A generalized Schur-Horn theorem and optimal frame completions

DOI10.1016/j.acha.2015.03.004zbMath1336.42022arXiv1408.2882OpenAlexW2962865047MaRDI QIDQ262942

Justin D. Marks, Matthew Fickus, Miriam J. Poteet

Publication date: 4 April 2016

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2882

zbMATH Keywords

frameSchur-Horn

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Related Items

Frame completions with prescribed norms: local minimizers and applications ⋮ Multiplicative Lidskii's inequalities and optimal perturbations of frames ⋮ The algebraic matroid of the finite unit norm tight frame (funtf) variety ⋮ Optimal frame designs for multitasking devices with weight restrictions ⋮ Frame completion with prescribed norms via alternating projection method ⋮ G-frame operator distance problems ⋮ Optimal \(\alpha,\mathfrak{d})\)-multi-completion of \(\mathfrak{d}\)-designs

Cites Work

• Unnamed Item
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• Constructing all self-adjoint matrices with prescribed spectrum and diagonal
• Optimal frame completions with prescribed norms for majorization
• Optimal frame completions
• Diagonal elements and eigenvalues of a real symmetric matrix
• Geometric proofs of some theorems of Schur-Horn type
• Numerically stable generation of correlation matrices and their factors
• Finite normalized tight frames
• Equal-norm tight frames with erasures
• Optimal dual frames and frame completions for majorization
• Constructing finite frames of a given spectrum and set of lengths
• The Schur-Horn theorem for operators and frames with prescribed norms and frame operator
• Generation of finite tight frames by Householder transformations
• Designing structured tight frames via an alternating projection method
• Matrix Analysis
• Constructing a Hermitian Matrix from Its Diagonal Entries and Eigenvalues
• Quantized overcomplete expansions in IR/sup N/: analysis, synthesis, and algorithms
• Optimal sequences and sum capacity of synchronous CDMA systems
• Near-Optimal Sensor Placement for Linear Inverse Problems
• Optimal sequences for CDMA under colored noise: a Schur-saddle function property
• Generalized Finite Algorithms for Constructing Hermitian Matrices with Prescribed Diagonal and Spectrum
• Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix
• Quantized frame expansions with erasures

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