On the public citation graph
A new investigation of the extended Krylov subspace method for matrix function evaluations
0 signed · 144 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.
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known work and none has been retracted — and get a dated CiteStamped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.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/(sici)1099-1506(200001/02)7:1<27::aid-nla185>3.0.co;2-4openalex-snapshot
Efficient computation of the exponential operator for large, sparse, symmetric matrices
inferredcites →https://doi.org/10.1002/nla.1680020303openalex-snapshot
Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic
inferredcites →https://doi.org/10.1002/nla.625openalex-snapshot
Rational Lanczos approximations to the matrix square root and related functions
inferredcites →https://doi.org/10.1007/978-1-4613-8498-4openalex-snapshot
Numerical Range: The Field of Values of Linear Operators and Matrices
inferredcites →https://doi.org/10.1007/978-3-642-58360-5_22openalex-snapshot
Numerical Integrators for Quantum-Classical Molecular Dynamics
inferredcites →https://doi.org/10.1007/bf01060992openalex-snapshot
A method for exponential propagation of large systems of stiff nonlinear differential equations
inferredcites →https://doi.org/10.1007/s10543-006-0077-9openalex-snapshot
Talbot quadratures and rational approximations
inferredcites →https://doi.org/10.1016/0167-8191(89)90014-8openalex-snapshot
A parallel block cyclic reduction algorithm for the fast solution of elliptic equations
inferredcites →https://doi.org/10.1016/j.apnum.2004.08.005openalex-snapshot
Exponential Runge–Kutta methods for parabolic problems
inferredcites →https://doi.org/10.1016/j.crma.2005.04.027openalex-snapshot
Image numérique, GMRES et polynômes de Faber
inferredcites →https://doi.org/10.1016/j.jfa.2006.10.013openalex-snapshot
Numerical range and functional calculus in Hilbert space
inferredcites →https://doi.org/10.1016/j.laa.2008.04.046openalex-snapshot
On monotonicity of the Lanczos approximation to the matrix exponential
inferredcites →https://doi.org/10.1016/s0010-4655(02)00455-1openalex-snapshot
Numerical methods for the QCDd overlap operator. I. Sign-function and error bounds
inferredcites →https://doi.org/10.1016/s0010-4655(99)00225-8openalex-snapshot
Magnus-factorized method for numerical solving the time-dependent Schrödinger equation
inferredcites →https://doi.org/10.1016/s0021-9991(03)00227-4openalex-snapshot
Computational methods for UV-suppressed fermions
inferredcites →https://doi.org/10.1016/s0024-3795(03)00615-3openalex-snapshot
The polynomial numerical hulls of Jordan blocks and related matrices
inferredcites →https://doi.org/10.1016/s0041-5553(89)80020-5openalex-snapshot
Two polynomial methods of calculating functions of symmetric matrices
inferredcites →https://doi.org/10.1016/s0377-0427(00)00261-2openalex-snapshot
An interpolatory approximation of the matrix exponential based on Faber polynomials
inferredcites →https://doi.org/10.1016/s0920-4105(03)00108-6openalex-snapshot
An extended Krylov subspace method to simulate single-phase fluid flow phenomena in axisymmetric and anisotropic porous media
inferredcites →https://doi.org/10.1017/cbo9781107340756openalex-snapshot
Rational Approximation of Real Functions
inferredcites →https://doi.org/10.1023/a:1022335122807openalex-snapshot
Exponential Integrators for Quantum-Classical Molecular Dynamics
inferredcites →https://doi.org/10.1023/b:bitn.0000046805.27551.3bopenalex-snapshot
RD-Rational Approximations of the Matrix Exponential
inferredcites →https://doi.org/10.1029/94rs00747openalex-snapshot
Spectral approach to solving three‐dimensional Maxwell's diffusion equations in the time and frequency domains
inferredcites →https://doi.org/10.1093/imanum/drp003openalex-snapshot
A restarted Lanczos approximation to functions of a symmetric matrix
inferredcites →https://doi.org/10.1103/physrevlett.51.2238openalex-snapshot
New Approach to Many-State Quantum Dynamics: The Recursive-Residue-Generation Method
inferredcites →https://doi.org/10.1137/040605461openalex-snapshot
Preconditioning Lanczos Approximations to the Matrix Exponential
inferredcites →https://doi.org/10.1137/05062590openalex-snapshot
Analysis of Projection Methods for Rational Function Approximation to the Matrix Exponential
