On the public citation graph
Decomposition of a symmetric matrix
0 signed · 108 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known work and none has been retracted — and get a dated CiteStamped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/10.1007/bf01436249openalex-snapshot
Symmetric decomposition of a positive definite matrix
inferredcites →https://doi.org/10.1007/bf01931804openalex-snapshot
On the reduction of a symmetric matrix to tridiagonal form
inferredcites →https://doi.org/10.1007/bf02162559openalex-snapshot
Solution of real and complex systems of linear equations
inferredcites →https://doi.org/10.1016/0024-3795(74)90066-4openalex-snapshot
Manifestations of the Schur complement
inferredcites →https://doi.org/10.1137/0708060openalex-snapshot
Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations
inferredcites →https://doi.org/10.1137/0708061openalex-snapshot
Analysis of the Diagonal Pivoting Method
inferredcites →https://doi.org/10.1145/355694.355697openalex-snapshot
A Comparison of Algorithms for Solving Symmetric Indefinite Systems of Linear Equations
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/net.3230190108openalex-snapshot
Implementing an “exact” Newton method for separable convex transportation problems
inferred← citeshttps://doi.org/10.1002/pamm.202200222openalex-snapshot
Numerical analysis of stress tensor mapping without an external solver
inferred← citeshttps://doi.org/10.1007/978-3-319-05089-8_1openalex-snapshot
Direct Methods for Linear Systems
inferred← citeshttps://doi.org/10.1007/978-3-319-90026-1_4openalex-snapshot
Sparse Direct Solution on Parallel Computers
inferred← citeshttps://doi.org/10.1007/978-3-7091-6957-5_7openalex-snapshot
Inclusion of Eigenvalues of General Eigenvalue Problems for Matrices
inferred← citeshttps://doi.org/10.1007/978-94-015-8196-7_52openalex-snapshot
Accurate Symmetric Eigenreduction by a Jacobi Method
inferred← citeshttps://doi.org/10.1007/978-981-10-4642-1_17openalex-snapshot
Newton Like Line Search Method Using q-Calculus
inferred← citeshttps://doi.org/10.1007/bf00356476openalex-snapshot
Analysis of thin plates by the element-free Galerkin method
inferred← citeshttps://doi.org/10.1007/bf00940759openalex-snapshot
A primal-dual Newton-type algorithm for geometric programs with equality constraints
inferred← citeshttps://doi.org/10.1007/bf01172930openalex-snapshot
Eigenvalues of the real generalized eigenvalue equation perturbed by a low-rank perturbation
inferred← citeshttps://doi.org/10.1007/bf02242019openalex-snapshot
The calculation of guaranteed bounds for eigenvalues using complementary variational principles
inferred← citeshttps://doi.org/10.1007/bf02294077openalex-snapshot
MACPLUS: A Mathematical Programming Approach to Fitting the ADCLUS Model
inferred← citeshttps://doi.org/10.1007/bfb0064904openalex-snapshot
Simultaneous rayleigh-quotient iteration methods for large sparse generalized eigenvalue problems
inferred← citeshttps://doi.org/10.1007/s10107-002-0360-8openalex-snapshot
An augmented Lagrangian interior-point method using directions of negative curvature
inferred← citeshttps://doi.org/10.1007/s10107-002-0367-1openalex-snapshot
Combining search directions using gradient flows
inferred← citeshttps://doi.org/10.1007/s10107-004-0508-9openalex-snapshot
A globally and superlinearly convergent primal-dual interior point trust region method for large scale constrained optimization
inferred← citeshttps://doi.org/10.1007/s10107-007-0096-6openalex-snapshot
Efficient robust optimization for robust control with constraints
inferred← citeshttps://doi.org/10.1007/s10479-008-0425-zopenalex-snapshot
Improving directions of negative curvature in an efficient manner
inferred← citeshttps://doi.org/10.1007/s10543-006-0044-5openalex-snapshot
Indefinite QR Factorization
inferred← citeshttps://doi.org/10.1007/s11075-011-9473-6openalex-snapshot
Novel modifications of parallel Jacobi algorithms
inferred← citeshttps://doi.org/10.1016/0009-2614(92)85370-popenalex-snapshot
The combination of complex scaling and the Lanczos algorithm
inferred← citeshttps://doi.org/10.1016/0020-7683(95)00265-0openalex-snapshot
Analysis of thin shells by the Element-Free Galerkin method
inferred← citeshttps://doi.org/10.1016/0024-3795(90)90222-xopenalex-snapshot
Use of indefinite pencils for computing damped natural modes
inferred← citeshttps://doi.org/10.1016/0898-1221(93)90070-copenalex-snapshot
Rational interpolation via orthogonal polynomials
inferred← citeshttps://doi.org/10.1016/b978-0-12-587260-7.50010-8openalex-snapshot
Mathematical Software and Exploratory Data Analysis
inferred← citeshttps://doi.org/10.1016/b978-0-12-708245-5.50013-0openalex-snapshot
The Determination of Guaranteed Bounds to Eigenvalues with the Use of Variational Methods II
inferred← citeshttps://doi.org/10.1016/j.amc.2005.10.044openalex-snapshot
Dogleg paths and trust region methods with back tracking technique for unconstrained optimization
