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Componentwise perturbation bounds for some matrix decompositions

https://doi.org/10.1007/bf01994852

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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/bf01931293openalex-snapshot

Perturbation bounds for the Cholesky andQR factorizations

inferredcites →https://doi.org/10.1007/bf01931295openalex-snapshot

Perturbation bounds for theLDL H andLU decompositions

inferredcites →https://doi.org/10.1016/c2013-0-10361-3openalex-snapshot

Nonnegative Matrices in the Mathematical Sciences

inferredcites →https://doi.org/10.1137/0714030openalex-snapshot

Perturbation Bounds for the $QR$ Factorization of a Matrix

inferredcites →https://doi.org/10.1137/1.9781611971262openalex-snapshot

Nonnegative Matrices in the Mathematical Sciences

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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Imposing symmetry in augmented linear systems

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inferred← citeshttps://doi.org/10.1007/978-3-319-15260-8_7openalex-snapshot

Perturbation Analysis of Matrix Equations and Decompositions

inferred← citeshttps://doi.org/10.1007/978-3-642-02295-1_5openalex-snapshot

Floating-Point LLL: Theoretical and Practical Aspects

inferred← citeshttps://doi.org/10.1007/978-3-642-03737-5_3openalex-snapshot

Problems and Results in Matrix Perturbation Theory

inferred← citeshttps://doi.org/10.1007/bf02168360openalex-snapshot

Methods and algorithms of solving spectral problems for polynomial and rational matrices

inferred← citeshttps://doi.org/10.1007/bf02510255openalex-snapshot

On the sensitivity of the LU factorization

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Componentwise perturbation analyses for the QR factorization

inferred← citeshttps://doi.org/10.1007/s10543-004-6025-7openalex-snapshot

Stability and Sensitivity of Tridiagonal LU Factorization without Pivoting

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On perturbation bounds for the QR factorization

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Perturbation analysis of system hessenberg and hessenberg-triangular forms

inferred← citeshttps://doi.org/10.1016/0024-3795(95)00647-8openalex-snapshot

Perturbation analysis of orthogonal canonical forms

inferred← citeshttps://doi.org/10.1016/j.apnum.2012.01.001openalex-snapshot

On the estimation of numerical error bounds in linear algebra based on discrete stochastic arithmetic

inferred← citeshttps://doi.org/10.1016/j.camwa.2005.08.008openalex-snapshot

Perturbation bounds for triangular and full rank factorizations

inferred← citeshttps://doi.org/10.1016/j.tcs.2017.03.034openalex-snapshot

Mixed and componentwise condition numbers for matrix decompositions

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Rounding-error and perturbation bounds for the indefinite QR factorization

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Exponential splittings of products of matrices and accurately computing singular values of long products

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Some Features of Gaussian Elimination with Rook Pivoting

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A QR Decomposition for Matrix Pencils

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Perturbations of Triangular Matrix Factorizations

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Perturbation Theory for Factorizations of LU Type through Series Expansions

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New Fast and Accurate Jacobi SVD Algorithm. I

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Rigorous Perturbation Bounds of Some Matrix Factorizations

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A New Perturbation Bound for the LDU Factorization of Diagonally Dominant Matrices

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Relative Perturbation Theory for Diagonally Dominant Matrices

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Conditioning of Leverage Scores and Computation by QR Decomposition

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Matrices with Tunable Infinity-Norm Condition Number and No Need for Pivoting in LU Factorization

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Exactly Solving Sparse Rational Linear Systems via Roundoff-Error-Free Cholesky Factorizations

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On the Perturbation of the Cholesky Factorization

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An Efficient Implementation of the Nonsymmetric Lanczos Algorithm

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Perturbation Analyses for the QR Factorization

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New Accurate Algorithms for Singular Value Decomposition of Matrix Triplets

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Certification of the QR factor R and of lattice basis reducedness

inferred← citeshttps://doi.org/10.18514/mmn.2000.24openalex-snapshot

Componentwise perturbation bounds for the $LU$, $LDU$ and $LDT^T$ decompositions

inferred← citeshttps://doi.org/10.3166/tsi.29.115-144openalex-snapshot

Analyse numérique et réduction de réseaux

inferred← citeshttps://doi.org/10.3390/math10244687openalex-snapshot

Componentwise Perturbation Analysis of the QR Decomposition of a Matrix

inferred← citeshttps://doi.org/10.3934/naco.2011.1.301openalex-snapshot

Multiplicative perturbation analysis for QR factorizations

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