On the public citation graph

An analysis of the composite step biconjugate gradient method

https://doi.org/10.1007/bf01385699
0 signed · 75 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 See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.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/bf01385618openalex-snapshot
Some upwinding techniques for finite element approximations of convection-diffusion equations
inferredcites →https://doi.org/10.1007/bf01385726openalex-snapshot
QMR: a quasi-minimal residual method for non-Hermitian linear systems
inferredcites →https://doi.org/10.1007/bf01385846openalex-snapshot
A breakdown-free Lanczos type algorithm for solving linear systems
inferredcites →https://doi.org/10.1007/bf01389971openalex-snapshot
The Tchebychev iteration for nonsymmetric linear systems
inferredcites →https://doi.org/10.1007/bf02141258openalex-snapshot
A composite step bi-conjugate gradient algorithm for nonsymmetric linear systems
inferredcites →https://doi.org/10.1007/bfb0080116openalex-snapshot
Conjugate gradient methods for indefinite systems
inferredcites →https://doi.org/10.1016/0168-9274(93)90087-8openalex-snapshot
Lanczos-type algorithms for solving systems of linear equations
inferredcites →https://doi.org/10.1016/b978-0-12-141050-6.50023-4openalex-snapshot
A GENERALIZED CONJUGATE GRADIENT METHOD FOR THE NUMERICAL SOLUTION OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS
inferredcites →https://doi.org/10.1016/c2013-0-10319-4openalex-snapshot
The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations
inferredcites →https://doi.org/10.1017/s0962492900002245openalex-snapshot
Iterative solution of linear systems
inferredcites →https://doi.org/10.1090/s0025-5718-1985-0771034-2openalex-snapshot
A look-ahead Lánczos algorithm for unsymmetric matrices
inferredcites →https://doi.org/10.1137/0613036openalex-snapshot
Reduction to Tridiagonal Form and Minimal Realizations
inferredcites →https://doi.org/10.1137/0613037openalex-snapshot
A Completed Theory of the Unsymmetric Lanczos Process and Related Algorithms, Part I
inferredcites →https://doi.org/10.1137/0613056openalex-snapshot
Lanczos Methods for the Solution of Nonsymmetric Systems of Linear Equations
inferredcites →https://doi.org/10.1137/0711043openalex-snapshot
Partial Pivoting Strategies for Symmetric Matrices
inferredcites →https://doi.org/10.1137/0712047openalex-snapshot
Solution of Sparse Indefinite Systems of Linear Equations
inferredcites →https://doi.org/10.1137/0719031openalex-snapshot
The Lanczos Biorthogonalization Algorithm and Other Oblique Projection Methods for Solving Large Unsymmetric Systems
inferredcites →https://doi.org/10.1137/0910004openalex-snapshot
CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
inferredcites →https://doi.org/10.1137/0913035openalex-snapshot
Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/0914009openalex-snapshot
An Implementation of the Look-Ahead Lanczos Algorithm for Non-Hermitian Matrices
inferredcites →https://doi.org/10.1137/s0895479890188803openalex-snapshot
A Completed Theory of the Unsymmetric Lanczos Process and Related Algorithms. Part II
inferredcites →https://doi.org/10.2307/2003558openalex-snapshot
The Algebraic Eigenvalue Problem
inferredcites →https://doi.org/10.2307/2007640openalex-snapshot
Computer Solution of Large Sparse Positive Definite Systems.
inferredcites →https://doi.org/10.2307/2153503openalex-snapshot
PLTMG: A Software Package for Solving Elliptic Partial Differential Equations, Users' Guide 7.0.

