On constructing matrices with prescribed singular values and diagonal elements
From MaRDI portal
Publication:1300862
DOI10.1016/S0024-3795(98)10124-6zbMath0933.65043OpenAlexW2083285651MaRDI QIDQ1300862
Publication date: 20 March 2000
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0024-3795(98)10124-6
fast algorithminverse eigenvalue problemSchur-Horn theoremprescribed diagonal elementsprescribed singular valuesSing-Thompson theorem
Eigenvalues, singular values, and eigenvectors (15A18) Numerical solutions to inverse eigenvalue problems (65F18)
Related Items
Solving an inverse eigenvalue problem with triple constraints on eigenvalues, singular values, and diagonal elements, Gradient flow methods for matrix completion with prescribed eigenvalues., Riemannian inexact Newton method for structured inverse eigenvalue and singular value problems, Attaining the optimal Gaussian diffusion acceleration, Low rank update of singular values
Cites Work
- Unnamed Item
- Group majorization, the convex hulls of sets of matrices, and the diagonal element - singular value inequalities
- A note on constructing a symmetric matrix with specified diagonal entries and eigenvalues
- Inequalities and existence theorems in the theory of matrices
- Some Results on Matrices with Prescribed Diagonal Elements and Singular Values
- Singular Values, Diagonal Elements, and Convexity
- Constructing a Hermitian Matrix from Its Diagonal Entries and Eigenvalues
- Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix
- Inequalities: theory of majorization and its applications