On the public citation graph

Stability of the solutions of linear least squares problems

https://doi.org/10.1007/bf01400307
0 signed · 42 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.
Claim with ORCID
Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

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

inferredcites →https://doi.org/10.1007/978-3-662-06862-5openalex-snapshot
Einführung in die Numerische Mathematik I
inferredcites →https://doi.org/10.1007/978-3-662-06865-6openalex-snapshot
Einführung in die Numerische Mathematik I
inferredcites →https://doi.org/10.1007/bf01436075openalex-snapshot
Numerical methods for solving 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/bf02166032openalex-snapshot
Note on the iterative refinement of least squares solution
inferredcites →https://doi.org/10.1090/s0025-5718-1969-0258258-9openalex-snapshot
Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems
inferredcites →https://doi.org/10.2307/2003558openalex-snapshot
The Algebraic Eigenvalue Problem

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.1839openalex-snapshot
Gram‐Schmidt orthogonalization: 100 years and more
inferred← citeshttps://doi.org/10.1007/978-0-8176-4968-5_14openalex-snapshot
Papers on Least Squares, Projections, and Generalized Inverses
inferred← citeshttps://doi.org/10.1007/978-3-319-05089-8_2openalex-snapshot
Linear Least Squares Problems
inferred← citeshttps://doi.org/10.1007/978-3-322-96645-2_1openalex-snapshot
Über die Lösung Linearer Gleichungssysteme
inferred← citeshttps://doi.org/10.1007/978-3-7908-2121-5_23openalex-snapshot
Testing Numerical Methods Solving the Linear Least Squares Problem
inferred← citeshttps://doi.org/10.1007/978-94-007-0602-6openalex-snapshot
Numerical Linear Algebra in Signals, Systems and Control
inferred← citeshttps://doi.org/10.1007/bf01086544openalex-snapshot
Computational methods of linear algebra
inferred← citeshttps://doi.org/10.1007/bf01394453openalex-snapshot
Towards a formal definition of numerical stability
inferred← citeshttps://doi.org/10.1007/bf01399313openalex-snapshot
A contribution to the theory of condition
inferred← citeshttps://doi.org/10.1007/bf02042943openalex-snapshot
Fehleranalyse für die Gauß-Elimination zur Berechnung der Lösung minimaler Länge
inferred← citeshttps://doi.org/10.1007/bf02238196openalex-snapshot
Report on test matrices for generalized inverses
inferred← citeshttps://doi.org/10.1007/bfb0006290openalex-snapshot
An efficient implementation of square root filtering : Error analysis, complexity and simulation on flight-path reconstruction
inferred← citeshttps://doi.org/10.1007/s11075-014-9859-3openalex-snapshot
Rescaling the GSVD with application to ill-posed problems
inferred← citeshttps://doi.org/10.1016/0005-1098(89)90013-7openalex-snapshot
Round-off error propagation in four generally-applicable, recursive, least-squares estimation schemes
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.compstruc.2017.05.010openalex-snapshot
Improving the accuracy of the dual Craig-Bampton method
inferred← citeshttps://doi.org/10.1016/s0003-2670(00)83626-0openalex-snapshot
Deconvolution of multicomponent ultraviolet/visible spectra
inferred← citeshttps://doi.org/10.1016/s1474-6670(17)60669-4openalex-snapshot
A Robust and Efficient Least Squares Estimation Algorithm
inferred← citeshttps://doi.org/10.1016/s1570-8659(05)80036-5openalex-snapshot
Least squares methods
inferred← citeshttps://doi.org/10.1090/s0025-5718-1979-0514817-3openalex-snapshot
Computer Solution and Perturbation Analysis of Generalized Linear Least Squares Problems
inferred← citeshttps://doi.org/10.1093/gji/ggv440openalex-snapshot
The impact of approximations and arbitrary choices on geophysical images
inferred← citeshttps://doi.org/10.1109/tac.1986.1104128openalex-snapshot
Numerical aspects of different Kalman filter implementations
inferred← citeshttps://doi.org/10.1109/tpas.1981.316920openalex-snapshot
A Robust Numerical Technique for Power System State Estimation
inferred← citeshttps://doi.org/10.1109/tpas.1982.317159openalex-snapshot
A Fast and Reliable State Estimation Algorithm for AEP's New Control Center
inferred← citeshttps://doi.org/10.1137/040616991openalex-snapshot
Core Problems in Linear Algebraic Systems
inferred← citeshttps://doi.org/10.1137/050630416openalex-snapshot
Modified Gram-Schmidt (MGS), Least Squares, and Backward Stability of MGS-GMRES
inferred← citeshttps://doi.org/10.1137/100813348openalex-snapshot
The Total Least Squares Problem in AX≈B: A New Classification with the Relationship to the Classical Works
inferred← citeshttps://doi.org/10.1137/1019104openalex-snapshot
On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
inferred← citeshttps://doi.org/10.1137/120884237openalex-snapshot
The Core Problem within a Linear Approximation Problem $AX\approx B$ with Multiple Right-Hand Sides
inferred← citeshttps://doi.org/10.1137/21m1462155openalex-snapshot
Krylov Subspace Approach to Core Problems within Multilinear Approximation Problems: A Unifying Framework
inferred← citeshttps://doi.org/10.1137/s0895479801388194openalex-snapshot
Variants of the Greville Formula with Applications to Exact Recursive Least Squares
inferred← citeshttps://doi.org/10.22331/q-2024-07-11-1407openalex-snapshot
Simulation-assisted learning of open quantum systems
inferred← citeshttps://doi.org/10.23919/acc.1986.4788977openalex-snapshot
A Theoretical Analysis of the Round-Off Propagation in Different Kalman Filter Implementations
inferred← citeshttps://doi.org/10.2514/1.j055666openalex-snapshot
Considering the Higher-Order Effect of Residual Modes in the Craig–Bampton Method
inferred← citeshttps://doi.org/10.6100/ir107437openalex-snapshot
Numerical aspects of realization algorithms in linear systems theory
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.