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On the reduction of a symmetric matrix to tridiagonal form

https://doi.org/10.1007/bf01931804
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inferredcites →https://doi.org/10.2307/2003558openalex-snapshot
The Algebraic Eigenvalue Problem

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inferred← citeshttps://doi.org/10.1002/0471667196.ess1458.pub2openalex-snapshot
Linear Algebra, Computational
inferred← citeshttps://doi.org/10.1002/9781118445112.stat00459openalex-snapshot
Linear Algebra, Computational
inferred← citeshttps://doi.org/10.1002/9781118445112.stat00459.pub2openalex-snapshot
Linear Algebra, Computational
inferred← citeshttps://doi.org/10.1002/cpe.4012openalex-snapshot
Non‐GPU‐resident symmetric indefinite factorization
inferred← citeshttps://doi.org/10.1002/cpe.4055openalex-snapshot
Solving dense symmetric indefinite systems using GPUs
inferred← citeshttps://doi.org/10.1002/nla.529openalex-snapshot
The retraction algorithm for factoring banded symmetric matrices
inferred← citeshttps://doi.org/10.1002/nla.70063openalex-snapshot
A Preconditioner for Solving Linear Programming Problems With Dense Columns
inferred← citeshttps://doi.org/10.1002/nme.1796openalex-snapshot
Fast frequency response analysis of large‐scale structures with non‐proportional damping
inferred← citeshttps://doi.org/10.1007/0-306-48332-7_520openalex-snapshot
Symmetric Systems of Linear Equations
inferred← citeshttps://doi.org/10.1007/978-0-387-74759-0_679openalex-snapshot
Symmetric Systems of Linear Equations
inferred← citeshttps://doi.org/10.1007/978-1-4899-0289-4_24openalex-snapshot
ABS Methods for KT Equations
inferred← citeshttps://doi.org/10.1007/978-3-319-05089-8_1openalex-snapshot
Direct Methods for Linear Systems
inferred← citeshttps://doi.org/10.1007/978-3-319-32149-3_9openalex-snapshot
Dense Symmetric Indefinite Factorization on GPU Accelerated Architectures
inferred← citeshttps://doi.org/10.1007/978-3-642-38750-0_6openalex-snapshot
Leading Edge Hybrid Multi-GPU Algorithms for Generalized Eigenproblems in Electronic Structure Calculations
inferred← citeshttps://doi.org/10.1007/978-3-642-76717-3_1openalex-snapshot
Classical Methods for Linear Equations
inferred← citeshttps://doi.org/10.1007/978-3-662-03972-4_2openalex-snapshot
Notes on Accuracy and Stability of Algorithms in Numerical Linear Algebra
inferred← citeshttps://doi.org/10.1007/978-94-009-0369-2_2openalex-snapshot
Linear Equations in Optimisation
inferred← citeshttps://doi.org/10.1007/bf01086544openalex-snapshot
Computational methods of linear algebra
inferred← citeshttps://doi.org/10.1007/bf01087548openalex-snapshot
Sparse linear problems of the least squares method
inferred← citeshttps://doi.org/10.1007/bf01394454openalex-snapshot
Pivoting techniques for symmetric Gaussian elimination
inferred← citeshttps://doi.org/10.1007/bf01399088openalex-snapshot
Decomposition of a symmetric matrix
inferred← citeshttps://doi.org/10.1007/bf01581044openalex-snapshot
Partial pivoting strategies for symmetric gaussian elimination
inferred← citeshttps://doi.org/10.1007/bf01582091openalex-snapshot
On the use of directions of negative curvature in a modified newton method
inferred← citeshttps://doi.org/10.1007/s00466-003-0493-5openalex-snapshot
Efficient implementation of a generalized Cholesky factorization for Symmetric Galerkin Boundary Element Methods
inferred← citeshttps://doi.org/10.1007/s10107-007-0177-6openalex-snapshot
Modified Cholesky algorithms: a catalog with new approaches
inferred← citeshttps://doi.org/10.1007/s11075-019-00863-yopenalex-snapshot
Variable parameter Uzawa method for solving a class of block three-by-three saddle point problems
inferred← citeshttps://doi.org/10.1016/0024-3795(80)90172-xopenalex-snapshot
A computational method for the indefinite quadratic programming problem
inferred← citeshttps://doi.org/10.1016/b978-0-12-141050-6.50008-8openalex-snapshot
BLOCK METHODS FOR SOLVING SPARSE LINEAR SYSTEMS
