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The structured sensitivity of Vandermonde-like systems

https://doi.org/10.1007/bf01396218
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01386090openalex-snapshot
Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
inferredcites →https://doi.org/10.1007/bf01408579openalex-snapshot
Error analysis of the Bj�rck-Pereyra algorithms for solving Vandermonde systems
inferredcites →https://doi.org/10.1007/bf01931284openalex-snapshot
Component-wise perturbation analysis and error bounds for linear least squares solutions
inferredcites →https://doi.org/10.1007/bf02238741openalex-snapshot
New condition numbers for matrices and linear systems
inferredcites →https://doi.org/10.1016/0024-3795(84)90093-4openalex-snapshot
Convergence of a subgradient method for computing the bound norm of matrices
inferredcites →https://doi.org/10.1016/0024-3795(92)90046-dopenalex-snapshot
Componentwise perturbation theory for linear systems with multiple right-hand sides
inferredcites →https://doi.org/10.1017/cbo9780511810817openalex-snapshot
Matrix Analysis
inferredcites →https://doi.org/10.1090/conm/112/1087110openalex-snapshot
Computing error bounds for regression problems
inferredcites →https://doi.org/10.1090/s0025-5718-1970-0290541-1openalex-snapshot
Solution of Vandermonde Systems of Equations
inferredcites →https://doi.org/10.1137/0610013openalex-snapshot
Solving Sparse Linear Systems with Sparse Backward Error
inferredcites →https://doi.org/10.1137/0610035openalex-snapshot
The Strong Stability of Algorithms for Solving Symmetric Linear Systems
inferredcites →https://doi.org/10.1137/0611002openalex-snapshot
Stability Analysis of Algorithms for Solving Confluent Vandermonde-Like Systems
inferredcites →https://doi.org/10.1137/0613014openalex-snapshot
Backward Error and Condition of Structured Linear Systems
inferredcites →https://doi.org/10.1137/0905023openalex-snapshot
Condition Estimates
inferredcites →https://doi.org/10.1137/1008061openalex-snapshot
Associated Polynomials and Uniform Methods for the Solution of Linear Problems
inferredcites →https://doi.org/10.1145/322139.322148openalex-snapshot
Scaling for Numerical Stability in Gaussian Elimination
inferredcites →https://doi.org/10.1145/50063.214386openalex-snapshot
FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation
inferredcites →https://doi.org/10.56021/9781421407944openalex-snapshot
Matrix Computations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-7643-8996-3_9openalex-snapshot
A Priori Estimates on the Structured Conditioning of Cauchy and Vandermonde Matrices
inferred← citeshttps://doi.org/10.1007/s10092-026-00691-2openalex-snapshot
Structured backward error and stopping criterion for the iterative solution of double saddle point system
inferred← citeshttps://doi.org/10.1007/s100920200004openalex-snapshot
Componentwise conditioning of the DFT
inferred← citeshttps://doi.org/10.1016/0377-0427(94)00004-kopenalex-snapshot
The condition of Steffensen's acceleration in several variables
inferred← citeshttps://doi.org/10.1016/j.acha.2024.101687openalex-snapshot
On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents
inferred← citeshttps://doi.org/10.1016/j.cam.2006.02.026openalex-snapshot
Structured mixed and componentwise condition numbers of some structured matrices
inferred← citeshttps://doi.org/10.1016/j.cam.2016.05.023openalex-snapshot
Structured condition numbers of structured Tikhonov regularization problem and their estimations
inferred← citeshttps://doi.org/10.1016/s0024-3795(01)00273-7openalex-snapshot
Inversion error, condition number, and approximate inverses of uncertain matrices
inferred← citeshttps://doi.org/10.1090/psapm/048/1314843openalex-snapshot
A survey of componentwise perturbation theory in numerical linear algebra
inferred← citeshttps://doi.org/10.1137/s0895479802405732openalex-snapshot
Structured Perturbations Part I: Normwise Distances
inferred← citeshttps://doi.org/10.1137/s0895479802405744openalex-snapshot
Structured Perturbations Part II: Componentwise Distances
inferred← citeshttps://doi.org/10.1137/s0895479892231255openalex-snapshot
On the Sensitivity of Solution Components in Linear Systems of Equations
inferred← citeshttps://doi.org/10.1137/s0895479896313188openalex-snapshot
Structured Backward Error and Condition of Generalized Eigenvalue Problems
inferred← citeshttps://doi.org/10.1137/s0895479897314759openalex-snapshot
Bounds for the Structured Backward Errors of Vandermonde Systems
inferred← citeshttps://doi.org/10.48550/arxiv.1504.00931openalex-snapshot
Facial Reduction and SDP Methods for Systems of Polynomial Equations
inferred← citeshttps://doi.org/10.48550/arxiv.2007.08101openalex-snapshot
The Sparse Hausdorff Moment Problem, with Application to Topic Models
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