inferred← citeshttps://doi.org/10.1016/j.amc.2011.11.067openalex-snapshot
Three-level parallel J-Jacobi algorithms for Hermitian matrices
inferred← citeshttps://doi.org/10.1016/j.cag.2010.12.006openalex-snapshot
Interactive 3D medical image segmentation with energy-minimizing implicit functions
inferred← citeshttps://doi.org/10.1016/j.ejor.2017.05.018openalex-snapshot
Full and fast calibration of the Heston stochastic volatility model
inferred← citeshttps://doi.org/10.1016/j.heliyon.2024.e31618openalex-snapshot
An efficient image encryption model based on 6D hyperchaotic system and symmetric matrix for color and gray images
inferred← citeshttps://doi.org/10.1016/j.laa.2010.06.032openalex-snapshot
Block-oriented J-Jacobi methods for Hermitian matrices
inferred← citeshttps://doi.org/10.1016/j.laa.2013.11.028openalex-snapshot
Full block J-Jacobi method for Hermitian matrices
inferred← citeshttps://doi.org/10.1016/j.laa.2015.07.042openalex-snapshot
Sparse block factorization of saddle point matrices
inferred← citeshttps://doi.org/10.1016/s0024-3795(01)00401-3openalex-snapshot
Fast direct solution methods for symmetric banded Toeplitz systems, based on the sine transform
inferred← citeshttps://doi.org/10.1016/s0024-3795(97)00334-0openalex-snapshot
Componentwise analysis of direct factorization of real symmetric and hermitian matrices
inferred← citeshttps://doi.org/10.1016/s0024-3795(97)10043-xopenalex-snapshot
Transformation techniques for Toeplitz and Toeplitz-plus-Hankel matrices II. Algorithms
inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00401-5openalex-snapshot
The impact of high-performance computing in the solution of linear systems: trends and problems
inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00408-8openalex-snapshot
Symbiosis between linear algebra and optimization
inferred← citeshttps://doi.org/10.1016/s0927-0507(05)80203-8openalex-snapshot
Chapter 6 A survey of matrix computations
inferred← citeshttps://doi.org/10.1017/s0004972700005621openalex-snapshot
Stable algorithms for solving symmetric and skew-symmetric systems
inferred← citeshttps://doi.org/10.1023/a:1018957708498openalex-snapshot
Trust region dogleg path algorithms for unconstrained minimization
inferred← citeshttps://doi.org/10.1023/b:stco.0000035301.49549.88openalex-snapshot
A tutorial on support vector regression
inferred← citeshttps://doi.org/10.1090/s0025-5718-1980-0583500-9openalex-snapshot
On Factoring a Class of Complex Symmetric Matrices Without Pivoting
inferred← citeshttps://doi.org/10.1090/s0025-5718-1982-0645664-xopenalex-snapshot
A note on the stable decompostion of skew-symmetric matrices
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.001.0001openalex-snapshot
Direct Methods for Sparse Matrices
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.002.0001openalex-snapshot
Glossary of Symbols
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.002.0005openalex-snapshot
Copyright Page
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0001openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0002openalex-snapshot
Sparse matrices: storage schemes and simple operations
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0003openalex-snapshot
Gaussian elimination for dense matrices: the algebraic problem
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0004openalex-snapshot
Gaussian elimination for dense matrices: numerical considerations
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0005openalex-snapshot
Gaussian elimination for sparse matrices: an introduction
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0006openalex-snapshot
Reduction to block triangular form
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0007openalex-snapshot
Local pivotal strategies for sparse matrices
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0008openalex-snapshot
Ordering sparse matrices for band solution
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0009openalex-snapshot
Orderings based on dissection
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0010openalex-snapshot
Implementing Gaussian elimination without symbolic factorize
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0011openalex-snapshot
Implementing Gaussian elimination with symbolic factorize
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0012openalex-snapshot
Gaussian elimination using trees
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0013openalex-snapshot
Graphs for symmetric and unsymmetric matrices
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0014openalex-snapshot
The solve phase
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0015openalex-snapshot
Other sparsity-oriented issues
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.005.0001openalex-snapshot
Matrix and vector norms
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.005.0002openalex-snapshot
Pictures of sparse matrices
