- Matrix rigidity of random Toeplitz matrices
2016/06/10 by Oded Goldreich, Avishay Tal · 1 citation
Computer Science · Engineering · Mathematics · #Quantum Computing Algorithms and Architecture #Computability, Logic, AI Algorithms #graph theory and CDMA systems #Toeplitz matrix #Mathematics #Pure mathematics #Random matrix #Rigidity (electromagnetism) #Matrix (chemical analysis) #Matrix analysis #Combinatorics #Algebra over a field #Physics #Materials science #Quantum mechanics #Eigenvalues and eigenvectors
- Vandermonde Decomposition of Multilevel Toeplitz Matrices With Application to Multidimensional Super-Resolution
2016/04/12 by Zai Yang, Lihua Xie, Petre Stoica · 1 citation
Engineering · Computer Science · Mathematics · #Sparse and Compressive Sensing Techniques #Direction-of-Arrival Estimation Techniques #Structural Health Monitoring Techniques #Toeplitz matrix #Vandermonde matrix #Mathematics #Matrix decomposition #Singular value decomposition #Rank (graph theory) #Algorithm #Applied mathematics #Matrix (chemical analysis) #Algebra over a field #Combinatorics #Pure mathematics #Eigenvalues and eigenvectors
- Spectral Properties of Schrödinger Operators With Pattern Sturmian Potentials
2015/11/12 by David Damanik, Qinghui Liu, Damanik, David +4 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Class (philosophy) #Conjecture #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical analysis #Mathematics #Operator (biology) #Physics #Pure mathematics #Quantum mechanics #Quasicrystal Structures and Properties #Rare-earth and actinide compounds #Schrödinger's cat #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #Spectral measure #Spectral properties #Spectrum (functional analysis) #Toeplitz matrix #math-ph #math.DS #math.MP #math.SP
- An eigenvalue problem for even order tensors with its applications
2015/08/06 by Lu-Bin Cui, Lu‐Bin Cui, Chuan Chen +2 · 2 citations
Engineering · Mathematics · Medicine · #Advanced Neuroimaging Techniques and Applications #Algorithm #Cartesian tensor #Circulant matrix #Combinatorics #Divide-and-conquer eigenvalue algorithm #Eigenvalues and eigenvectors #Elasticity and Material Modeling #Exact solutions in general relativity #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Order (exchange) #Physics #Pure mathematics #Singular value #Singular value decomposition #Tensor (intrinsic definition) #Tensor contraction #Tensor decomposition and applications #Tensor density #Tensor field #Tensor product #Toeplitz matrix #Transpose
- Every Matrix is a Product of Toeplitz Matrices
2015/03/02 by Ke Ye, Lek-Heng Lim, Lek‐Heng Lim · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebra over a field #Combinatorics #Eigenvalues and eigenvectors #Geometry #Mathematical Analysis and Transform Methods #Mathematics #Matrix (chemical analysis) #Matrix Theory and Algorithms #Matrix analysis #Physics #Product (mathematics) #Pure mathematics #Toeplitz matrix
- Joint Spatial Division and Multiplexing—The Large-Scale Array Regime
2013/06/18 by Ansuman Adhikary, Junyoung Nam, Jae-Young Ahn +1 · 119 citations
Computer Science · Engineering · Mathematics · #Advanced MIMO Systems Optimization #Algorithm #Antenna (radio) #Antenna array #Base station #Beamforming #Channel (broadcasting) #Channel state information #Computer science #Cooperative Communication and Network Coding #Direction-of-Arrival Estimation Techniques #MIMO #Mathematics #Multiplexing #Precoding #Spatial multiplexing #Telecommunications #Telecommunications link #Toeplitz matrix #Topology (electrical circuits) #Wireless
- A Superfast Algorithm for Toeplitz Systems of Linear Equations
2007/12/13 by Shivkumar Chandrasekaran, Ming Gu, X. Sun +2 · 2 citations