inferred← citeshttps://doi.org/10.1016/b978-0-12-141050-6.50012-xopenalex-snapshot
A BIBLIOGRAPHICAL TOUR OF THE LARGE, SPARSE GENERALIZED EIGENVALUE PROBLEM
inferred← citeshttps://doi.org/10.1016/b978-0-12-557580-5.50015-6openalex-snapshot
References
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/b978-0-12-803804-8.00015-5openalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/bs.aiq.2021.05.012openalex-snapshot
Accurate Born-Oppenheimer potentials for excited Σ+ states of the hydrogen molecule
inferred← citeshttps://doi.org/10.1016/j.aml.2018.08.017openalex-snapshot
On the growth factor upper bound for Aasen’s algorithm
inferred← citeshttps://doi.org/10.1016/j.cam.2019.01.006openalex-snapshot
Add–sub pivoting triangular factorization for symmetric matrix
inferred← citeshttps://doi.org/10.1016/j.camwa.2007.04.030openalex-snapshot
Relaxed forms of BBK algorithm and FBP algorithm for symmetric indefinite linear systems
inferred← citeshttps://doi.org/10.1016/j.cpc.2011.04.025openalex-snapshot
Numeric and symbolic evaluation of the pfaffian of general skew-symmetric matrices
inferred← citeshttps://doi.org/10.1016/j.engstruct.2016.07.025openalex-snapshot
Use of negative stiffness in failure analysis of concrete beams
inferred← citeshttps://doi.org/10.1016/s0024-3795(98)10074-5openalex-snapshot
Stability of block LDLT factorization of a symmetric tridiagonal matrix
inferred← citeshttps://doi.org/10.1016/s0168-2024(99)80012-5openalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/s0927-0507(05)80203-8openalex-snapshot
Chapter 6 A survey of matrix computations
inferred← citeshttps://doi.org/10.1016/s1570-8659(00)07002-2openalex-snapshot
Gaussian elimination for the solution of linear systems of equations
inferred← citeshttps://doi.org/10.1017/s0004972700005621openalex-snapshot
Stable algorithms for solving symmetric and skew-symmetric systems
inferred← citeshttps://doi.org/10.1017/s0962492914000038openalex-snapshot
Communication lower bounds and optimal algorithms for numerical linear algebra
inferred← citeshttps://doi.org/10.1017/s0962492916000015openalex-snapshot
Linear algebra software for large-scale accelerated multicore computing
inferred← citeshttps://doi.org/10.1049/el.2011.1450openalex-snapshot
Efficient iterative design of modified DFT filter banks
inferred← citeshttps://doi.org/10.1049/ip-cdt:20030059openalex-snapshot
Analysis of new pivoting strategy for the LDLT decomposition on a multiprocessor system with distributed memory
inferred← citeshttps://doi.org/10.1080/00207160.2018.1467007openalex-snapshot
Backward error and condition number analysis for the indefinite linear least squares problem
inferred← citeshttps://doi.org/10.1080/10556789908805762openalex-snapshot
SDPT3 — A Matlab software package for semidefinite programming, Version 1.3
inferred← citeshttps://doi.org/10.1088/1742-6596/2099/1/012057openalex-snapshot
Recovery of the parameters of a focal zone by the data of earthquakes
inferred← citeshttps://doi.org/10.1090/s0025-5718-1977-0428694-0openalex-snapshot
Some Stable Methods for Calculating Inertia and Solving Symmetric Linear Systems
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/10.1109/8.64447openalex-snapshot
Direct solution of the EFIE with half the computation
inferred← citeshttps://doi.org/10.1109/asid63618.2024.10839724openalex-snapshot
Research and Implementation of Fast Decomposition Method for Symmetric Indefinite Sparse Linear Systems
inferred← citeshttps://doi.org/10.1109/ipdps.2013.98openalex-snapshot
Implementing a Blocked Aasen's Algorithm with a Dynamic Scheduler on Multicore Architectures
inferred← citeshttps://doi.org/10.1109/proc.1977.10514openalex-snapshot
A survey of sparse matrix research
inferred← citeshttps://doi.org/10.1109/sc.companion.2012.173openalex-snapshot
Abstract: A Novel Hybrid CPU-GPU Generalized Eigensolver for Electronic Structure Calculations Based on Fine Grained Memory Aware Tasks
inferred← citeshttps://doi.org/10.1109/tpds.2018.2808964openalex-snapshot
