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Methods and algorithms of solving spectral problems for polynomial and rational matrices
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Introduction to Formal Realizability Theory-I
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A method for eigenvalues of sparse λ‐matrices
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Matrix Eigensystem Routines — EISPACK Guide
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Matrix Eigensystem Routines — EISPACK Guide Extension
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Linear Multivariable Systems
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Rational Krylov Algorithms for Nonsymmetric Eigenvalue Problems
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On a Method for Constructing the Matrix Solution for a Polynomial Matrix
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Linear Multivariable Control: a Geometric Approach
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Iterative Eigenvalue Algorithms for Large Symmetric Matrices
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Minimal Factorization of Matrix and Operator Functions
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A Direct Method for Reordering Eigenvalues in the Generalized Real Schur form of a Regular Matrix Pair (A, B)
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Inversion of lambda-matrices and application to the theory of linear vibrations
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A necessary and sufficient condition for the factorization of a rational operator-function
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Computing the CS and the generalized singular value decompositions
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AB-Algorithm and its modifications for the spectral problems of linear pencils of matrices
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Computing theCS decomposition of a partitioned orthonormal matrix
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A gradient method for the matrix eigenvalue problemAx=?Bx
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Accelerated Gauss-Newton algorithms for nonlinear least squares problems
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Perturbation bounds for the Cholesky andQR factorizations
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Solving sparse symmetric definite quadraticλ-matrix problems
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The method of conjugate gradients used in inverse iteration
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Perturbation bounds for means of eigenvalues and invariant subspaces
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The generalized singular value decomposition and the general (A-λB)-problem
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An algorithm for numerical determination of the structure of a general matrix
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Componentwise perturbation bounds for some matrix decompositions
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Spectral problem for polynomial pencils of matrices
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Singular value decomposition and least squares solutions
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Computational aspects of F. L. Bauer's simultaneous iteration method
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The solution of characteristic value-vector problems by Newton's method
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The least-squares method for matrices dependent on parameters
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An approach to solving nonlinear algebraic systems. 2
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Inversion of polynomial and rational matrices
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A Complex Variable Approach to the Analysis of Linear Multivariable Feedback Systems
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Reducing subspaces : computational aspects and applications in linear systems theory
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Factorization of polynomials in several variables
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An approach to solving the spectral problem of A-λB
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On computing the Kronecker canonical form of regular (A-λB)-pencils
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Reducing subspaces: Definitions, properties and algorithms
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Differential/algebraic systems and matrix pencils
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The two-sided arnoldi algorithm for nonsymmetric eigenvalue problems
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Implementation and applications of the spectral transformation lanczos algorithm
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A method for computing the generalized singular value decomposition
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Perturbation analysis for the generalized eigenvalue and the generalized singular value problem
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Computation of zeros of linear multivariable systems
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Control system synthesis: A factorization approach
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Control system synthesis: A factorization approach
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Introduction to nonlinear network theory
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Iterative eigenvalue algorithms based on convergent splittings
