Found 50 Documents (Results 1–50)
A divide-and-conquer method for constructing a pseudo-Jacobi matrix from mixed given data. (English) Zbl 1520.15003
Reviewer: Tin Yau Tam (Reno)
An inverse eigenvalue problem for Jacobi matrices with a missing eigenvalue. (English) Zbl 1496.65056
Computing low-rank rightmost eigenpairs of a class of matrix-valued linear operators. (English) Zbl 1485.65036
Lie-Poisson methods for isospectral flows. (English) Zbl 1450.37073
Reviewer: Bülent Karasözen (Ankara)
The extrinsic geometry of dynamical systems tracking nonlinear matrix projections. (English) Zbl 07099843
On the equivalence between SOR-type methods for linear systems and the discrete gradient methods for gradient systems. (English) Zbl 1392.65066
Universality for the Toda algorithm to compute the largest eigenvalue of a random matrix. (English) Zbl 1454.60012
Inverse eigenvalue problems for centrosymmetric matrices under a central principal submatrix constraint. (English) Zbl 1427.15040
Geometry of matrix decompositions seen through optimal transport and information geometry. (English) Zbl 1368.15010
Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix. (English) Zbl 1300.65020
The reflexive least squares solutions of the general coupled matrix equations with a submatrix constraint. (English) Zbl 1336.65074
Appl. Math. Comput. 225, 425-445 (2013); correction ibid. 247, 233-234 (2014).
MSC:
65F30
15A24
The reflexive least squares solutions of the matrix equation \(A_1X_1B_1+A_2X_2B_2+\cdots +A_lX_lB_l=C\) with a submatrix constraint. (English) Zbl 1281.65071
Reviewer: Zhihua Zhang (Beijing)
MSC:
65F30
15A24
An efficient algorithm for the submatrix constraint of the matrix equation \(A_1 X_1 B_1+A_2 X_2 B_2+{\cdots}+A_l X_l B_l =C\). (English) Zbl 1255.65076
MSC:
65F10
65F30
Numerical solutions of \(AXB=C\) for centrosymmetric matrix \(X\) under a specified submatrix constraint. (English) Zbl 1249.65082
Inverse eigenvalue problems for bisymmetric matrices under a central principal submatrix constraint. (English) Zbl 1211.15013
Reviewer: Tin Yau Tam (Auburn)
Numerical solutions of \(AXB = C\) for mirrorsymmetric matrix \(X\) under a specified submatrix constraint. (English) Zbl 1223.65031
Reviewer: Hu Yong-Jian (Beijing)
The asymptotics of Wilkinson’s shift: Loss of cubic convergence. (English) Zbl 1187.65035
Reviewer: Jiri Náprstek (Praha)
The submatrix constraint problem of matrix equation \(AXB+CYD=E\). (English) Zbl 1189.65079
Reviewer: Edgar Pereira (Covilha)
MSC:
65F30
15A24
An atlas for tridiagonal isospectral manifolds. (English) Zbl 1144.65025
Reviewer: R. Militaru (Craiova)
Least squares solutions to \(AX = B\) for bisymmetric matrices under a central principal submatrix constraint and the optimal approximation. (English) Zbl 1133.15016
Reviewer: Vladimir P. Kostov (Nice)
The expansion problem of anti-symmetric matrix under a linear constraint and the optimal approximation. (English) Zbl 1103.15008
Reviewer: Vladimir P. Kostov (Nice)
Preserving Poisson structure and orthogonality in numerical integration of differential equations. (English) Zbl 1067.65145
Reviewer: Werner M. Seiler (Heidelberg)
The continuous-time Rayleigh quotient flow on the sphere. (English) Zbl 1030.65025
Reviewer: Amin Boumenir (Carrollton)
MSC:
65F15
On matrix differential equations and abstract FG algorithm. (English) Zbl 1042.34021
Reviewer: Messoud A. Efendiev (Berlin)
An implementation of the dqds algorithm (positive case). (English) Zbl 0952.65031
Reviewer: F.Szidarovszky (Tucson)
MSC:
65F15
On an integrable discretization of the Rayleigh quotient gradient system and the power method with a shift. (English) Zbl 0929.65127
Reviewer: Werner M.Seiler (Mannheim)
Jacobi algorithm for symmetric eigenvalue problem and integrable gradient system of Lax form. (English) Zbl 1306.65188
MSC:
65F15
Numerical procedures based on Runge-Kutta methods for solving isospectral flows. (English) Zbl 0904.65074
Reviewer: N.Vulchanov (Sofia)
Numerical solution of isospectral flows. (English) Zbl 0907.65067
Reviewer: E.Hairer (Genève)
Variable step-size techniques in continuous Runge-Kutta methods for isospectral dynamical systems. (English) Zbl 0884.65084
Reviewer: W.M.Seiler (Karlsruhe)
On matrix structures invariant under Toda-like isospectral flows. (English) Zbl 0870.15005
Reviewer: N.D.Sengupta (Bombay)
Scaled Toda-like flows. (English) Zbl 0818.65063
Reviewer: K.Burrage (Brisbane)
A parallel processed scheme for the eigenproblem of positive definite matrices. (English) Zbl 0823.65039
Reviewer: A.Ruhe (Göteborg)
Rational functions, Toda flows, and LR-like algorithms. (English) Zbl 0819.93018
Reviewer: R.Guidorzi (Bologna)
A shifted method for solving symmetric eigenvalue problems. (English) Zbl 0776.65029
Reviewer: J.Albrycht (Poznań)
Singular-value decomposition via gradient and self-equivalent flows. (English) Zbl 0763.65022
Reviewer: M.Vajterśic (Bratislava)
Matrix differential equations: A continuous realization process for linear algebra problems. (English) Zbl 0773.34007
Reviewer: L.Elsner (Bielefeld)
An interactive method for the eigenvalue problem for matrices. (English) Zbl 0696.65035
Reviewer: H.Ratschek
Self-equivalent flows associated with the generalized eigenvalue problem. (English) Zbl 0684.65037
Reviewer: D.Herceg
QR-type factorizations, the Yang-Baxter equation, and an eigenvalue problem of control theory. (English) Zbl 0678.93007
Self-similar flows. (English) Zbl 0666.15008
Reviewer: B.Reichstein
A continuous approximation to the generalized Schur decomposition. (English) Zbl 0595.15010
Reviewer: F.Uhlig
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