Computer Science · Physics and Astronomy · Engineering · Mathematics · #Matrix Theory and Algorithms #Electromagnetic Scattering and Analysis #Numerical methods in engineering #Toeplitz matrix #Mathematics #Solver #Rank (graph theory) #Fast Fourier transform #Cauchy distribution #Matrix (chemical analysis) #Linear system #System of linear equations #Applied mathematics #Algorithm #Mathematical analysis #Pure mathematics #Mathematical optimization #Combinatorics
- An Introduction to Iterative Toeplitz Solvers
2007/01/01 by Raymond H. Chan, Xiaoqing Jin · 2 citations
Computer Science · Mathematics · Medicine · #Matrix Theory and Algorithms #Toeplitz matrix #Computer science #Applied mathematics #Mathematics #Algebra over a field #Calculus (dental) #Pure mathematics #Medicine
- On the Correlation Matrix of the Discrete Fourier Transform and the Fast Solution of Large Toeplitz Systems for Long-Memory Time Series
2006/05/16 by Willa W. Chen, Clifford M. Hurvich, Yi Lü · 1 citation
Computer Science · Economics, Econometrics and Finance · Mathematics · #Blind Source Separation Techniques #Image and Signal Denoising Methods #Complex Systems and Time Series Analysis #Toeplitz matrix #Mathematics #Covariance matrix #Applied mathematics #Upper and lower bounds #Gaussian #Matrix (chemical analysis) #Covariance #Series (stratigraphy) #Algorithm #Mathematical analysis #Statistics #Pure mathematics
- Distribution of Eigenvalues for the Ensemble of Real Symmetric Toeplitz Matrices
2003/12/10 by Christopher Hammond, Steven J. Miller · 1 citation
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Central limit theorem #Circular law #Combinatorics #Convergence of random variables #Diophantine equation #Distribution (mathematics) #Eigenvalues and eigenvectors #Gaussian #Mathematical analysis #Mathematics #Matrix Theory and Algorithms #Measure (data warehouse) #Probability measure #Pure mathematics #Quantum mechanics #Random Matrices and Applications #Random matrix #Random variable #Statistics #Toeplitz matrix #math.PR #math.ST #msc:15A52 #msc:60F99 #msc:62H10 #stat.TH
- Patterns in eigenvalues: the 70th Josiah Willard Gibbs lecture
2003/02/12 by Persi Diaconis · 1 citation
Mathematics · #Random Matrices and Applications #Advanced Combinatorial Mathematics #Mathematical Dynamics and Fractals #Toeplitz matrix #Eigenvalues and eigenvectors #Mathematics #Unitary state #Riemann hypothesis #Riemann zeta function #Variety (cybernetics) #Pure mathematics #Statistics #Physics #Quantum mechanics
- A Superfast Toeplitz Solver with Improved Numerical Stability
2003/01/01 by Michael Stewart · 1 citation
Computer Science · Mathematics · #Matrix Theory and Algorithms #Advanced Topics in Algebra #Advanced Algebra and Geometry #Toeplitz matrix #Solver #Mathematics #FLOPS #Inverse #Matrix (chemical analysis) #Positive-definite matrix #Algorithm #Numerical stability #Block (permutation group theory) #Inversion (geology) #Divide and conquer algorithms #Applied mathematics #Combinatorics #Parallel computing #Numerical analysis #Computer science #Mathematical optimization #Pure mathematics #Mathematical analysis #Geometry #Eigenvalues and eigenvectors
- 4. Stability of Fast Algorithms for Structured Linear Systems
1999/01/01 by Richard P. Brent · 1 citation
Computer Science · Mathematics · #Matrix Theory and Algorithms #Mathematical functions and polynomials #Advanced Optimization Algorithms Research #Toeplitz matrix #Stability (learning theory) #Rank (graph theory) #Algorithm #Linear system #Mathematics #Displacement (psychology) #Computer science #Applied mathematics #Mathematical analysis #Pure mathematics #Combinatorics
