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Adversarial dynamical systems characterize when data-driven learning succeeds or fails. [PDF]

Nat Commun
Colbrook MJ, Mezić I, Stepanenko A.
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An inverse eigenvalue problem for Jacobi matrix

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ying Wei 0003, Hua Dai 0001
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Inverse matrix eigenvalue problems

Journal of Mathematical Sciences, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ikramov, Kh. D., Chugunov, V. N.
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Matrix Inverse Eigenvalue Problems

CISM International Centre for Mechanical Sciences, Courses and Lectures, 2011
The term matrix eigenvalue problems refers to the computation of the eigenvalues of a symmetric matrix. By contrast, the term inverse matrix eigenvalue problem refers to the construction of a symmetric matrix from its eigenvalues. While matrix eigenvalue problems are well posed, inverse matrix eigenvalue problems are ill posed: there is an infinite ...
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Reducing the Symmetric Matrix Eigenvalue Problem to Matrix Multiplications

SIAM Journal on Scientific Computing, 1993
A numerical method for the symmetric matrix eigenvalue problem is developed by reducing it to a number of matrix–matrix multiplications. For matrices of size n, the number of such multiplications is on the order of $\log _2 n$. On high performance parallel computers, it is important to minimize memory reference, since the movement of data between ...
Shing-Tung Yau, Ya Yan Lu
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An Algorithm for Generalized Matrix Eigenvalue Problems

SIAM Journal on Numerical Analysis, 1973
A new method, called the $QZ$ algorithm, is presented for the solution of the matrix eigenvalue problem $Ax = \lambda Bx$ with general square matrices A and B. Particular attention is paid to the degeneracies which result when B is singular. No inversions of B or its submatrices are used.
Moler, C. B., Stewart, G. W.
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Eigenvalue Problems in Matrix Mechanics

Journal of Mathematical Physics, 1961
The techniques of the Heisenberg matrix mechanics are extended to treat all potentials of the form Q2n, for n a positive integer. The square well (Q∞) and the potential Q4 are treated in detail.
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The eigenvalue problem of a specially updated matrix

Applied Mathematics and Computation, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiu Ding, Guangming Yao
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