inferredcites →https://doi.org/10.1137/050633846openalex-snapshot
A Restarted Krylov Subspace Method for the Evaluation of Matrix Functions
inferredcites →https://doi.org/10.1137/06066120xopenalex-snapshot
A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations
inferredcites →https://doi.org/10.1137/060672856openalex-snapshot
Acceleration Techniques for Approximating the Matrix Exponential Operator
inferredcites →https://doi.org/10.1137/070684598openalex-snapshot
Stopping Criteria for Rational Matrix Functions of Hermitian and Symmetric Matrices
inferredcites →https://doi.org/10.1137/070685804openalex-snapshot
IDR( s ): A Family of Simple and Fast Algorithms for Solving Large Nonsymmetric Systems of Linear Equations
inferredcites →https://doi.org/10.1137/070688924openalex-snapshot
Error Estimates for Polynomial Krylov Approximations to Matrix Functions
inferredcites →https://doi.org/10.1137/0726001openalex-snapshot
Spectral Methods in Time for Parabolic Problems
inferredcites →https://doi.org/10.1137/0729014openalex-snapshot
Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
inferredcites →https://doi.org/10.1137/080741744openalex-snapshot
Error Estimates and Evaluation of Matrix Functions via the Faber Transform
inferredcites →https://doi.org/10.1137/0913071openalex-snapshot
Efficient Solution of Parabolic Equations by Krylov Approximation Methods
inferredcites →https://doi.org/10.1137/s0895479895292400openalex-snapshot
Extended Krylov Subspaces: Approximation of the Matrix Square Root and Related Functions
inferredcites →https://doi.org/10.1137/s1064827502406415openalex-snapshot
Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing
inferredcites →https://doi.org/10.1137/s1064827595295337openalex-snapshot
Exponential Integrators for Large Systems of Differential Equations
inferredcites →https://doi.org/10.1137/s1064827596303661openalex-snapshot
Using Nonorthogonal Lanczos Vectors in the Computation of Matrix Functions
inferredcites →https://doi.org/10.1145/229473.229475openalex-snapshot
Algorithm 756: a MATLAB toolbox for Schwarz-Christoffel mapping
inferredcites →https://doi.org/10.1190/1.1444579openalex-snapshot
New spectral Lanczos decomposition method for induction modeling in arbitrary 3-D geometry
inferredcites →https://doi.org/10.1201/chanmespfunopenalex-snapshot
Analytical Methods and Special Functions
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.2139/ssrn.4796546openalex-extracted
Krylov-Based Adaptive-Rank Implicit Time Integrators for Stiff Problems with Application to Nonlinear Fokker-Planck Kinetic Models
inferred← citeshttps://doi.org/10.1002/gamm.201310002openalex-snapshot
Rational Krylov approximation of matrix functions: Numerical methods and optimal pole selection
inferred← citeshttps://doi.org/10.1002/gamm.202000013openalex-snapshot
A literature survey of matrix methods for data science
inferred← citeshttps://doi.org/10.1002/nla.2065openalex-snapshot
A rational Arnoldi process with applications
inferred← citeshttps://doi.org/10.1002/nla.2176openalex-snapshot
Krylov methods for low‐rank commuting generalized Sylvester equations
inferred← citeshttps://doi.org/10.1002/nla.2401openalex-snapshot
Computing low‐rank approximations of the Fréchet derivative of a matrix function using Krylov subspace methods
inferred← citeshttps://doi.org/10.1002/nla.625openalex-snapshot
Rational Lanczos approximations to the matrix square root and related functions
inferred← citeshttps://doi.org/10.1002/nla.70052openalex-snapshot
An Extended Krylov Subspace Method for Decoding Edge‐Based Compressed Images by Homogeneous Diffusion
inferred← citeshttps://doi.org/10.1002/num.23006openalex-snapshot
Numerical solutions of the time‐dependent Schrödinger equation with position‐dependent effective mass
inferred← citeshttps://doi.org/10.1002/pamm.201110006openalex-snapshot
Using the RD rational Arnoldi method inside exponential integrators
inferred← citeshttps://doi.org/10.1007/s00211-011-0366-3openalex-snapshot
Convergence analysis of the extended Krylov subspace method for the Lyapunov equation
inferred← citeshttps://doi.org/10.1007/s00211-011-0434-8openalex-snapshot
Superlinear convergence of the rational Arnoldi method for the approximation of matrix functions
inferred← citeshttps://doi.org/10.1007/s00211-012-0502-8openalex-snapshot
Recurrence relations for orthogonal rational functions
