The generalized triangular decomposition
DOI10.1090/S0025-5718-07-02014-5zbMath1135.15010OpenAlexW2036298026MaRDI QIDQ5444317
Jian Li, William W. Hager, Yi Jiang
Publication date: 25 February 2008
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-07-02014-5
algorithmMIMO systemssingular value decompositionnumerical stabilitymatrix factorizationSchur decompositiongeometric mean decompositioninverse eigenvalue problemsunitary factorization
Factorization of matrices (15A23) Eigenvalues, singular values, and eigenvectors (15A18) Channel models (including quantum) in information and communication theory (94A40) Orthogonalization in numerical linear algebra (65F25)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On constructing unit triangular matrices with prescribed singular values
- The geometric mean decomposition
- Computation of Plain Unitary Rotations Transforming a General Matrix to Triangular Form
- Equal-diagonal QR decomposition and its application to precoder design for successive-cancellation detection
- Inverse Eigenvalue Problems
- Tunable Channel Decomposition for MIMO Communications Using Channel State Information
- Optimal sequences for CDMA with decision-feedback receivers
- A Fast Recursive Algorithm for Constructing Matrices with Prescribed Eigenvalues and Singular Values
- Uniform channel decomposition for MIMO communications
- Joint transceiver design for MIMO communications using geometric mean decomposition
- Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems
- Calculating the Singular Values and Pseudo-Inverse of a Matrix
- Unitary Triangularization of a Nonsymmetric Matrix
- Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation
- On the Eigenvalues of a Matrix with Prescribed Singular Values
