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Solution of linear least squares via the ABS algorithm

https://doi.org/10.1007/bf01581261
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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/bf00050789openalex-snapshot
A class of scaled direct methods for linear systems
inferredcites →https://doi.org/10.1007/bf00933852openalex-snapshot
A direct method for the general solution of a system of linear equations
inferredcites →https://doi.org/10.1007/bf01391414openalex-snapshot
A class of direct methods for linear systems
inferredcites →https://doi.org/10.1007/bf01397545openalex-snapshot
The local convergence of ABS methods for nonlinear algebraic equations
inferredcites →https://doi.org/10.1007/bf01436383openalex-snapshot
Conjugate direction methods for solving systems of linear equations
inferredcites →https://doi.org/10.1007/bf01934122openalex-snapshot
Solving linear least squares problems by Gram-Schmidt orthogonalization
inferredcites →https://doi.org/10.1007/bf01939974openalex-snapshot
Iterative refinement of linear least squares solutions II
inferredcites →https://doi.org/10.1007/bf02163027openalex-snapshot
Singular value decomposition and least squares solutions
inferredcites →https://doi.org/10.1007/bf02238196openalex-snapshot
Report on test matrices for generalized inverses
inferredcites →https://doi.org/10.1007/bf02239748openalex-snapshot
Solving linear least squares by orthogonal factorization and pseudoinverse computation via the modified Huang algorithm in the ABS class
inferredcites →https://doi.org/10.1007/bf02575734openalex-snapshot
On the numerical stability of Huang's update
inferredcites →https://doi.org/10.1016/0378-4754(90)90203-uopenalex-snapshot
ABS projection algorithms
inferredcites →https://doi.org/10.1016/s1570-8659(05)80036-5openalex-snapshot
Least squares methods
inferredcites →https://doi.org/10.1016/s1570-8659(09)70001-8openalex-snapshot
Handbook of Numerical Analysis
inferredcites →https://doi.org/10.1080/02331938708843232openalex-snapshot
Numerical experiments with the symmetric algorithm in the ABS class for linear systems
inferredcites →https://doi.org/10.1090/s0025-5718-1976-0431641-8openalex-snapshot
Reorthogonalization and stable algorithms for updating the Gram-Schmidt 𝑄𝑅 factorization
inferredcites →https://doi.org/10.1090/s0025-5718-60-99239-5openalex-snapshot
Mathematics of Computation
inferredcites →https://doi.org/10.1137/1.9781611971217openalex-snapshot
Solving Least Squares Problems
inferredcites →https://doi.org/10.2307/2005398openalex-snapshot
Reorthogonalization and Stable Algorithms for Updating the Gram-Schmidt QR Factorization
inferredcites →https://doi.org/10.2307/2286501openalex-snapshot
Solving Least Squares Problems.
inferredcites →https://doi.org/10.3931/e-rara-2857openalex-snapshot
Theoria combinationis observationum erroribus minimis obnoxiae
inferredcites →https://doi.org/10.56021/9781421407944openalex-snapshot
Matrix Computations
inferredcites →https://doi.org/10.5860/choice.27-4538openalex-snapshot
ABS projection algorithms: mathematical techniques for linear and nonlinear equations
inferredcites →https://doi.org/10.6028/nbs.tn.1126openalex-snapshot
Problems used in testing the efficiency and accuracy of the modified Gram-Schmidt least squares algorithm

What points at this work

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

inferred← citeshttps://doi.org/10.1007/0-306-48332-7_2openalex-snapshot
ABS Algorithms for Linear Equations and Linear Least Squares
inferred← citeshttps://doi.org/10.1007/978-0-387-74759-0_1openalex-snapshot
ABS Algorithms for Linear Equations and Linear Least Squares
inferred← citeshttps://doi.org/10.1007/978-1-4899-0289-4_24openalex-snapshot
ABS Methods for KT Equations
inferred← citeshttps://doi.org/10.1007/978-94-009-0369-2_11openalex-snapshot
ABS Methods for Nonlinear Optimization
inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00419-2openalex-snapshot
ABS algorithms for linear equations and optimization
inferred← citeshttps://doi.org/10.1080/10556780108805830openalex-snapshot
Computational experiments with ABS algorithms for KKT linear systems
inferred← citeshttps://doi.org/10.1080/10556789708805674openalex-snapshot
A bibliography of the ABS methods
inferred← citeshttps://doi.org/10.4236/am.2013.46126openalex-snapshot
An Application of the ABS Algorithm for Modeling Multiple Regression on Massive Data, Predicting the Most Influencing Factors
inferred← citeshttps://doi.org/10.48550/arxiv.math/0105056openalex-snapshot
ABS Algorithms for Linear Systems and Optimization
inferred← citeshttps://doi.org/10.48550/arxiv.math/0105075openalex-snapshot
Computational Experiments with Abs Algorithms for Overdetermined Linear Systems
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