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Stability analysis of a general toeplitz systems solver
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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The Wiener (Root Mean Square) Error Criterion in Filter Design and Prediction
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Inversion of Generalized Cauchy Matrices and other Classes of Structured Matrices
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A Theorem of I. Schur and Its Impact on Modern Signal Processing
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Error Analysis of Least Squares Algorithms
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Modifications of the Normal Equations Method that are Numerically Stable
inferredcites →https://doi.org/10.1007/978-3-642-75536-1_4openalex-snapshot
Parallel Algorithms for Toeplitz Systems
inferredcites →https://doi.org/10.1007/bf01388691openalex-snapshot
A look-ahead algorithm for the solution of general Hankel systems
inferredcites →https://doi.org/10.1007/bf01389431openalex-snapshot
QR factorization of Toeplitz matrices
inferredcites →https://doi.org/10.1007/bf01395817openalex-snapshot
Fast inversion algorithms of Toeplitz-plus-Hankel matrices
inferredcites →https://doi.org/10.1007/bf01404468openalex-snapshot
Hybrid algorithm for fast Toeplitz orthogonalization
inferredcites →https://doi.org/10.1007/bf01436075openalex-snapshot
Numerical methods for solving linear least squares problems
inferredcites →https://doi.org/10.1007/bf01436919openalex-snapshot
Solution of linear equations with Hankel and Toeplitz matrices
inferredcites →https://doi.org/10.1007/bf01932150openalex-snapshot
Iterative refinement implies numerical stability
inferredcites →https://doi.org/10.1007/bf01933218openalex-snapshot
A modification to the linpack downdating algorithm
inferredcites →https://doi.org/10.1007/bf02142744openalex-snapshot
Fast orthogonal decomposition of rank deficient Toeplitzmatrices
inferredcites →https://doi.org/10.1007/bf02163269openalex-snapshot
Numerical solution of linear equations with Toeplitz and Vector Toeplitz matrices
inferredcites →https://doi.org/10.1007/bf02166032openalex-snapshot
Note on the iterative refinement of least squares solution
inferredcites →https://doi.org/10.1016/0022-247x(79)90124-0openalex-snapshot
Displacement ranks of matrices and linear equations
inferredcites →https://doi.org/10.1016/0024-3795(80)90161-5openalex-snapshot
Asymptotically fast solution of toeplitz and related systems of linear equations
inferredcites →https://doi.org/10.1016/0024-3795(82)90215-4openalex-snapshot
Remarks on a displacement-rank inversion method for Toeplitz systems
inferredcites →https://doi.org/10.1016/0024-3795(87)90101-7openalex-snapshot
Stability analysis of the method of seminormal equations for linear least squares problems
inferredcites →https://doi.org/10.1016/0024-3795(87)90102-9openalex-snapshot
The weak and strong stability of algorithms in numerical linear algebra
inferredcites →https://doi.org/10.1016/0024-3795(87)90107-8openalex-snapshot
A new algorithm for solving Toeplitz systems of equations
inferredcites →https://doi.org/10.1016/0024-3795(87)90122-4openalex-snapshot
A fast but unstable orthogonal triangularization technique for Toeplitz matrices
inferredcites →https://doi.org/10.1016/0024-3795(93)90471-yopenalex-snapshot
Formally biorthogonal polynomials and a look-ahead Levinson algorithm for general Teoplitz systems
inferredcites →https://doi.org/10.1016/0024-3795(93)90473-2openalex-snapshot
Stable row recurrences for the Padé table and generically superfast lookahead solvers for non-Hermitian Toeplitz systems
inferredcites →https://doi.org/10.1016/0196-6774(80)90013-9openalex-snapshot
Fast solution of toeplitz systems of equations and computation of Padé approximants
inferredcites →https://doi.org/10.1080/10556789208805505openalex-snapshot
Achieving logarithmic growth of temporal and spatial complexity in reverse automatic differentiation
inferredcites →https://doi.org/10.1090/s0025-5718-1973-0331745-1openalex-snapshot
An Error Analysis of a Method for Solving Matrix Equations
inferredcites →https://doi.org/10.1090/s0025-5718-1974-0343558-6openalex-snapshot
Methods for Modifying Matrix Factorizations
inferredcites →https://doi.org/10.1090/s0025-5718-1980-0572859-4openalex-snapshot
Iterative Refinement Implies Numerical Stability for Gaussian Elimination
inferredcites →https://doi.org/10.1093/imamat/12.3.329openalex-snapshot
Least Squares Computations by Givens Transformations Without Square Roots
inferredcites →https://doi.org/10.1093/imamat/23.2.203openalex-snapshot
The Effects of Rounding Error on an Algorithm for Downdating a Cholesky Factorization
inferredcites →https://doi.org/10.1109/78.134471openalex-snapshot
A look-ahead Levinson algorithm for general Toeplitz systems
inferredcites →https://doi.org/10.1109/icassp.1980.1171074openalex-snapshot
Doubling algorithms for Toeplitz and related equations
inferredcites →https://doi.org/10.1117/12.190860openalex-snapshot
Look-ahead Schur-type algorithm for solving general Toeplitz systems
inferredcites →https://doi.org/10.1117/12.948492openalex-snapshot
Matrix Downdating Techniques For Signal Processing
inferredcites →https://doi.org/10.1137/0112045openalex-snapshot
An Algorithm for the Inversion of Finite Toeplitz Matrices
inferredcites →https://doi.org/10.1137/0609005openalex-snapshot
Superfast Solution of Real Positive Definite Toeplitz Systems
