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Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf01386023openalex-snapshot
Absolute norms and characteristic roots
inferredcites →https://doi.org/10.1007/bf01386231openalex-snapshot
Some inequalities involving the euclidean condition of a matrix
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On the field of values subordinate to a norm
inferredcites →https://doi.org/10.1007/bf01386309openalex-snapshot
Transformations by diagonal matrices in a normed space
inferredcites →https://doi.org/10.1145/320932.320933openalex-snapshot
The Approximate Solution of Matrix Problems
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Direct Methods for Sparse Matrices
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Glossary of Symbols
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Copyright Page
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Introduction
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Sparse matrices: storage schemes and simple operations
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Gaussian elimination for dense matrices: the algebraic problem
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Gaussian elimination for dense matrices: numerical considerations
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Gaussian elimination for sparse matrices: an introduction
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Reduction to block triangular form
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Local pivotal strategies for sparse matrices
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Ordering sparse matrices for band solution
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Orderings based on dissection
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Implementing Gaussian elimination without symbolic factorize
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Implementing Gaussian elimination with symbolic factorize
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Gaussian elimination using trees
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Graphs for symmetric and unsymmetric matrices
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The solve phase
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Other sparsity-oriented issues
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Matrix and vector norms
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Reduced conservatism of eigenvalue estimation
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Stability robustness analysis for state space models
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Continuous- and discrete-time D-stability, joint D-stability, and their applications: μ theory and diagonal stability approaches
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The First Five Years of a Phase Theory for Complex Systems and Networks
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Linear Matrix Inequalities In System And Control Theory
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The generalized eigenstructure problem in linear system theory
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Euclidean condition and block relative gain: Connections, conjectures, and clarifications
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The solution of ill-scaled circuit equations
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A Non-Normality Measure of the Condition Number for Monitoring and Control
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Scaling of a System of Linear Differential Equations
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The Sinkhorn–Knopp Algorithm: Convergence and Applications
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Combinatorial Preconditioners for Scalar Elliptic Finite-Element Problems
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The Componentwise Distance to the Nearest Singular Matrix
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Calculating the Singular Values and Pseudo-Inverse of a Matrix
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On a Characterization of the Best $l_2 $-Scaling of a matrix
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The Condition Number of Equivalence Transformations That Block Diagonalize Matrix Pencils
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Optimal Block Diagonal $l_2 $-Scaling of Matrices
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The Stability of Finite Rank Methods with Applications to Integral Equations
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Optimal Conditioning of Bernstein Collocation Matrices
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Automatic Problemsize Reduction for On-State Semiconductor Problems
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Multivariate Approximation Theory
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Today’s Computational Methods of Linear Algebra
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A Symmetry Preserving Algorithm for Matrix Scaling
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Generating Extreme-Scale Matrices With Specified Singular Values or Condition Number
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Nearly Optimal Block-Jacobi Preconditioning
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Verified Error Bounds for Sparse Systems Part I: The Splitting of a Matrix into Two Factors
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Ill-Conditioned Matrices Are Componentwise Near to Singularity
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Minimizing the Euclidean Condition Number
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Structured Perturbations Part II: Componentwise Distances
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