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AB-Algorithm and its modifications for the spectral problems of linear pencils of matrices

https://doi.org/10.1007/bf01390177
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01460271openalex-snapshot
TheAB-algorithm and its properties
inferredcites →https://doi.org/10.1007/bf02104306openalex-snapshot
Spectral problem for polynomial pencils of matrices
inferredcites →https://doi.org/10.1007/bf02163027openalex-snapshot
Singular value decomposition and least squares solutions

What points at this work

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

inferred← citeshttps://doi.org/10.1002/nla.251openalex-snapshot
Evaluating products of matrix pencils and collapsing matrix products
inferred← citeshttps://doi.org/10.1002/nla.367openalex-snapshot
On the computation of the infimum in H∞‐optimization
inferred← citeshttps://doi.org/10.1007/bf02168360openalex-snapshot
Methods and algorithms of solving spectral problems for polynomial and rational matrices
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Solution of systems of nonlinear algebraic equations in three variables. Methods and algorithms. 3
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Solution of the Cauchy problem. Methods and algorithms
inferred← citeshttps://doi.org/10.1007/bfb0062092openalex-snapshot
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
inferred← citeshttps://doi.org/10.1007/s00211-006-0001-xopenalex-snapshot
An Arithmetic for Matrix Pencils: Theory and New Algorithms
inferred← citeshttps://doi.org/10.1007/s10958-005-0489-0openalex-snapshot
To Solving Multiparameter Problems of Algebra. 4. The AB-Algorithm and its Applications
inferred← citeshttps://doi.org/10.1007/s10958-012-0791-6openalex-snapshot
To solving the eigenvalue problem for polynomial matrices of general form
inferred← citeshttps://doi.org/10.1007/s10958-013-1294-9openalex-snapshot
To the Memory of V. N. Kublanovskaya
inferred← citeshttps://doi.org/10.1016/0024-3795(86)90025-xopenalex-snapshot
On reducing infinite eigenvalues of regular pencils by a nonequivalence transformation
inferred← citeshttps://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
inferred← citeshttps://doi.org/10.1016/0024-3795(93)90477-6openalex-snapshot
Parallel algorithm for solving some spectral problems of linear algebra
inferred← citeshttps://doi.org/10.1016/0024-3795(94)90403-0openalex-snapshot
A new look at pencils of matrix valued functions
inferred← citeshttps://doi.org/10.1016/0041-5553(84)90020-xopenalex-snapshot
A general approach to reducing a regular linear pencil to a pencil of quasitriangular form
inferred← citeshttps://doi.org/10.1016/j.laa.2005.01.016openalex-snapshot
A quadratically convergent QR-like method without shifts for the Hermitian eigenvalue problem
inferred← citeshttps://doi.org/10.1016/j.laa.2015.01.015openalex-snapshot
Duality of matrix pencils, Wong chains and linearizations
inferred← citeshttps://doi.org/10.1016/j.laa.2019.09.006openalex-snapshot
Root polynomials and their role in the theory of matrix polynomials
inferred← citeshttps://doi.org/10.1016/s0024-3795(98)10122-2openalex-snapshot
Where is the nearest non-regular pencil?
inferred← citeshttps://doi.org/10.1016/s0304-0208(08)72650-1openalex-snapshot
Stably Computing the Kronecker Structure and Reducing Subspaces of Singular Pencils A-λ for Uncertain Data
inferred← citeshttps://doi.org/10.1016/s1474-6670(17)54269-xopenalex-snapshot
Computation of Zeros of Generalized State-Space Systems
inferred← citeshttps://doi.org/10.1023/a:1019153528915openalex-snapshot
Extracting partial canonical structure for large scale eigenvalue problems
inferred← citeshttps://doi.org/10.1023/a:1022498301583openalex-snapshot
Bounds for the Distance Between Nearby Jordan and Kronecker Structures in a Closure Hierarchy
inferred← citeshttps://doi.org/10.1090/s0025-5718-04-01667-9openalex-snapshot
Spectral division methods for block generalized Schur decompositions
inferred← citeshttps://doi.org/10.1093/imamci/dnz031openalex-snapshot
On the Kronecker canonical form of a full row rank matrix pencil and applications
inferred← citeshttps://doi.org/10.1109/cacsd.1999.808624openalex-snapshot
Two point boundary value and periodic eigenvalue problems
inferred← citeshttps://doi.org/10.1109/cacsd.1999.808627openalex-snapshot
Arithmetic for rectangular matrix pencils
inferred← citeshttps://doi.org/10.1134/s0965542518070126openalex-snapshot
The Bauer-Type Factorization of Matrix Polynomials Revisited and Extended
inferred← citeshttps://doi.org/10.1137/05064521xopenalex-snapshot
Multishift Variants of the QZ Algorithm with Aggressive Early Deflation
inferred← citeshttps://doi.org/10.1137/0609006openalex-snapshot
A Pencil Approach for Embedding a Polynomial Matrix into a Unimodular matrix
inferred← citeshttps://doi.org/10.1137/0907014openalex-snapshot
RGSVD—AN Algorithm for Computing the Kronecker Structure and Reducing Subspaces of Singular $A - \lambda B$ Pencils
inferred← citeshttps://doi.org/10.1137/0917055openalex-snapshot
Efficient Algorithms for Computing a Strong Rank-Revealing QR Factorization
inferred← citeshttps://doi.org/10.1137/s0895479804442450openalex-snapshot
Combinatorial Analysis of Singular Matrix Pencils
inferred← citeshttps://doi.org/10.1137/s0895479894260900openalex-snapshot
The Set of 2-by-3 Matrix Pencils — Kronecker Structures and Their Transitions under Perturbations
inferred← citeshttps://doi.org/10.1137/s0895479895284634openalex-snapshot
A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part I: Versal Deformations
inferred← citeshttps://doi.org/10.1137/s0895479896310184openalex-snapshot
A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part II: A Stratification-Enhanced Staircase Algorithm
inferred← citeshttps://doi.org/10.1137/s089547989833574xopenalex-snapshot
Staircase Failures Explained by Orthogonal Versal Forms
inferred← citeshttps://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
inferred← citeshttps://doi.org/10.23919/ecc.1997.7082700openalex-snapshot
Disk functions and their relationship to the matrix sign function
inferred← citeshttps://doi.org/10.48550/arxiv.1609.00581openalex-snapshot
$AB$-algorithm and its application for solving matrix square roots
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