inferredcites →https://doi.org/10.1137/0612010openalex-snapshot
Divide-and-Conquer Solutions of Least-Squares Problems for Matrices with Displacement Structure
inferredcites →https://doi.org/10.1137/0612025openalex-snapshot
On Growth in Gaussian Elimination with Complete Pivoting
inferredcites →https://doi.org/10.1137/0613014openalex-snapshot
Backward Error and Condition of Structured Linear Systems
inferredcites →https://doi.org/10.1137/0613032openalex-snapshot
A Look-Ahead Levinson Algorithm for Indefinite Toeplitz Systems
inferredcites →https://doi.org/10.1137/0614033openalex-snapshot
The Use of Pivoting to Improve the Numerical Performance of Algorithms for Toeplitz Matrices
inferredcites →https://doi.org/10.1137/0714030openalex-snapshot
Perturbation Bounds for the $QR$ Factorization of a Matrix
inferredcites →https://doi.org/10.1137/0901021openalex-snapshot
The Numerical Stability of the Levinson-Durbin Algorithm for Toeplitz Systems of Equations
inferredcites →https://doi.org/10.1137/0906025openalex-snapshot
Stability of Methods for Solving Toeplitz Systems of Equations
inferredcites →https://doi.org/10.1137/0908031openalex-snapshot
A Note on Downdating the Cholesky Factorization
inferredcites →https://doi.org/10.1137/0908063openalex-snapshot
Fast Toeplitz Orthogonalization Using Inner Products
inferredcites →https://doi.org/10.1137/0908073openalex-snapshot
Fast Parallel Algorithms for QR and Triangular Factorization
inferredcites →https://doi.org/10.1137/0912067openalex-snapshot
Stability Analysis of a Householder-Based Algorithm for Downdating the Cholesky Factorization
inferredcites →https://doi.org/10.1137/0914042openalex-snapshot
A Cholesky Up- and Downdating Algorithm for Systolic and SIMD Architectures
inferredcites →https://doi.org/10.1137/0914070openalex-snapshot
Fast Inverse $QR$ Factorization for Toeplitz Matrices
inferredcites →https://doi.org/10.1137/1020006openalex-snapshot
Inverses of Toeplitz Operators, Innovations, and Orthogonal Polynomials
inferredcites →https://doi.org/10.1137/s0895479889169042openalex-snapshot
Generalized Displacement Structure for Block-Toeplitz, Toeplitz-Block, and Toeplitz-Derived Matrices
inferredcites →https://doi.org/10.1137/s0895479891221563openalex-snapshot
On the Stability of the Bareiss and Related Toeplitz Factorization Algorithms
inferredcites →https://doi.org/10.1145/321075.321076openalex-snapshot
Error Analysis of Direct Methods of Matrix Inversion
inferredcites →https://doi.org/10.1145/321765.321773openalex-snapshot
An Algorithm for the Inversion of Block Matrices of Toeplitz Form
inferredcites →https://doi.org/10.1145/321812.321822openalex-snapshot
The Solution of a Toeplitz Set of Linear Equations
inferredcites →https://doi.org/10.1515/crll.1917.147.205openalex-snapshot
Über Potenzreihen, die im Innern des Einheitskreises beschränkt sind.
inferredcites →https://doi.org/10.7551/mitpress/2946.001.0001openalex-snapshot
Extrapolation, Interpolation, and Smoothing of Stationary Time Series
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/cpe.883openalex-snapshot
Solving the block-Toeplitz least-squares problem in parallel
inferred← citeshttps://doi.org/10.1006/jsco.1998.0235openalex-snapshot
A Fast and Numerically Stable Euclidean-like Algorithm for Detecting Relatively Prime Numerical Polynomials
inferred← citeshttps://doi.org/10.1007/3-540-45262-1_66openalex-snapshot
On the Stability of the Generalized Schur Algorithm
inferred← citeshttps://doi.org/10.1007/s00357-013-9135-6openalex-snapshot
A Run Length Transformation for Discriminating Between Auto Regressive Time Series
inferred← citeshttps://doi.org/10.1007/s11227-005-0182-6openalex-snapshot
An Efficient Parallel Algorithm to Solve Block?Toeplitz Systems
inferred← citeshttps://doi.org/10.1007/s11634-007-0014-zopenalex-snapshot
A global algorithm to estimate the expectations of the components of an observed univariate mixture
inferred← citeshttps://doi.org/10.1023/a:1009942122633openalex-snapshot
Effective Computation of Rational Approximants and Interpolants
inferred← citeshttps://doi.org/10.1109/cdc.2010.5717165openalex-snapshot
ℒ2 optimization in discrete FIR estimation: Exploiting state-space structure
inferred← citeshttps://doi.org/10.1109/tsp.2004.837413openalex-snapshot
$QR$ Factoring to Compute the GCD of Univariate Approximate Polynomials
inferred← citeshttps://doi.org/10.1137/1.9781611971354.ch4openalex-snapshot
4. Stability of Fast Algorithms for Structured Linear Systems
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$L^2$ Optimization in Discrete FIR Estimation: Exploiting State-Space Structure
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Structured Perturbations Part I: Normwise Distances
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Fraction-Free Computation of Matrix Rational Interpolants and Matrix GCDs
inferred← citeshttps://doi.org/10.1137/s1064827598347423openalex-snapshot
Schur-Type Methods for Solving Least Squares Problems with Toeplitz Structure
inferred← citeshttps://doi.org/10.1142/9789812704436_0024openalex-snapshot
DISPLACEMENT STRUCTURE IN COMPUTING APPROXIMATE GCD OF UNIVARIATE POLYNOMIALS
inferred← citeshttps://doi.org/10.1145/244768.244790openalex-snapshot
Algorithm 766: experiments with a weakly stable algorithm for computing Padé-Hermite and simultaneous Padé approximants
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Eddy-Current Sensors with Asymmetrical Point Spread Function
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