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An Arnoldi-based iterative scheme for nonsymmetric matrix pencils arising in finite element stability problems
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The roots of matrix pencils (Ay=λBy): existence, calculations, and relations to game theory
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On the closeness of eigenvalues and singular values for almost normal matrices
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A fundamental theorem on lambda-matrices with applications —I. Ordinary differential equations with constant coefficients
inferredcites →https://doi.org/10.1016/0024-3795(79)90035-1openalex-snapshot
The computation of Kronecker's canonical form of a singular pencil
inferredcites →https://doi.org/10.1016/0024-3795(79)90140-xopenalex-snapshot
Kronecker's canonical form and the QZ algorithm
inferredcites →https://doi.org/10.1016/0024-3795(83)80037-8openalex-snapshot
Numerical aspects of gram-schmidt orthogonalization of vectors
inferredcites →https://doi.org/10.1016/0024-3795(83)90069-1openalex-snapshot
The eigenstructure of an arbitrary polynomial matrix: computational aspects
inferredcites →https://doi.org/10.1016/0024-3795(84)90190-3openalex-snapshot
The codimension of singular matrix pairs
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Rational Krylov sequence methods for eigenvalue computation
inferredcites →https://doi.org/10.1016/0024-3795(86)90144-8openalex-snapshot
On perturbations and the equivalence orbit of a matrix pencil
inferredcites →https://doi.org/10.1016/0024-3795(86)90298-3openalex-snapshot
Computing stable eigendecompositions of matrices
inferredcites →https://doi.org/10.1016/0024-3795(87)90102-9openalex-snapshot
The weak and strong stability of algorithms in numerical linear algebra
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Rank revealing QR factorizations
inferredcites →https://doi.org/10.1016/0024-3795(87)90108-xopenalex-snapshot
Computing stable eigendecompositions of matrix pencils
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Lanczos algorithms and field of value rotations for symmetric matrix pencils
inferredcites →https://doi.org/10.1016/0024-3795(88)90003-1openalex-snapshot
An improved algorithm for the computation of Kronecker's canonical form of a singular pencil
inferredcites →https://doi.org/10.1016/0024-3795(89)90705-2openalex-snapshot
Parallel and large-scale matrix computations in control: some ideas
inferredcites →https://doi.org/10.1016/0024-3795(93)00077-dopenalex-snapshot
On perturbation bounds for the QR factorization
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Solution of systems of algebraic equations with λ matrices
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An accelerated subspace iteration method
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Computation of eigenpairs of for vibrations of spinning deformable bodies
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Algorithms for approximation
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Large scale eigenvalue problems
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Matrix perturbation theory
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On the latent roots of λ matrices
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Linear Differential Equations and Kronecker's Canonical Form
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Lambda-Matrices and Vibrating Systems
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Pole assignment via Sylvester's equation
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The Lanczos-Arnoldi algorithm and controllability
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Numerical Path Following and Eigenvalue Criteria for Branch Switching
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A propos de l’algorithme $QZ$
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Stabilité d'un algorithme de recherche de valeur propre de problème généralisé
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The singular pencil of a linear dynamical system†
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Structural properties of linear dynamical systems
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Properties of the system matrix of a generalized state-space system†
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Analytic properties of the singular values of a rational matrix
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A Jordan Factorization Theorem for Polynomial Matrices
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𝑆𝑂𝑅-methods for the eigenvalue problem with large sparse matrices
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Gershgorin theory for the generalized eigenvalue problem 𝐴𝑥=𝜆𝐵𝑥
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The spectral transformation Lánczos method for the numerical solution of large sparse generalized symmetric eigenvalue problems
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Chebyshev Acceleration Techniques for Solving Nonsymmetric Eigenvalue Problems
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Simultaneous Iteration for Partial Eigensolution of Real Matrices
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Solution of Non-linear Eigenvalue Problems by the Continuation Method
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Iterative Solution of the Generalized Eigenvalue Problem
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Generalized Eigenvalue Problems for Rectangular Matrices
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Numerical Solution of Matrix Polynomial Equations by Newton's Method
