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A contribution to the theory of condition
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/zamm.19660460702openalex-snapshot
Zusammenfassender Bericht. Genauigkeitsfragen bei der Lösung linearer Gleichungssysteme
inferredcites →https://doi.org/10.1007/978-3-642-66282-9openalex-snapshot
Perturbation Theory for Linear Operators
inferredcites →https://doi.org/10.1007/978-3-662-12678-3openalex-snapshot
Perturbation theory for linear operators
inferredcites →https://doi.org/10.1007/bf01400307openalex-snapshot
Stability of the solutions of linear least squares problems
inferredcites →https://doi.org/10.1007/bf02163333openalex-snapshot
Stability of solutions of linear algebraic systems
inferredcites →https://doi.org/10.1007/bf02165096openalex-snapshot
Condition numbers and equilibration of matrices
inferredcites →https://doi.org/10.1016/b978-0-12-208360-0.50008-5openalex-snapshot
Questions of Numerical Condition Related to Polynomials
inferredcites →https://doi.org/10.1112/jlms/s1-40.1.378bopenalex-snapshot
THE THEORY OF MATRICES IN NUMERICAL ANALYSIS
inferredcites →https://doi.org/10.1137/0708073openalex-snapshot
Error Bounds for Approximate Invariant Subspaces of Closed Linear Operators
inferredcites →https://doi.org/10.1137/1019104openalex-snapshot
On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
inferredcites →https://doi.org/10.1145/322139.322148openalex-snapshot
Scaling for Numerical Stability in Gaussian Elimination
inferredcites →https://doi.org/10.2307/1403291openalex-snapshot
Generalized Inverses: Theory and Applications
inferredcites →https://doi.org/10.2307/2314680openalex-snapshot
The Theory of Matrices in Numerical Analysis.
inferredcites →https://doi.org/10.4064/-3-1-223-232openalex-snapshot
Basic concepts in numerical error analysis (suggested by linear algebra problems)
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/nla.2239openalex-snapshot
Perturbation analysis for mixed least squares–total least squares problems
inferred← citeshttps://doi.org/10.1002/nla.540openalex-snapshot
On Frobenius normwise condition numbers for Moore–Penrose inverse and linear least‐squares problems
inferred← citeshttps://doi.org/10.1002/nla.607openalex-snapshot
On componentwise condition numbers for eigenvalue problems with structured matrices
inferred← citeshttps://doi.org/10.1002/nla.627openalex-snapshot
Computing the conditioning of the components of a linear least‐squares solution
inferred← citeshttps://doi.org/10.1007/978-1-4613-8351-2_1openalex-snapshot
Error Bounds for the Computation of Null Vectors with Applications to Markov Chains
inferred← citeshttps://doi.org/10.1007/978-3-642-14866-8_5openalex-snapshot
Chapter 5. Realistic Computer Models
inferred← citeshttps://doi.org/10.1007/978-3-642-55224-3_13openalex-snapshot
Statistical Estimates for the Conditioning of Linear Least Squares Problems
inferred← citeshttps://doi.org/10.1007/bf01385739openalex-snapshot
Perturbation results for nearly uncoupled Markov chains with applications to iterative methods
inferred← citeshttps://doi.org/10.1007/bf01731931openalex-snapshot
On the condition number of linear least squares problems in a weighted Frobenius norm
inferred← citeshttps://doi.org/10.1007/s00211-015-0779-5openalex-snapshot
Structured eigenvalue condition numbers for parameterized quasiseparable matrices
inferred← citeshttps://doi.org/10.1007/s10092-017-0221-8openalex-snapshot
Partial condition number for the equality constrained linear least squares problem
inferred← citeshttps://doi.org/10.1007/s10092-018-0289-9openalex-snapshot
A note on the condition number of the scaled total least squares problem
inferred← citeshttps://doi.org/10.1007/s10543-009-0213-4openalex-snapshot
Using dual techniques to derive componentwise and mixed condition numbers for a linear function of a linear least squares solution
inferred← citeshttps://doi.org/10.1007/s10543-019-00748-5openalex-snapshot
Structured generalized eigenvalue condition numbers for parameterized quasiseparable matrices
inferred← citeshttps://doi.org/10.1007/s11075-021-01151-4openalex-snapshot
Perturbation analysis and condition numbers of mixed least squares-scaled total least squares problem
inferred← citeshttps://doi.org/10.1007/s11075-021-01191-wopenalex-snapshot
On condition numbers of the total least squares problem with linear equality constraint
inferred← citeshttps://doi.org/10.1007/s13226-025-00815-4openalex-snapshot
A Contribution to Condition Numbers of Quaternion Least Squares Problems
inferred← citeshttps://doi.org/10.1016/0024-3795(93)00066-9openalex-snapshot
Condition numbers and their condition numbers
inferred← citeshttps://doi.org/10.1016/j.amc.2009.04.068openalex-snapshot
The condition numbers for weighted Moore–Penrose inverse and weighted linear least squares problem
inferred← citeshttps://doi.org/10.1016/j.apnum.2017.09.006openalex-snapshot
On the partial condition numbers for the indefinite least squares problem
inferred← citeshttps://doi.org/10.1016/j.apnum.2020.10.025openalex-snapshot
Perturbation analysis for total least squares problems with linear equality constraint
inferred← citeshttps://doi.org/10.1016/j.apnum.2022.03.014openalex-snapshot
Condition numbers of multidimensional mixed least squares-total least squares problems