What points at this work

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

inferred← citeshttps://doi.org/10.1002/(sici)1099-1506(199907/08)6:5<329::aid-nla167>3.0.co;2-aopenalex-snapshot
On the convergence of basic iterative methods for convection-diffusion equations
inferred← citeshttps://doi.org/10.1002/nla.1945openalex-snapshot
Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration
inferred← citeshttps://doi.org/10.1002/nla.499openalex-snapshot
Recent computational developments in Krylov subspace methods for linear systems
inferred← citeshttps://doi.org/10.1006/jcph.1998.5862openalex-snapshot
Comparison of Different Krylov Subspace Methods Embedded in an Implicit Finite Volume Scheme for the Computation of Viscous and Inviscid Flow Fields on Unstructured Grids
inferred← citeshttps://doi.org/10.1007/978-1-4613-0261-2_8openalex-snapshot
Systems of Linear Algebraic Equations
inferred← citeshttps://doi.org/10.1007/978-3-0348-8685-7_2openalex-snapshot
Transpose-Free Look-Ahead Algorithms for Lanczos’ Method
inferred← citeshttps://doi.org/10.1007/978-94-011-5412-3_4openalex-snapshot
Linear System Solvers: Sparse Iterative Methods
inferred← citeshttps://doi.org/10.1007/bf01737161openalex-snapshot
Look-ahead in Bi-CGSTAB and other product methods for linear systems
inferred← citeshttps://doi.org/10.1007/bf02140769openalex-snapshot
Maintaining convergence properties of BiCGstab methods in finite precision arithmetic
inferred← citeshttps://doi.org/10.1007/bf02141258openalex-snapshot
A composite step bi-conjugate gradient algorithm for nonsymmetric linear systems
inferred← citeshttps://doi.org/10.1007/bf02141260openalex-snapshot
Treatment of near-breakdown in the CGS algorithm
inferred← citeshttps://doi.org/10.1007/bf02238540openalex-snapshot
A minimal residual class of algorithms for linear systems
inferred← citeshttps://doi.org/10.1007/bfb0037406openalex-snapshot
Iterative methods for unsymmetric linear systems
inferred← citeshttps://doi.org/10.1007/s00791-017-0280-zopenalex-snapshot
A two level solver for $$h{-}p$$ h - p adaptive finite element equations
inferred← citeshttps://doi.org/10.1007/s10440-024-00689-4openalex-snapshot
Asymptotic Study of a Singular Time-Dependent Brinkman Flow with Application
inferred← citeshttps://doi.org/10.1007/s10825-006-0005-xopenalex-snapshot
The 3D nanometer device project nextnano: Concepts, methods, results
inferred← citeshttps://doi.org/10.1007/s11075-015-9978-5openalex-snapshot
A new quasi-minimal residual method based on a biconjugate A-orthonormalization procedure and coupled two-term recurrences
inferred← citeshttps://doi.org/10.1007/s11432-015-1016-xopenalex-snapshot
Fast FOCUSS method based on bi-conjugate gradient and its application to space-time clutter spectrum estimation
inferred← citeshttps://doi.org/10.1016/0168-9274(95)00085-2openalex-snapshot
An overview of approaches for the stable computation of hybrid BiCG methods
inferred← citeshttps://doi.org/10.1016/0377-0427(94)00104-4openalex-snapshot
Conjugate gradient methods for continuation problems II
inferred← citeshttps://doi.org/10.1016/b978-0-444-50617-7.50009-4openalex-snapshot
Iterative solution of linear systems in the 20th century
inferred← citeshttps://doi.org/10.1016/j.advengsoft.2006.08.006openalex-snapshot
Compatible coarsening in the multigraph algorithm
inferred← citeshttps://doi.org/10.1016/j.amc.2017.01.002openalex-snapshot
A new iterative method for solving complex symmetric linear systems
inferred← citeshttps://doi.org/10.1016/j.amc.2021.126403openalex-snapshot
Developing iterative algorithms to solve Sylvester tensor equations
inferred← citeshttps://doi.org/10.1016/j.jcp.2015.03.013openalex-snapshot
A transpose-free quasi-minimal residual variant of the CORS method for solving non-Hermitian linear systems
