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A direct method for the general solution of a system of linear equations

https://doi.org/10.1007/bf00933852
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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/bf01436075openalex-snapshot
Numerical methods for solving linear least squares problems
inferredcites →https://doi.org/10.1017/s0305004100030401openalex-snapshot
A generalized inverse for matrices
inferredcites →https://doi.org/10.1093/comjnl/10.4.411openalex-snapshot
A computational method for evaluating generalized inverses
inferredcites →https://doi.org/10.1093/comjnl/13.3.309openalex-snapshot
The least squares problem and pseudo-inverses
inferredcites →https://doi.org/10.1137/0111051openalex-snapshot
Contributions to the Theory of Generalized Inverses
inferredcites →https://doi.org/10.1137/0703049openalex-snapshot
A Method for Computing the Generalized Inverse of a Matrix
inferredcites →https://doi.org/10.1145/320941.320947openalex-snapshot
Unitary Triangularization of a Nonsymmetric Matrix
inferredcites →https://doi.org/10.1145/321186.321197openalex-snapshot
An Elimination Method for Computing the Generalized Inverse of an Arbitrary Complex Matrix
inferredcites →https://doi.org/10.1145/355592.365659openalex-snapshot
A simple algorithm for computing the generalized inverse of a matrix
inferredcites →https://doi.org/10.2307/2005148openalex-snapshot
A Collection of Matrices for Testing Computational Algorithms

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-3-642-76717-3_4openalex-snapshot
Abs Algorithms for General Linear Systems
inferred← citeshttps://doi.org/10.1007/978-94-009-0369-2_11openalex-snapshot
ABS Methods for Nonlinear Optimization
inferred← citeshttps://doi.org/10.1007/bf00050789openalex-snapshot
A class of scaled direct methods for linear systems
inferred← citeshttps://doi.org/10.1007/bf00933853openalex-snapshot
A class of quadratically convergent algorithms for constrained function minimization
inferred← citeshttps://doi.org/10.1007/bf00939740openalex-snapshot
Optimally conditioned scaled ABS algorithms for linear systems
inferred← citeshttps://doi.org/10.1007/bf00940062openalex-snapshot
On solving sparse band systems with three algorithms of the ABS family
inferred← citeshttps://doi.org/10.1007/bf00942188openalex-snapshot
On the numerical stability of Huang's and related methods
inferred← citeshttps://doi.org/10.1007/bf01391414openalex-snapshot
A class of direct methods for linear systems
inferred← citeshttps://doi.org/10.1007/bf01581261openalex-snapshot
Solution of linear least squares via the ABS algorithm
inferred← citeshttps://doi.org/10.1007/bf01812978openalex-snapshot
Factorization of matrices over division rings and rings
inferred← citeshttps://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
inferred← citeshttps://doi.org/10.1007/bf02575734openalex-snapshot
On the numerical stability of Huang's update
inferred← citeshttps://doi.org/10.1007/bf02576535openalex-snapshot
Metodi diretti per la risoluzione di sistemi lineari
inferred← citeshttps://doi.org/10.1007/bf02679108openalex-snapshot
Variationally derived algorithms in the ABS class for linear systems
inferred← citeshttps://doi.org/10.1007/s10100-009-0128-9openalex-snapshot
ABS methods for continuous and integer linear equations and optimization
inferred← citeshttps://doi.org/10.1016/0024-3795(86)90141-2openalex-snapshot
Error analysis of algorithms for computing the projection of a point onto a linear manifold
inferred← citeshttps://doi.org/10.1016/0024-3795(90)90241-4openalex-snapshot
On the error estimate for the projection of a point onto a linear manifold
inferred← citeshttps://doi.org/10.1016/b978-0-12-514250-2.50018-4openalex-snapshot
Annotated Bibliography on Generalized Inverses and Applications
inferred← citeshttps://doi.org/10.1016/j.amc.2006.06.105openalex-snapshot
Extended reduced rank two Abaffian update schemes in the ABS-type methods
inferred← citeshttps://doi.org/10.1016/j.laa.2013.09.001openalex-snapshot
Extended rank reduction formulas containing Wedderburn and Abaffy–Broyden–Spedicato rank reducing processes
inferred← citeshttps://doi.org/10.1016/s0024-3795(97)00064-5openalex-snapshot
New interpretation of related Huang's methods
inferred← citeshttps://doi.org/10.1016/s0024-3795(99)00056-7openalex-snapshot
Matrix recursive interpolation algorithm for block linear systems
inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00419-2openalex-snapshot
ABS algorithms for linear equations and optimization
inferred← citeshttps://doi.org/10.1016/s0377-0427(96)00066-0openalex-snapshot
Recursive interpolation algorithm: a formalism for solving systems of linear equations—I. Direct methods
inferred← citeshttps://doi.org/10.1023/a:1012971509934openalex-snapshot
Symmetric and Non-Symmetric ABS Methods for Solving Diophantine Systems of Equations
inferred← citeshttps://doi.org/10.1080/00207168908803758openalex-snapshot
On the abs algorithms for perturbed linear systems∗
inferred← citeshttps://doi.org/10.1080/00207169408804336openalex-snapshot
On systolic general system solution for optimal artificial neural network training
inferred← citeshttps://doi.org/10.1080/02331938708843232openalex-snapshot
Numerical experiments with the symmetric algorithm in the ABS class for linear systems
inferred← citeshttps://doi.org/10.1080/10556780108805830openalex-snapshot
Computational experiments with ABS algorithms for KKT linear systems
inferred← citeshttps://doi.org/10.1080/10556789208805516openalex-snapshot
A review of ABS algorithms for general linear systems
inferred← citeshttps://doi.org/10.1080/10556789208805518openalex-snapshot
Variationally derived ABS methods
inferred← citeshttps://doi.org/10.1080/10556789308805548openalex-snapshot
Explicit general solution of the Quasi-Newton equation with sparsity and symmetry
inferred← citeshttps://doi.org/10.1080/10556789708805672openalex-snapshot
On the ABS algorithm with singular initial matrix and its application to linear programming
inferred← citeshttps://doi.org/10.1080/10556789708805674openalex-snapshot
A bibliography of the ABS methods
inferred← citeshttps://doi.org/10.1080/10637199408962537openalex-snapshot
ON SYSTOLIC GENERAL SYSTEM SOLUTION AND GENERAL MATRIX INVERSION
inferred← citeshttps://doi.org/10.1088/0954-898x/1/2/006openalex-snapshot
Neural implementation of a method for solving systems of linear equations
inferred← citeshttps://doi.org/10.1093/imanum/15.3.307openalex-snapshot
Some properties of the recursive projection and interpolation algorithms
inferred← citeshttps://doi.org/10.1137/0613015openalex-snapshot
Loss and Recapture of Orthogonality in the Modified Gram–Schmidt Algorithm
inferred← citeshttps://doi.org/10.1137/1033062openalex-snapshot
ABS Projection Algorithms: Mathematical Techniques for Linear and Nonlinear Equations (Jozsef Abaffy and Emilio Spedicato)
inferred← citeshttps://doi.org/10.1137/1037124openalex-snapshot
A Rank–One Reduction Formula and Its Applications to Matrix Factorizations
inferred← citeshttps://doi.org/10.3934/math.2025579openalex-snapshot
The orthogonal reflection method for the numerical solution of linear systems
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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