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.2015.07.013openalex-snapshot
A flexible condition number for weighted linear least squares problem and its statistical estimation
inferred← citeshttps://doi.org/10.1016/j.cam.2017.11.039openalex-snapshot
On structured componentwise condition numbers for Hamiltonian eigenvalue problems
inferred← citeshttps://doi.org/10.1016/j.cam.2017.12.010openalex-snapshot
Structured condition numbers for some matrix factorizations of structured matrices
inferred← citeshttps://doi.org/10.1080/01630569508816619openalex-snapshot
Computations in the neighbourhood of algebraic singularities
inferred← citeshttps://doi.org/10.1080/03081087.2019.1623858openalex-snapshot
Conditioning theory of the equality constrained quadratic programming and its applications
inferred← citeshttps://doi.org/10.1080/03081087.2022.2094861openalex-snapshot
Condition numbers of the mixed least squares-total least squares problem revisited
inferred← citeshttps://doi.org/10.1080/09720510.2017.1367481openalex-snapshot
Fast randomized linear least squares
inferred← citeshttps://doi.org/10.1090/psapm/048/1314843openalex-snapshot
A survey of componentwise perturbation theory in numerical linear algebra
inferred← citeshttps://doi.org/10.1090/s0025-5718-06-01913-2openalex-snapshot
On mixed and componentwise condition numbers for Moore–Penrose inverse and linear least squares problems
inferred← citeshttps://doi.org/10.1109/aici.2010.76openalex-snapshot
On Condition Number for Weighted Linear Least Squares Problem
inferred← citeshttps://doi.org/10.1109/chicc.2016.7554343openalex-snapshot
A capture method based on series-parallel manipulator for satellite on-orbit service
inferred← citeshttps://doi.org/10.1137/050643088openalex-snapshot
A Partial Condition Number for Linear Least Squares Problems
inferred← citeshttps://doi.org/10.1137/0614056openalex-snapshot
Error Bounds for the Computation of Null Vectors with Applications to Markov Chains
inferred← citeshttps://doi.org/10.1137/090777608openalex-snapshot
A Contribution to the Conditioning of the Total Least-Squares Problem
inferred← citeshttps://doi.org/10.1137/090777773openalex-snapshot
Spectral Condition Numbers of Orthogonal Projections and Full Rank Linear Least Squares Residuals
inferred← citeshttps://doi.org/10.1137/19m1288644openalex-snapshot
On Iterative Solution of the Extended Normal Equations
inferred← citeshttps://doi.org/10.1137/20m1323527openalex-snapshot
The Condition Number of Riemannian Approximation Problems
inferred← citeshttps://doi.org/10.1137/21m1400420openalex-snapshot
Multidimensional Total Least Squares Problem with Linear Equality Constraints
inferred← citeshttps://doi.org/10.1137/s0895479800368007openalex-snapshot
Stability of Structured Hamiltonian Eigensolvers
inferred← citeshttps://doi.org/10.1137/s0895479801389564openalex-snapshot
A Unified Theoryof Conditioning for Linear Least Squares and Tikhonov Regularization Solutions
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/s0895479894276771openalex-snapshot
Perturbation Analysis of the Pole Assignment Problem
inferred← citeshttps://doi.org/10.1137/s0895479895296021openalex-snapshot
Small-Sample Statistical Estimates for the Sensitivity of Eigenvalue Problems
inferred← citeshttps://doi.org/10.1137/s0895479896313188openalex-snapshot
Structured Backward Error and Condition of Generalized Eigenvalue Problems
inferred← citeshttps://doi.org/10.1177/1756827718789066openalex-snapshot
Assessing the stochastic error of acoustic scattering matrices using linear methods
inferred← citeshttps://doi.org/10.1201/b16113-74openalex-snapshot
Structured Eigenvalue Problems — Structure-Preserving Algorithms, Structured Error Analysis
inferred← citeshttps://doi.org/10.13001/ela.2023.7799openalex-snapshot
On condition numbers of quaternion matrix inverse and quaternion linear systems with multiple right-hand sides
inferred← citeshttps://doi.org/10.1515/sagmb-2025-0043openalex-snapshot
Perfect collinearity not created equal: measuring and visualizing the severity of multi-collinearity of modern omics data
inferred← citeshttps://doi.org/10.1515/spma-2020-0004openalex-snapshot
Some Characterizations of the Distribution of the Condition Number of a Complex Gaussian Matrix
inferred← citeshttps://doi.org/10.2298/fil0901043zopenalex-snapshot
Mixed and component wise condition numbers for weighted Moore-Penrose inverse and weighted least squares problems
inferred← citeshttps://doi.org/10.4236/apm.2021.112008openalex-snapshot
Perturbation Analysis for the Matrix-Scaled Total Least Squares Problem
inferred← citeshttps://doi.org/10.48550/arxiv.1012.5484openalex-snapshot
A contribution to the conditioning of the total least squares problem
inferred← citeshttps://doi.org/10.48550/arxiv.1808.03374openalex-snapshot
Fast computation of the principal components of genotype matrices in Julia
inferred← citeshttps://doi.org/10.48550/arxiv.2012.09534openalex-snapshot
A contribution to condition numbers of the multidimensional total least squares problem with linear equality constraint
inferred← citeshttps://doi.org/10.5860/choice.51-6222openalex-snapshot
Condition: the geometry of numerical algorithms
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