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Estimating the Sensitivity of the Algebraic Structure of Pencils with Simple Eigenvalue Estimates

https://doi.org/10.1137/0611046
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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/bf01400115openalex-snapshot
On condition numbers and the distance to the nearest ill-posed problem
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(84)90190-3openalex-snapshot
The codimension of singular matrix pairs
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)90108-xopenalex-snapshot
Computing stable eigendecompositions of matrix pencils
inferredcites →https://doi.org/10.1016/0041-5553(66)90153-4openalex-snapshot
The algebraic eigenvalue problem
inferredcites →https://doi.org/10.1016/0167-6911(87)90042-9openalex-snapshot
Computing rank-deficiency of rectangular matrix pencils
inferredcites →https://doi.org/10.1016/s0167-6911(84)80035-3openalex-snapshot
Between controllable and uncontrollable
inferredcites →https://doi.org/10.1109/cdc.1980.271778openalex-snapshot
A new algorithm for canonical decomposition of linear systems
inferredcites →https://doi.org/10.1109/tac.1981.1102563openalex-snapshot
Properties of numerical algorithms related to computing controllability
inferredcites →https://doi.org/10.1137/0606007openalex-snapshot
A Perturbation Result for Linear Control Problems
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/10.1137/1015095openalex-snapshot
Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
inferredcites →https://doi.org/10.2307/2003558openalex-snapshot
The Algebraic Eigenvalue Problem
inferredcites →https://doi.org/10.56021/9781421407944openalex-snapshot
Matrix Computations

What points at this work

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

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Placing zeroes and the Kronecker canonical form
inferred← citeshttps://doi.org/10.1007/s002110050272openalex-snapshot
On the distance to uncontrollability and the distance to instability and their relation to some condition numbers in control
inferred← citeshttps://doi.org/10.1016/0167-6911(91)90085-sopenalex-snapshot
An algorithm for computing the distance to uncontrollability
inferred← citeshttps://doi.org/10.1016/0167-6911(95)00023-3openalex-snapshot
Estimating the distance to uncontrollability: A fast method and a slow one
inferred← citeshttps://doi.org/10.1016/j.aml.2011.11.034openalex-snapshot
Minimal perturbation approach implementation in spectral methods
inferred← citeshttps://doi.org/10.1016/j.cam.2019.06.024openalex-snapshot
The feedback search algorithm: Estimating the distance of semi-explicit systems to R -uncontrollability
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Estimating distances from quadruples satisfying stability properties to quadruples not satisfying them
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On the use of observability measures for sensor location in tubular reactor
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Optimal Sensor Location Based on the Observability Measures for an Anaerobic Wastewater Treatment Process
inferred← citeshttps://doi.org/10.1016/s1474-6670(17)43163-6openalex-snapshot
On the Use of Observability Measures for Sensor Location in Tubular Reactors
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/10.1080/03081080802466365openalex-snapshot
A definition of numerical range of rectangular matrices
inferred← citeshttps://doi.org/10.1093/imanum/22.4.501openalex-snapshot
Pseudospectra of rectangular matrices
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Model reduction via matrix pencil approach
inferred← citeshttps://doi.org/10.1109/iccrd.2010.128openalex-snapshot
Pseudospectra Implementation in Multi-domain Spectral Method
inferred← citeshttps://doi.org/10.1137/050628258openalex-snapshot
On a Generalized Eigenvalue Problem for Nonsquare Pencils
inferred← citeshttps://doi.org/10.1137/060658588openalex-snapshot
On the Estimation of the Distance to Uncontrollability for Higher Order Systems
inferred← citeshttps://doi.org/10.1137/060669267openalex-snapshot
Generalized Eigenvalues of Nonsquare Pencils with Structure
inferred← citeshttps://doi.org/10.1137/100787994openalex-snapshot
Nearest Linear Systems with Highly Deficient Reachable Subspaces
inferred← citeshttps://doi.org/10.1137/110828514openalex-snapshot
Solving Overdetermined Eigenvalue Problems
inferred← citeshttps://doi.org/10.1137/14099231xopenalex-snapshot
An Algorithm for the Generalized Eigenvalue Problem for Nonsquare Matrix Pencils by Minimal Perturbation Approach
inferred← citeshttps://doi.org/10.1137/s0895479801384585openalex-snapshot
The Multishift QR Algorithm. Part II: Aggressive Early Deflation
inferred← citeshttps://doi.org/10.1137/s0895479803428795openalex-snapshot
The Generalized Eigenvalue Problem for Nonsquare Pencils Using a Minimal Perturbation Approach
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/s0895479896302382openalex-snapshot
Choosing Poles So That the Single-Input Pole Placement Problem Is Well Conditioned
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/10.1155/2013/948147openalex-snapshot
Upper Bounds for the Distance between a Controllable Switched Linear System and the Set of Uncontrollable Ones
inferred← citeshttps://doi.org/10.5821/dissertation-2117-166154openalex-snapshot
Stratification theory of matrix pairs under equivalence and contragredient equivalence
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