Symmetric Indefinite Linear Solver Using OpenMP Task on Multicore Architectures
inferred← citeshttps://doi.org/10.1134/s1990478921040013openalex-snapshot
On the Determination of the Velocity and Elastic Parameters of a Medium in the Focal Zone from Earthquake Hodographs
inferred← citeshttps://doi.org/10.1137/040610106openalex-snapshot
The Snap-Back Pivoting Method for Symmetric Banded Indefinite Matrices
inferred← citeshttps://doi.org/10.1137/0610035openalex-snapshot
The Strong Stability of Algorithms for Solving Symmetric Linear Systems
inferred← citeshttps://doi.org/10.1137/0613022openalex-snapshot
Preconditioners for Indefinite Systems Arising in Optimization
inferred← citeshttps://doi.org/10.1137/0711043openalex-snapshot
Partial Pivoting Strategies for Symmetric Matrices
inferred← citeshttps://doi.org/10.1137/0719026openalex-snapshot
Newton’s Method with a Model Trust Region Modification
inferred← citeshttps://doi.org/10.1137/0729069openalex-snapshot
Grid Point Interpolation on Finite Regions Using $C^1 $ Box Splines
inferred← citeshttps://doi.org/10.1137/0916009openalex-snapshot
Computing Modified Newton Directions Using a Partial Cholesky Factorization
inferred← citeshttps://doi.org/10.1137/1021028openalex-snapshot
Numerical Methods for the First Biharmonic Equation and for the Two-Dimensional Stokes Problem
inferred← citeshttps://doi.org/10.1137/110858860openalex-snapshot
The Antitriangular Factorization of Symmetric Matrices
inferred← citeshttps://doi.org/10.1137/130929060openalex-snapshot
Communication-Avoiding Symmetric-Indefinite Factorization
inferred← citeshttps://doi.org/10.1137/17m1150013openalex-snapshot
Randomized Complete Pivoting for Solving Symmetric Indefinite Linear Systems
inferred← citeshttps://doi.org/10.1137/s0895479896296921openalex-snapshot
Accurate Symmetric Indefinite Linear Equation Solvers
inferred← citeshttps://doi.org/10.1137/s1052623498335067openalex-snapshot
Some New Search Directions for Primal-Dual Interior Point Methods in Semidefinite Programming
inferred← citeshttps://doi.org/10.1145/1916461.1916462openalex-snapshot
Partitioned Triangular Tridiagonalization
inferred← citeshttps://doi.org/10.1145/2331130.2331138openalex-snapshot
Algorithm 923
inferred← citeshttps://doi.org/10.1145/2464996.2465438openalex-snapshot
Toward a scalable multi-GPU eigensolver via compute-intensive kernels and efficient communication
inferred← citeshttps://doi.org/10.1145/2807591.2807654openalex-snapshot
Efficient implementation of quantum materials simulations on distributed CPU-GPU systems
inferred← citeshttps://doi.org/10.1145/3208976.3209019openalex-snapshot
Symmetric Indefinite Triangular Factorization Revealing the Rank Profile Matrix
inferred← citeshttps://doi.org/10.1145/3264491openalex-snapshot
PLASMA
inferred← citeshttps://doi.org/10.1177/1094342013502097openalex-snapshot
A novel hybrid CPU–GPU generalized eigensolver for electronic structure calculations based on fine-grained memory aware tasks
inferred← citeshttps://doi.org/10.1201/9781420028683.ch4openalex-snapshot
Parallel Algorithms for the Singular Value Decomposition
inferred← citeshttps://doi.org/10.2307/2007283openalex-snapshot
A Note on the Stable Decomposition of Skew-Symmetric Matrices
inferred← citeshttps://doi.org/10.2478/s11533-012-0158-8openalex-snapshot
Application of splines for determining the velocity characteristic of a medium from a vertical seismic survey
inferred← citeshttps://doi.org/10.33048/sibjim.2021.24.401openalex-snapshot
On the determination of the velocity and elastic parameters of the focal zone medium from the earthquake hodographs
inferred← citeshttps://doi.org/10.6084/m9.figshare.1377844openalex-snapshot
Factorization of Symmetric Indefinite Matrices
inferred← citeshttps://doi.org/10.70675/64f94edcz1308z4555zacd8zb0be6c9dec27openalex-snapshot
Block low-rank multifrontal solvers : complexity, performance, and scalability
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