inferred← citeshttps://doi.org/10.1007/s00211-014-0692-3openalex-snapshot
Short recurrences for computing extended Krylov bases for Hermitian and unitary matrices
inferred← citeshttps://doi.org/10.1007/s00211-016-0799-9openalex-snapshot
Approximation of functions of large matrices with Kronecker structure
inferred← citeshttps://doi.org/10.1007/s10444-015-9433-0openalex-snapshot
A framework of the harmonic Arnoldi method for evaluating φ-functions with applications to exponential integrators
inferred← citeshttps://doi.org/10.1007/s10543-011-0367-8openalex-snapshot
Resolvent Krylov subspace approximation to operator functions
inferred← citeshttps://doi.org/10.1007/s10543-013-0420-xopenalex-snapshot
A black-box rational Arnoldi variant for Cauchy–Stieltjes matrix functions
inferred← citeshttps://doi.org/10.1007/s10543-018-0742-9openalex-snapshot
Extended and rational Hessenberg methods for the evaluation of matrix functions
inferred← citeshttps://doi.org/10.1007/s10543-019-00763-6openalex-snapshot
Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices
inferred← citeshttps://doi.org/10.1007/s10915-022-01808-9openalex-snapshot
An Extended-Rational Arnoldi Method for Large Matrix Exponential Evaluations
inferred← citeshttps://doi.org/10.1007/s10915-026-03221-yopenalex-snapshot
A Reduced-irka Method for Large-Scale $$\mathcal {H}_2$$-Optimal Model Order Reduction
inferred← citeshttps://doi.org/10.1007/s11075-016-0161-4openalex-snapshot
Krylov iterative methods for the geometric mean of two matrices times a vector
inferred← citeshttps://doi.org/10.1007/s11075-016-0239-zopenalex-snapshot
A two-sided short-recurrence extended Krylov subspace method for nonsymmetric matrices and its relation to rational moment matching
inferred← citeshttps://doi.org/10.1007/s11075-018-00653-yopenalex-snapshot
Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces
inferred← citeshttps://doi.org/10.1007/s11075-020-00896-8openalex-snapshot
Extended nonsymmetric global Lanczos method for matrix function approximation
inferred← citeshttps://doi.org/10.1007/s11075-021-01101-0openalex-snapshot
Gauss–Laurent-type quadrature rules for the approximation of functionals of a nonsymmetric matrix
inferred← citeshttps://doi.org/10.1007/s11075-021-01190-xopenalex-snapshot
A study of defect-based error estimates for the Krylov approximation of $\varphi$-functions
inferred← citeshttps://doi.org/10.1007/s44146-024-00155-5openalex-snapshot
Computational aspects of the geometric mean of two matrices: a survey
inferred← citeshttps://doi.org/10.1016/j.apnum.2010.03.001openalex-snapshot
Extended Krylov subspace for parameter dependent systems
inferred← citeshttps://doi.org/10.1016/j.apnum.2013.04.004openalex-snapshot
Minimal residual methods for large scale Lyapunov equations
inferred← citeshttps://doi.org/10.1016/j.apnum.2016.10.015openalex-snapshot
Approximating the leading singular triplets of a large matrix function
inferred← citeshttps://doi.org/10.1016/j.cam.2012.07.020openalex-snapshot
Computation of matrix functions with deflated restarting
inferred← citeshttps://doi.org/10.1016/j.cam.2015.04.022openalex-snapshot
Krylov subspace exponential time domain solution of Maxwell’s equations in photonic crystal modeling
inferred← citeshttps://doi.org/10.1016/j.cam.2017.12.014openalex-snapshot
Exponential Krylov time integration for modeling multi-frequency optical response with monochromatic sources
inferred← citeshttps://doi.org/10.1016/j.camwa.2014.03.002openalex-snapshot
Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation
inferred← citeshttps://doi.org/10.1016/j.camwa.2016.05.031openalex-snapshot
Block Krylov subspace methods for approximating the linear combination of φ -functions arising in exponential integrators
inferred← citeshttps://doi.org/10.1016/j.cpc.2010.09.022openalex-snapshot
A nested Krylov subspace method to compute the sign function of large complex matrices
inferred← citeshttps://doi.org/10.1016/j.jcp.2019.07.009openalex-snapshot
Rational Krylov methods for functions of matrices with applications to fractional partial differential equations
inferred← citeshttps://doi.org/10.1016/j.jcp.2024.113332openalex-snapshot
Krylov-based adaptive-rank implicit time integrators for stiff problems with application to nonlinear Fokker-Planck kinetic models
inferred← citeshttps://doi.org/10.1016/j.laa.2009.03.006openalex-snapshot
