Results 261 to 270 of about 448,247 (335)

Reducing the Symmetric Matrix Eigenvalue Problem to Matrix Multiplications

SIAM Journal of Scientific Computing, 1993
One important issue for matrix eigenvalue problems on high performance parallel computers is the cost of data movement. The paper shows that the eigenvalues and eigenvectors of a symmetric \(n\times n\) matrix can be found by \(O(\log_ 2n)\) matrix multiplications.
Ya Yan Lu, Shing-Tung Yau
exaly   +3 more sources

Modified Finite Element Transfer Matrix Method for Eigenvalue Problem of Flexible Structures [PDF]

Journal of Applied Mechanics, Transactions ASME, 2011
The speedy computation of eigenvalue problems is the key point in structure dynamics. In this paper, by combining transfer matrix method and finite element method, the modified finite element-transfer matrix method and its algorithm for eigenvalue ...
Xiaoting Rui, Rong Bao, Rui Xiaoting
exaly   +3 more sources

The matrix eigenvalue problem

Microcomputer Algorithms, 2020
Find scalars λ and vectors x = 0 for which Ax = λx The form of the matrix affects the way in which we solve this problem, and we also have variety as to what is to be found. • A symmetric and real (or Hermitian and complex). This is the most common case.
J. Killingbeck
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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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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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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.
openaire   +4 more sources

Inverse matrix eigenvalue problems

Journal of Mathematical Sciences, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chugunov V N, Kh D Ikramov, Ikramov Kh D
exaly   +2 more sources

Eigenvalue problem for an irregular ?-matrix

Journal of Soviet Mathematics, 1980
The solution of the eigenvalue problem is examined for the polynomial matrixD(λ)=Aoλs+A1λs−1+...+As when the matricesA0 andA2 (or one of them) are singular. A normalized process is used for solving the problem, permitting the determination of linearly independent eigenvectors corresponding to the zero eigenvalue of matrixD(λ) and to the zero eigenvalue
V N Kublanovskaya, V B Khazanov, Kublanovskaya V N   +2 more
exaly   +2 more sources

Matrix Eigenvalue Problem

Numerical Analysis with Algorithms and Programming, 2018
S. Ray
semanticscholar   +3 more sources