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Generalized Schur methods with condition estimators for solving the generalized Sylvester equation
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Properties of the system matrix of a generalized state-space system
inferredcites →https://doi.org/10.1109/cdc.1978.267983openalex-snapshot
Generalized state-space systems
inferredcites →https://doi.org/10.1109/cdc.1986.267441openalex-snapshot
Observer design for singular systems using canonical forms
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A Hessenberg-Schur method for the problem AX + XB= C
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A Schur method for solving algebraic Riccati equations
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A relationship between sensitivity and stability of multivariable feedback systems
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The generalized eigenstructure problem in linear system theory
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Properties of numerical algorithms related to computing controllability
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A generalized state-space for singular systems
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A LINPACK-style condition estimator for the equation AX-XB^{T} = C
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Polynomial matrices and feedback
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Fundamental, reachability, and observability matrices for discrete descriptor systems
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Minimal cascade factorization of real and complex rational transfer matrices
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State-Space and Multivariable Theory
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MATRICES AND INDEFINITE SCALAR PRODUCTS (Operator Theory: Advances and Applications, 8)
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Periodic Schur decomposition: algorithms and applications
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Irreducible Realizations and the Degree of a Rational Matrix
inferredcites →https://doi.org/10.1137/0313029openalex-snapshot
Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
inferredcites →https://doi.org/10.1137/0609010openalex-snapshot
Accurate Solutions of Ill-Posed Problems in control theory
inferredcites →https://doi.org/10.1137/0613009openalex-snapshot
Distributed and Shared Memory Block Algorithms for the Triangular Sylvester Equation with $\operatorname{sep}^{ - 1} $ Estimators
inferredcites →https://doi.org/10.1137/0613013openalex-snapshot
Numerical Considerations in Computing Invariant Subspaces
inferredcites →https://doi.org/10.1137/0614078openalex-snapshot
On the Perturbation of LU, Cholesky, and QR Factorizations
inferredcites →https://doi.org/10.1137/0702016openalex-snapshot
Calculating the Singular Values and Pseudo-Inverse of a Matrix
inferredcites →https://doi.org/10.1137/0707001openalex-snapshot
The Rotation of Eigenvectors by a Perturbation. III
inferredcites →https://doi.org/10.1137/0707039openalex-snapshot
$Ax = \lambda Bx$ and the Generalized Eigenproblem
inferredcites →https://doi.org/10.1137/0707043openalex-snapshot
On an Approach to the Solution of the Generalized Latent Value Problem for $\lambda $-Matrices
inferredcites →https://doi.org/10.1137/0709056openalex-snapshot
On the Sensitivity of the Eigenvalue Problem $Ax = \lambda Bx$
inferredcites →https://doi.org/10.1137/0710024openalex-snapshot
An Algorithm for Generalized Matrix Eigenvalue Problems
inferredcites →https://doi.org/10.1137/0710059openalex-snapshot
Algorithms for the Nonlinear Eigenvalue Problem
inferredcites →https://doi.org/10.1137/0712061openalex-snapshot
A General Matrix Eigenvalue Algorithm
inferredcites →https://doi.org/10.1137/0713009openalex-snapshot
Generalizing the Singular Value Decomposition
inferredcites →https://doi.org/10.1137/0713065openalex-snapshot
The Algebraic Theory of Matrix Polynomials
inferredcites →https://doi.org/10.1137/0714030openalex-snapshot
Perturbation Bounds for the $QR$ Factorization of a Matrix
inferredcites →https://doi.org/10.1137/0715034openalex-snapshot
Algorithms for Solvents of Matrix Polynomials
inferredcites →https://doi.org/10.1137/0716028openalex-snapshot
An Algorithm for Computing Reducing Subspaces by Block Diagonalization
inferredcites →https://doi.org/10.1137/0717034openalex-snapshot
The Efficient Generation of Random Orthogonal Matrices with an Application to Condition Estimators
inferredcites →https://doi.org/10.1137/0718026openalex-snapshot
Towards a Generalized Singular Value Decomposition
inferredcites →https://doi.org/10.1137/0720040openalex-snapshot
The Condition Number of Equivalence Transformations That Block Diagonalize Matrix Pencils
inferredcites →https://doi.org/10.1137/0720041openalex-snapshot
Perturbation Analysis for the Generalized Singular Value Problem
inferredcites →https://doi.org/10.1137/0720075openalex-snapshot
On Kublanovskaya’s Approach to the Solution of the Generalized Latent Value Problem for Functional $\lambda $-Matrices
inferredcites →https://doi.org/10.1137/0722055openalex-snapshot
Residual Inverse Iteration for the Nonlinear Eigenvalue Problem
inferredcites →https://doi.org/10.1137/0724073openalex-snapshot
Exclusion Theorems and the Perturbation Analysis of the Generalized Eigenvalue Problem
inferredcites →https://doi.org/10.1137/0901035openalex-snapshot
Fitting Empirical Data by Positive Sums of Exponentials
inferredcites →https://doi.org/10.1137/0902010openalex-snapshot
A Generalized Eigenvalue Approach for Solving Riccati Equations
inferredcites →https://doi.org/10.1137/0902014openalex-snapshot
Numerical Solution of a Quadratic Matrix Equation
inferredcites →https://doi.org/10.1137/0903005openalex-snapshot