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.005.0003openalex-snapshot
Solutions to selected exercises
inferred← citeshttps://doi.org/10.1109/59.852117openalex-snapshot
Interior-point methods and their applications to power systems: a classification of publications and software codes
inferred← citeshttps://doi.org/10.1109/81.269050openalex-snapshot
Displacement structure approach to singular root distribution problems: the imaginary axis case
inferred← citeshttps://doi.org/10.1109/9.273377openalex-snapshot
Displacement structure approach to singular root distribution problems: the unit circle case
inferred← citeshttps://doi.org/10.1109/access.2021.3099400openalex-snapshot
Fast and Privacy-Preserving Federated Joint Estimator of Multi-sUGMs
inferred← citeshttps://doi.org/10.1109/acssc.1989.1200971openalex-snapshot
Fast modified triangular factorization of hankel and quasi-hankel matrices with arbitrary rank profile
inferred← citeshttps://doi.org/10.1109/lra.2018.2855265openalex-snapshot
Singularity Resolution in Equality and Inequality Constrained Hierarchical Task-Space Control by Adaptive Nonlinear Least Squares
inferred← citeshttps://doi.org/10.1109/tmag.2010.2044562openalex-snapshot
Novel Applications of Inductive Method for Measuring Critical Current Density
inferred← citeshttps://doi.org/10.1137/0609003openalex-snapshot
A Tree Model for Sparse Symmetric Indefinite Matrix Factorization
inferred← citeshttps://doi.org/10.1137/0614067openalex-snapshot
Fast Triangular Factorization and Inversion of Hermitian, Toeplitz, and Related Matrices with Arbitrary Rank Profile
inferred← citeshttps://doi.org/10.1137/070707233openalex-snapshot
Inertia-Revealing Preconditioning For Large-Scale Nonconvex Constrained Optimization
inferred← citeshttps://doi.org/10.1137/21m1411986openalex-snapshot
Stable and Efficient Computation of Generalized Polar Decompositions
inferred← citeshttps://doi.org/10.1137/s0895479801394829openalex-snapshot
On Symmetric Eigenproblems Induced by the Bidiagonal SVD
inferred← citeshttps://doi.org/10.1137/s0895479894270658openalex-snapshot
Stability of Symmetric Ill-Conditioned Systems Arising in Interior Methods for Constrained Optimization
inferred← citeshttps://doi.org/10.1137/s0895479895290371openalex-snapshot
Stability of the Diagonal Pivoting Method with Partial Pivoting
inferred← citeshttps://doi.org/10.1137/s105262349627523xopenalex-snapshot
A Class of Indefinite Dogleg Path Methods for Unconstrained Minimization
inferred← citeshttps://doi.org/10.1137/s1052623496305560openalex-snapshot
Primal-Dual Interior Methods for Nonconvex Nonlinear Programming
inferred← citeshttps://doi.org/10.1145/1163641.1163645openalex-snapshot
An out-of-core sparse symmetric-indefinite factorization method
inferred← citeshttps://doi.org/10.1145/1236463.1236465openalex-snapshot
A numerical evaluation of sparse direct solvers for the solution of large sparse symmetric linear systems of equations
inferred← citeshttps://doi.org/10.1145/212066.212092openalex-snapshot
Computing the MDM T decomposition
inferred← citeshttps://doi.org/10.1145/992200.992202openalex-snapshot
MA57---a code for the solution of sparse symmetric definite and indefinite systems
inferred← citeshttps://doi.org/10.1190/geo2018-0465.1openalex-snapshot
Direct frequency-domain 3D acoustic solver with intermediate data compression benchmarked against time-domain modeling for full-waveform inversion applications
inferred← citeshttps://doi.org/10.12792/iciae2023.045openalex-snapshot
Speech Signal Imaging and Emotion Recognition Based on Symmetric-Diagonal Matrix Model
inferred← citeshttps://doi.org/10.12792/jiiae.11.81openalex-snapshot
Speech Signal Imaging and Emotion Recognition Based on Symmetric-Diagonal Matrix Model
inferred← citeshttps://doi.org/10.1553/etna_vol51s331openalex-snapshot
Preconditioned gradient iterations for the eigenproblem of definite matrix pairs
inferred← citeshttps://doi.org/10.2307/2007283openalex-snapshot
A Note on the Stable Decomposition of Skew-Symmetric Matrices
inferred← citeshttps://doi.org/10.2312/vcbm/vcbm10/009-016openalex-snapshot
Fast and Smooth Interactive Segmentation of Medical Images Using Variational Interpolation
inferred← citeshttps://doi.org/10.26083/tuprints-00017951openalex-snapshot
Irregularity mitigation and portability abstractions for accelerated sparse matrix factorization
inferred← citeshttps://doi.org/10.3929/ethz-a-004469464openalex-snapshot
The Jacobi-Davidson algorithm for solving large sparse symmetric eigenvalue problems with application to the design of accelerator cavities
inferred← citeshttps://doi.org/10.48550/arxiv.1702.01518openalex-snapshot
q-Line Search Scheme for Optimization Problem
inferred← citeshttps://doi.org/10.70675/f025c0f5z9bfbz4148zabdez35a752127ef5openalex-snapshot
Efficient Kinematic and Algorithmic Singularity Resolution for Multi-Contact and Multi-Level Constrained Dynamic Robot Control
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.