- Fast and Exact Simulation of Stationary Gaussian Processes through Circulant Embedding of the Covariance Matrix
1997/07/01 by C. R. Dietrich, Garry N. Newsam · 1 citation
Environmental Science · Mathematics · Engineering · #Soil Geostatistics and Mapping #Statistical and numerical algorithms #Soil and Unsaturated Flow #Circulant matrix #Mathematics #Fast Fourier transform #Positive-definite matrix #Toeplitz matrix #Covariance matrix #Embedding #Realization (probability) #Matrix (chemical analysis) #Gaussian #Gaussian process #Covariance #Covariance function #Combinatorics #Applied mathematics #Algorithm #Pure mathematics #Statistics #Computer science #Eigenvalues and eigenvectors
- On the Stability of the Bareiss and Related Toeplitz Factorization Algorithms
1995/01/01 by Adam W. Bojańczyk, Richard P. Brent, F. R. de Hoog +1 · 3 citations
Computer Science · Mathematics · #Matrix Theory and Algorithms #Advanced Topics in Algebra #Advanced Optimization Algorithms Research #Toeplitz matrix #Mathematics #Factorization #Stability (learning theory) #Algorithm #Levinson recursion #Algebra over a field #Pure mathematics #Computer science
- Construction of a Hermitian Toeplitz matrix from an arbitrary set of eigenvalues
1992/01/01 by Fazal Noor, S.D. Morgera · 1 citation
Computer Science · Engineering · Mathematics · #Matrix Theory and Algorithms #graph theory and CDMA systems #Algebraic and Geometric Analysis #Toeplitz matrix #Hermitian matrix #Eigenvalues and eigenvectors #Matrix (chemical analysis) #Mathematics #Symmetric matrix #Inverse #Combinatorics #Eigendecomposition of a matrix #Pure mathematics #Algebra over a field #Applied mathematics #Physics #Geometry
- On some properties of positive definite toeplitz matrices and their possible applications
1988/04/01 by Bishwa Nath Mukherjee, Sadhan Samar Maiti · 1 citation
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebra over a field #Applied mathematics #Computer science #Eigenvalues and eigenvectors #Inverse #Levinson recursion #Mathematics #Matrix (chemical analysis) #Matrix Theory and Algorithms #Positive-definite matrix #Pure mathematics #Reflection (computer programming) #Toeplitz matrix #graph theory and CDMA systems
- On the asymptotic eigenvalue distribution of Toeplitz matrices
1972/11/01 by R. Gray, Robert M. Gray · 14 citations
Mathematics · #Algebra over a field #Applied mathematics #Asymptotic analysis #Eigenvalues and eigenvectors #Holomorphic and Operator Theory #Levinson recursion #Mathematical proof #Mathematics #Point processes and geometric inequalities #Pure mathematics #Random Matrices and Applications #Toeplitz matrix
- Numerical solution of linear equations with Toeplitz and Vector Toeplitz matrices
1969/10/01 by E.H. Bareiss, Erwin H. Bareiss · 4 citations
Computer Science · Mathematics · #Algebra over a field #Applied mathematics #Levinson recursion #Mathematical analysis #Mathematics #Matrix Theory and Algorithms #Numerical analysis #Pure mathematics #Toeplitz matrix
- Correlations and Spontaneous Magnetization of the Two-Dimensional Ising Model
1963/02/01 by Elliott W. Montroll, Renfrey B. Potts, John Ward · 3 citations
Physics and Astronomy · Economics, Econometrics and Finance · Computer Science · Mathematics · #Theoretical and Computational Physics #Complex Systems and Time Series Analysis #Topological and Geometric Data Analysis #Pfaffian #Toeplitz matrix #Ising model #Spontaneous magnetization #Magnetization #Mathematics #Generalization #Limiting #Lattice (music) #Mathematical physics #Statistical physics #Condensed matter physics #Physics #Quantum mechanics #Pure mathematics #Mathematical analysis #Magnetic field