processing, 2014
Katsumi Konishi, Kazunori Uruma, Tomohiro Takahashi, Toshihiro Furukawa   +3 more
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Cell–extracellular matrix mechanotransduction in 3D

Nature Reviews Molecular Cell Biology, 2023
Aashrith Saraswathibhatla, Dhiraj Indana, Ovijit Chaudhuri   +2 more
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The biofilm matrix

Nature Reviews Microbiology, 2010
Hans-Curt Flemming
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Remodelling the extracellular matrix in development and disease

Nature Reviews Molecular Cell Biology, 2014
Jonathan Chou, Zena Werb
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Mechanotransduction and extracellular matrix homeostasis

Nature Reviews Molecular Cell Biology, 2014
Jay D Humphrey, Eric R Dufresne, Martin A Schwartz   +2 more
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Matrix metalloproteinases and the regulation of tissue remodelling

Nature Reviews Molecular Cell Biology, 2007
Andrew J Ewald, Zena Werb
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