inferred← citeshttps://doi.org/10.1016/s0168-2024(99)80012-5openalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00412-xopenalex-snapshot
Iterative solution of linear systems in the 20th century
inferred← citeshttps://doi.org/10.1016/s0377-0427(01)00412-5openalex-snapshot
A review of formal orthogonality in Lanczos-based methods
inferred← citeshttps://doi.org/10.1016/s0898-1221(96)00217-9openalex-snapshot
Breakdowns in the implementation of the Lánczos method for solving linear systems
inferred← citeshttps://doi.org/10.1016/s1570-8659(04)13008-1openalex-snapshot
Solution of Linear Systems
inferred← citeshttps://doi.org/10.1017/s0962492900002737openalex-snapshot
Lanczos-type solvers for nonsymmetric linear systems of equations
inferred← citeshttps://doi.org/10.1080/10556788.2023.2189716openalex-snapshot
Properties of semi-conjugate gradient methods for solving unsymmetric positive definite linear systems
inferred← citeshttps://doi.org/10.1090/s0025-5718-99-01171-0openalex-snapshot
Analysis of the finite precision bi-conjugate gradient algorithm for nonsymmetric linear systems
inferred← citeshttps://doi.org/10.1109/cem.2011.6047335openalex-snapshot
Investigating the composite step biconjugate A-orthogonal residual method for non-hermitian linear systems in electromagnetics
inferred← citeshttps://doi.org/10.1109/jsen.2019.2928643openalex-snapshot
AFODSS: Heart Rate Estimation Method From Photoplethysmographic Signals With Motion Artifacts Using Fourier-Sparse Dual Optimization
inferred← citeshttps://doi.org/10.1137/1.9780898718003openalex-snapshot
Iterative Methods for Sparse Linear Systems
inferred← citeshttps://doi.org/10.1137/100801500openalex-snapshot
Recycling BiCG with an Application to Model Reduction
inferred← citeshttps://doi.org/10.1137/140972433openalex-snapshot
Recycling BiCGSTAB with an Application to Parametric Model Order Reduction
inferred← citeshttps://doi.org/10.1137/24m1661236openalex-snapshot
Reduced Krylov Basis Methods for Parametric Partial Differential Equations
inferred← citeshttps://doi.org/10.1137/s0895479802403459openalex-snapshot
Inexact Krylov Subspace Methods for Linear Systems
inferred← citeshttps://doi.org/10.1137/s0895479894264673openalex-snapshot
A Stabilized QMR Version of Block BiCG
inferred← citeshttps://doi.org/10.1137/s1064827500381045openalex-snapshot
An Algebraic Multilevel Multigraph Algorithm
inferred← citeshttps://doi.org/10.1137/s1064827594269202openalex-snapshot
Composite Step Product Methods for Solving Nonsymmetric Linear Systems
inferred← citeshttps://doi.org/10.1137/s1064827595290450openalex-snapshot
Error Analysis of Krylov Methods In a Nutshell
inferred← citeshttps://doi.org/10.1137/s1064827599353865openalex-snapshot
Residual Replacement Strategies for Krylov Subspace Iterative Methods for the Convergence of True Residuals
inferred← citeshttps://doi.org/10.1155/2013/408167openalex-snapshot
Exploiting the Composite Step Strategy to the Biconjugate A -Orthogonal Residual Method for Non-Hermitian Linear Systems
inferred← citeshttps://doi.org/10.1155/2015/372109openalex-snapshot
Deflated BiCG with an Application to Model Reduction
inferred← citeshttps://doi.org/10.3390/sym16091167openalex-snapshot
The BiCG Algorithm for Solving the Minimal Frobenius Norm Solution of Generalized Sylvester Tensor Equation over the Quaternions
inferred← citeshttps://doi.org/10.4064/am-26-4-477-488openalex-snapshot
A unified approach to some strategies for the treatment of breakdown in Lanczos-type algorithms
inferred← citeshttps://doi.org/10.4208/jcm.1401-cr13openalex-snapshot
Generalized Conjugate A-Orthogonal Residual Squared Method for Complex Non-Hermitian Linear Systems
inferred← citeshttps://doi.org/10.48550/arxiv.1010.0762openalex-snapshot
Recycling BiCG with an Application to Model Reduction
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.