#eigenvalue — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #eigenvalue, aggregated by home.social.
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... that's nothing new. the point was to address a related question: suppose that the eigensystem {v_i, λ_i}, i = 1, ..., n of a full-rank, well-conditioned n-by-n square matrix A is known, and then you are given a related matrix B = A + E, where E represents some type of random noise. Can a relationship between E and c be derived, such that the eigensystem of A also satisfies f( B v_i - λ_i v_i ) <= c, for all i and some f?
#math #mathematics #linearAlgebra #eigenvalue #eigensystem #algebra
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Thanks to the Manchester NA group for organizing a seminar by David Watkins, one of the foremost experts on matrix eigenvalue algorithms. I find numerical linear algebra talks often too technical, but I could follow David's talk quite well even though I did not get everything, so thanks for that.
David spoke about the standard eigenvalue algorithm, which is normally called the QR-algorithm. He does not like that name because the QR-decomposition is not actually important in practice and he calls it the Francis algorithm (after John Francis, who developed it). It is better to think of the algorithm as an iterative process which reduces the matrix to triangular form in the limit.
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In the world of #Eigenvalues and #Agile, it's all about identifying the unique strengths within your team. Just as Eigenvalues characterize distinctive traits of a matrix, #AgileCheese unveils the individual brilliance of each team member. Maximize your #Eigenvalue, maximize your #cheese! 🚀🧀 #AgileInsights #EigenvalueInAgility
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In the world of #Eigenvalues and #Agile, it's all about identifying the unique strengths within your team. Just as Eigenvalues characterize distinctive traits of a matrix, #AgileCheese unveils the individual brilliance of each team member. Maximize your #Eigenvalue, maximize your #cheese! 🚀🧀 #AgileInsights #EigenvalueInAgility
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In the world of #Eigenvalues and #Agile, it's all about identifying the unique strengths within your team. Just as Eigenvalues characterize distinctive traits of a matrix, #AgileCheese unveils the individual brilliance of each team member. Maximize your #Eigenvalue, maximize your #cheese! 🚀🧀 #AgileInsights #EigenvalueInAgility
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In the world of #Eigenvalues and #Agile, it's all about identifying the unique strengths within your team. Just as Eigenvalues characterize distinctive traits of a matrix, #AgileCheese unveils the individual brilliance of each team member. Maximize your #Eigenvalue, maximize your #cheese! 🚀🧀 #AgileInsights #EigenvalueInAgility
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In the #2D #elasticity, #equilibrium of #stresses can be represented on an infinitesimal rectangular element with components of both #DirectStress and #ShearStress generally acting on all four edges. If you were to rotate the rectangle, the stresses change in a precisely orchestrated fashion. In the orientation where the shear stress components vanish, we get what are called #PrincipalStresses and they and their directions can be ascertained precisely through #eigenvalue analysis... 1/2
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In the #2D #elasticity, #equilibrium of #stresses can be represented on an infinitesimal rectangular element with components of both #DirectStress and #ShearStress generally acting on all four edges. If you were to rotate the rectangle, the stresses change in a precisely orchestrated fashion. In the orientation where the shear stress components vanish, we get what are called #PrincipalStresses and they and their directions can be ascertained precisely through #eigenvalue analysis... 1/2
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A very simple explanation of a recent maths paper (co-written by a University of California LosAngeles maths professor) on #eigenvector & #eigenvalue
— in the student newspaper of the same university by Shruti Iyer