The extended Krylov subspace method and orthogonal Laurent polynomials
inferred← citeshttps://doi.org/10.1016/j.laa.2010.08.042openalex-snapshot
Recursion relations for the extended Krylov subspace method
inferred← citeshttps://doi.org/10.1016/j.laa.2014.03.021openalex-snapshot
On the finite section method for computing exponentials of doubly-infinite skew-Hermitian matrices
inferred← citeshttps://doi.org/10.1016/j.laa.2016.06.041openalex-snapshot
Monotone convergence of the extended Krylov subspace method for Laplace–Stieltjes functions of Hermitian positive definite matrices
inferred← citeshttps://doi.org/10.1016/j.laa.2016.08.029openalex-snapshot
Convergence rates for inverse-free rational approximation of matrix functions
inferred← citeshttps://doi.org/10.1080/00207160.2018.1533123openalex-snapshot
Efficient approximation of functions of some large matrices by partial fraction expansions
inferred← citeshttps://doi.org/10.1090/mcom/3332openalex-snapshot
Krylov subspace methods for functions of fractional differential operators
inferred← citeshttps://doi.org/10.1109/aspdac.2014.6742900openalex-snapshot
Efficient matrix exponential method based on extended Krylov subspace for transient simulation of large-scale linear circuits
inferred← citeshttps://doi.org/10.1109/icassp49357.2023.10097242openalex-snapshot
On the Reduction of Large-Scale Room Acoustic Models
inferred← citeshttps://doi.org/10.1109/smacd.2019.8795231openalex-snapshot
Efficient Circuit Reduction in Limited Frequency Windows
inferred← citeshttps://doi.org/10.1109/tap.2025.3625204openalex-snapshot
3-D Time-Domain Modeling of Semi-Airborne TEM in Complex Media Using an Optimized Block Rational Krylov Method
inferred← citeshttps://doi.org/10.1109/therminic.2019.8923377openalex-snapshot
THANOS: Eliminating Redundant States in Transient Thermal Analysis
inferred← citeshttps://doi.org/10.1109/tvlsi.2020.2994534openalex-snapshot
Frequency-Limited Reduction of Regular and Singular Circuit Models Via Extended Krylov Subspace Method
inferred← citeshttps://doi.org/10.1137/080738374openalex-snapshot
On the Convergence of Krylov Subspace Methods for Matrix Mittag–Leffler Functions
inferred← citeshttps://doi.org/10.1137/080741744openalex-snapshot
Error Estimates and Evaluation of Matrix Functions via the Faber Transform
inferred← citeshttps://doi.org/10.1137/090756843openalex-snapshot
Krylov Subspace Methods for Linear Systems with Tensor Product Structure
inferred← citeshttps://doi.org/10.1137/090778250openalex-snapshot
Computing $f(A)b$ via Least Squares Polynomial Approximations
inferred← citeshttps://doi.org/10.1137/100814202openalex-snapshot
Using the Restricted-denominator Rational Arnoldi Method for Exponential Integrators
inferred← citeshttps://doi.org/10.1137/110820191openalex-snapshot
Residual, Restarting, and Richardson Iteration for the Matrix Exponential
inferred← citeshttps://doi.org/10.1137/110847007openalex-snapshot
An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
inferred← citeshttps://doi.org/10.1137/11085935xopenalex-snapshot
Error Bounds for the Lanczos Methods for Approximating Matrix Exponentials
inferred← citeshttps://doi.org/10.1137/12089226xopenalex-snapshot
Convergence Analysis of an Extended Krylov Subspace Method for the Approximation of Operator Functions in Exponential Integrators
inferred← citeshttps://doi.org/10.1137/130912839openalex-snapshot
Computational Methods for Linear Matrix Equations
inferred← citeshttps://doi.org/10.1137/13093491xopenalex-snapshot
Efficient and Stable Arnoldi Restarts for Matrix Functions Based on Quadrature
inferred← citeshttps://doi.org/10.1137/130945156openalex-snapshot
A Moment-Matching Arnoldi Iteration for Linear Combinations of $\varphi$ Functions
inferred← citeshttps://doi.org/10.1137/140964655openalex-snapshot
Uniform Approximation of $\varphi$-Functions in Exponential Integrators by a Rational Krylov Subspace Method with Simple Poles
inferred← citeshttps://doi.org/10.1137/140975218openalex-snapshot
Probabilistic Bounds for the Matrix Condition Number with Extended Lanczos Bidiagonalization
inferred← citeshttps://doi.org/10.1137/15m1030911openalex-snapshot
Frequency-Limited Balanced Truncation with Low-Rank Approximations
inferred← citeshttps://doi.org/10.1137/16m1073315openalex-snapshot
