The geometric mean decomposition

DOI10.1016/j.laa.2004.09.018zbMath1063.15009OpenAlexW2160432600MaRDI QIDQ1763844

Yi Jiang, William W. Hager, Jian Li

Publication date: 22 February 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.09.018

zbMATH Keywords

algorithmsMIMO systemssingular value decompositionsignal processingmatrix factorizationSchur decompositiongeometric mean decomposition\textbf{QR} decompositionunitary factorization

Mathematics Subject Classification ID

Factorization of matrices (15A23) Signal detection and filtering (aspects of stochastic processes) (60G35) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Application of orthogonal and other special functions (94A11) Orthogonalization in numerical linear algebra (65F25)

Related Items (2)

Optimization of generalized mean square error in signal processing and communication ⋮ The generalized triangular decomposition

Uses Software

• mctoolbox
• NAPACK

Cites Work

• On constructing unit triangular matrices with prescribed singular values
• Writing on dirty paper (Corresp.)
• Joint transceiver design for MIMO communications using geometric mean decomposition
• The generalized triangular decomposition
• Calculating the Singular Values and Pseudo-Inverse of a Matrix
• Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation
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