Results 1 to 10 of about 197,057 (337)
Bilinear systems with two supports: Koszul resultant matrices, eigenvalues, and eigenvectors [PDF]
International Symposium on Symbolic and Algebraic Computation, 2018 A fundamental problem in computational algebraic geometry is the computation of the resultant. A central question is when and how to compute it as the determinant of a matrix whose elements are the coefficients of the input polynomials up-to sign.
Matías R. Bender +3 more
openalex +3 more sources
On Differentiating Eigenvalues and Eigenvectors [PDF]
Econometric Theory, 1985 Let X0 be a square matrix (complex or otherwise) and u0 a (normalized) eigenvector associated with an eigenvalue λo of X0, so that the triple (X0, u0, λ0) satisfies the equations Xu = λu, . We investigate the conditions under which unique differentiable functions λ(X) and u(X) exist in a neighborhood of X0 satisfying λ(X0) = λO, u(X0) = u0, Xu = λu ...
Jan R. Magnus
openaire +5 more sources
Group Comparison of Eigenvalues and Eigenvectors of Diffusion Tensors. [PDF]
J Am Stat Assoc, 2010 Schwartzman A, Dougherty RF, Taylor JE.
europepmc +4 more sources
A teaching proposal for the study of Eigenvectors and Eigenvalues
Journal of Technology and Science Education, 2017 In this work, we present a teaching proposal which emphasizes on visualization and physical applications in the study of eigenvectors and eigenvalues.
María José Beltrán Meneu +2 more
doaj +3 more sources
Eigenvalues and Eigenvectors [PDF]
, 1997 The decomposition of a matrix A into a product of two or three matrices can (depending on the characteristics of those matrices) be a very useful first step in computing such things as the rank, the determinant, or an (ordinary or generalized) inverse (of A) as well as a solution to a linear system having A as its coefficient matrix.
Sheldon Axler
+4 more sources
Extremal Eigenvalues and Eigenvectors of Deformed Wigner Matrices [PDF]
, 2014 We consider random matrices of the form $H = W + \lambda V$, $\lambda\in\mathbb{R}^+$, where $W$ is a real symmetric or complex Hermitian Wigner matrix of size $N$ and $V$ is a real bounded diagonal random matrix of size $N$ with i.i.d.\ entries that are
Lee, Ji Oon, Schnelli, Kevin
core +3 more sources
On Approximating the eigenvalues and eigenvectors of linear continuous operators
Journal of Numerical Analysis and Approximation Theory, 1997 Not available.
Emil Cătinaş, I Păvăloiu
doaj +3 more sources
Almost Eigenvalues and Eigenvectors of Almost Mathieu Operators
Applied and Numerical Harmonic Analysis, 2015 The almost Mathieu operator is the discrete Schr\"odinger operator $H_{\alpha,\beta,\theta}$ on $\ell^2(\mathbb{Z})$ defined via $(H_{\alpha,\beta,\theta}f)(k) = f(k + 1) + f(k - 1) + \beta \cos(2\pi \alpha k + \theta) f(k)$. We derive explicit estimates
Strohmer, Thomas, Wertz, Tim
core +2 more sources
Guaranteed a posteriori bounds for eigenvalues and eigenvectors: multiplicities and clusters [PDF]
Mathematics of Computation, 2020 This paper presents a posteriori error estimates for conforming numerical approximations of eigenvalue clusters of second-order self-adjoint elliptic linear operators with compact resolvent.
É. Cancès +4 more
semanticscholar +1 more source
The eigenvectors-eigenvalues identity and Sun's conjectures on determinants and permanents [PDF]
Linear and multilinear algebra, 2022 In this paper, we prove several conjectures raised by Zhi-Wei Sun on determinants and permanents by the eigenvectors-eigenvalues identity recently highlighted by Denton, Parke, Tao and Zhang.
Xuejun Guo, Xin Li, Zhengyu Tao, Tao Wei
semanticscholar +1 more source