Computing the Weighted Geometric Mean of Two Large-Scale Matrices and Its Inverse Times a Vector
inferred← citeshttps://doi.org/10.1137/18m1191488openalex-snapshot
Multigrid Methods for Discrete Fractional Sobolev Spaces
inferred← citeshttps://doi.org/10.1137/18m1220960openalex-snapshot
A Numerical Comparison of Different Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations and LQR Problems
inferred← citeshttps://doi.org/10.1137/20m1351072openalex-snapshot
A Comparison of Limited-memory Krylov Methods for Stieltjes Functions of Hermitian Matrices
inferred← citeshttps://doi.org/10.1137/20m1362553openalex-snapshot
Low-Rank Updates of Matrix Functions II: Rational Krylov Methods
inferred← citeshttps://doi.org/10.1137/21m1403254openalex-snapshot
The Short-Term Rational Lanczos Method and Applications
inferred← citeshttps://doi.org/10.11948/2017085openalex-snapshot
APPROXIMATION OF THE LINEAR COMBINATION OF φ-FUNCTIONS USING THE BLOCK SHIFT-AND-INVERT KRYLOV SUBSPACE METHOD
inferred← citeshttps://doi.org/10.13001/ela.2022.6977openalex-snapshot
The Hamiltonian extended Krylov subspace method
inferred← citeshttps://doi.org/10.1553/etna_vol47s100openalex-snapshot
Block Krylov subspace methods for functions of matrices
inferred← citeshttps://doi.org/10.1553/etna_vol50s144openalex-snapshot
The extended global Lanczos method for matrix function approximation
inferred← citeshttps://doi.org/10.1553/etna_vol52s431openalex-snapshot
Analysis of Krylov subspace approximation to large-scale differential Riccati equations
inferred← citeshttps://doi.org/10.1553/etna_vol58s538openalex-snapshot
Inexact rational Krylov subspace methods for approximating the action of functions of matrices
inferred← citeshttps://doi.org/10.15622/sp.43.11openalex-snapshot
Software Implementation of a Singular Meter of the Pitch Frequency of a Speech Signal
inferred← citeshttps://doi.org/10.31274/td-20240329-554openalex-snapshot
Numerical solution for time-dependent schr\"{o}dinger equations with asymptotic green's function method
inferred← citeshttps://doi.org/10.3390/math11204341openalex-snapshot
A Flexible Extended Krylov Subspace Method for Approximating Markov Functions of Matrices
inferred← citeshttps://doi.org/10.3390/math9091008openalex-snapshot
Why Improving the Accuracy of Exponential Integrators Can Decrease Their Computational Cost?
inferred← citeshttps://doi.org/10.3842/sigma.2017.090openalex-snapshot
Orthogonal Rational Functions on the Unit Circle with Prescribed Poles not on the Unit Circle
inferred← citeshttps://doi.org/10.4208/eajam.240413.020614aopenalex-snapshot
An Efficient Algorithm to Construct an Orthonormal Basis for the Extended Krylov Subspace
inferred← citeshttps://doi.org/10.48550/arxiv.1108.1485openalex-snapshot
Using the RD rational Arnoldi method for exponential integrators
inferred← citeshttps://doi.org/10.48550/arxiv.1112.5670openalex-snapshot
Residual, restarting and Richardson iteration for the matrix exponential, revised
inferred← citeshttps://doi.org/10.48550/arxiv.1503.02615openalex-snapshot
Approximation of functions of large matrices with Kronecker structure
inferred← citeshttps://doi.org/10.48550/arxiv.1505.03453openalex-snapshot
Approximating leading singular triplets of a matrix function
inferred← citeshttps://doi.org/10.48550/arxiv.1701.00757openalex-snapshot
Clustering Signed Networks with the Geometric Mean of Laplacians
inferred← citeshttps://doi.org/10.48550/arxiv.1909.13059openalex-snapshot
Practical shift choice in the shift-and-invert Krylov subspace evaluations of the matrix exponential
inferred← citeshttps://doi.org/10.48550/arxiv.2109.13607openalex-snapshot
An extended Krylov subspace method for decoding edge-based compressed images by homogeneous diffusion
inferred← citeshttps://doi.org/10.5283/epub.28281openalex-snapshot
Computational methods for Quantum Chromodynamics
inferred← citeshttps://doi.org/10.5353/th_b5194742openalex-snapshot
Efficient circuit simulation via adaptive moment matching and matrix exponential techniques
inferred← citeshttps://doi.org/10.5445/ir/1000043647openalex-snapshot
Rational Krylov subspace methods for phi-functions in exponential integrators
inferred← citeshttps://doi.org/10.59287/icpis.815openalex-snapshot
Polynomial-Based Approach for Efficient Function Computation of Symmetric Matrices Using Restarted Heavy Ball Method
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.