Solving Symmetric-Definite Quadratic $\lambda $-Matrix Problems without Factorization
inferredcites →https://doi.org/10.1137/0904054openalex-snapshot
Erratum: A Generalized Eigenvalue Approach for Solving Riccati Equations
inferredcites →https://doi.org/10.1137/0905052openalex-snapshot
The Collinearity Problem in Linear Regression. The Partial Least Squares (PLS) Approach to Generalized Inverses
inferredcites →https://doi.org/10.1137/0906024openalex-snapshot
The Numerical Solution of Higher Index Linear Time Varying Singular Systems of Differential Equations
inferredcites →https://doi.org/10.1137/0907014openalex-snapshot
RGSVD—AN Algorithm for Computing the Kronecker Structure and Reducing Subspaces of Singular $A - \lambda B$ Pencils
inferredcites →https://doi.org/10.1137/0907077openalex-snapshot
Computing the Generalized Singular Value Decomposition
inferredcites →https://doi.org/10.1137/0911047openalex-snapshot
Experience with a Matrix Norm Estimator
inferredcites →https://doi.org/10.1137/0911052openalex-snapshot
Accurate Singular Values of Bidiagonal Matrices
inferredcites →https://doi.org/10.1137/0911067openalex-snapshot
A New Algorithm for Numerical Path Following Applied to an Example from Hydrodynamical Flow
inferredcites →https://doi.org/10.1137/1.9780898719468openalex-snapshot
Iterative Solution of Nonlinear Equations in Several Variables
inferredcites →https://doi.org/10.1137/1.9781611971200openalex-snapshot
Numerical Methods for Unconstrained Optimization and Nonlinear Equations
inferredcites →https://doi.org/10.1137/1015095openalex-snapshot
Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
inferredcites →https://doi.org/10.1137/1018113openalex-snapshot
Ill-Conditioned Eigensystems and the Computation of the Jordan Canonical Form
inferredcites →https://doi.org/10.1137/1022057openalex-snapshot
Algorithms for Separable Nonlinear Least Squares Problems
inferredcites →https://doi.org/10.1137/s0895479893246212openalex-snapshot
A Perturbation Analysis of the Generalized Sylvester Equation $( AR - LB,DR - LE ) = ( C,F )$
inferredcites →https://doi.org/10.1145/152613.152615openalex-snapshot
The generalized Schur decomposition of an arbitrary pencil A–λB—robust software with error bounds and applications. Part I
inferredcites →https://doi.org/10.1145/2701.356113openalex-snapshot
Remark on “Algorithm 535: The QZ Algorithm to Solve the Generalized Eigenvalue Problem for Complex Matrices [F2]”
inferredcites →https://doi.org/10.1145/355719.355725openalex-snapshot
Some Thoughts on the QZ Algorithm for Solving the Generalized Eigenvalue Problem
inferredcites →https://doi.org/10.1145/355900.355912openalex-snapshot
An Algorithm for Numerical Computation of the Jordan Normal Form of a Complex Matrix
inferredcites →https://doi.org/10.1145/356012.356017openalex-snapshot
Algorithm 590: DSUBSP and EXCHQZ : FORTRAN Subroutines for Computing Deflating Subspaces with Specified Spectrum
inferredcites →https://doi.org/10.1145/356012.356019openalex-snapshot
Remark on “Algorithm 535: The QZ Algorithm to Solve the Generalized Eigenvalue Problem”
inferredcites →https://doi.org/10.1145/356502.356500openalex-snapshot
Algorithm 535: The QZ algorithm to solve the generalized eigenvalue problem for complex matrices [F2]
inferredcites →https://doi.org/10.1145/362515.362564openalex-snapshot
Algorithm 405: roots of matrix pencils
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Data-flow algorithms for parallel matrix computation
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Deflation in spectral problems for matrix pencils
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Spectral problems for matrix pencils. Methods and algorithms. I
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Spectral problems for matrix pencils. Methods and algorithms. III.
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An approach to solving nonlinear algebraic systems
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Spectral problems for rational matrices. Methods and algorithms. IV
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Singular functions of polynomial matrices
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Solving eigenvalue problems for two-parameter polynomial matrices. Methods and algorithms. Part I.
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Iterative Solution of Nonlinear Equations in Several Variables
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Gershgorin Theory for the Generalized Eigenvalue Problem Ax = λBx
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SOR-Methods for the Eigenvalue Problem with Large Sparse Matrices
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New algorithms for computing the Kronecker structure of a pencil with applications to systems and control theory
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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To solving problems of algebra for two-parameter matrices. III
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To solving problems of algebra for two-parameter matrices. V
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To solving problems of algebra for two-parameter matrices. IX
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Van Dooren's Index Sum Theorem and Rational Matrices with Prescribed Structural Data
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Generalized Standard Triples for Algebraic Linearizations of Matrix Polynomials
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Applications of Muller’s method and the argument principle to eigenvalue problems in solid mechanics
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On Solvents of Matrix Polynomials
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