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Matrix rigidity of random Toeplitz matrices
computational complexity, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Oded Goldreich 0001, Avishay Tal
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Cellular mechanosignaling for sensing and transducing matrix rigidity
Current Opinion in Cell Biology, 2023The mechanisms by which cells sense their mechanical environment and transduce the signal through focal adhesions and signaling pathways to the nucleus is an area of key focus for the field of mechanobiology. In the past two years, there has been expansion of our knowledge of commonly studied pathways, such as YAP/TAZ, FAK/Src, RhoA/ROCK, and Piezo1 ...
Katherine M. Young +1 more
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Rigidity and lack of rigidity for solenoidal matrix fields
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2004Summary: The problem of finding a curl-free matrix-valued field \(E\) with values in an assigned set of matrices \({\mathcal K}\) has received considerable attention. Given a bounded connected open set \(\Omega\), and a compact set \({\mathcal K}\) of \(m\times n\) matrices, in this paper we establish existence or non-existence results for the ...
Garroni, A., Nesi, V.
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Combinatorica, 1993
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Rigidity for Matrix-Valued Hardy Functions
Integral Equations and Operator Theory, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kasahara, Yukio +2 more
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On Matrix Rigidity and Locally Self-Correctable Codes
2010 IEEE 25th Annual Conference on Computational Complexity, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Cuts, matrix completions and graph rigidity
Mathematical Programming, 1997This paper brings together several topics arising in distinct areas: polyhedral combinatorics, in particular, cut and metric polyhedra; matrix theory and semidefinite programming, in particular, completion problems for positive semidefinite matrices and Euclidean distance matrices; distance geometry and structural topology, in particular, graph ...
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Stiffness matrix and quantitative measure of formation rigidity
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009Rigidity of formation is an important concept in multi-agent localization and control problems. There are well-developed existing methods to test rigidity of a given graph. However, little work is done on quantitative measurement of formation rigidity.
Guangwei Zhu, Jianghai Hu
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Mineral and matrix contributions to rigidity in fracture healing
Journal of Biomechanics, 1990The purpose of this study was to investigate the relationships among selected properties of fracture callus: bending rigidity, tissue density, mineral density, matrix density and mineral-to-matrix ratio. The experimental model was an osteotomized canine radius in which the development of the fracture callus was modified by electrical stimulation with ...
D A, Chakkalakal +4 more
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Quadratic Lower Bounds on Matrix Rigidity
2006The rigidity of a matrix A with respect to the rank bound r is the minimum number of entries of A that must be changed to reduce the rank of A to or below r. It is a major unsolved problem (Valiant, 1977) to construct “explicit” families of n × n matrices of rigidity n1+δ for r=en, where e and δ are positive constants.
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