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Report on test matrices for generalized inverses
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Verallgemeinerungen einer Testmatrix von Rutishauser mit exakten MOORE‐PENROSE‐Inversen
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Die exakte Berechnung der Moore‐Penrose‐Inversen einer Matrix durch Residuenarithmetik
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Basic Numerical Mathematics
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Basic Numerical Mathematics
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Conjugate-gradient method for computing the Moore-Penrose inverse and rank of a matrix
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Stability of the solutions of linear least squares problems
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Perturbation theory for pseudo-inverses
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Solving linear least squares problems by Gram-Schmidt orthogonalization
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Round off error analysis for Gram-Schmidt method and solution of linear least squares problems
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Fehleranalyse für die Gauß-Elimination zur Berechnung der Lösung minimaler Länge
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Singular value decomposition and least squares solutions
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On the solution of the linear least squares problems and pseudo-inverses
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Testmatrizen mit freien Parametern
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Testmatrizen mit maximaler Konditionszahl
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Numerical algorithms for the Moore-Penrose inverse of a matrix: Direct methods
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Introduction to matrix analysis
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Rounding errors in algebraic processes
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Once again: The least square problem
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Nonnegative matrices which are equal to their generalized inverse
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On rank-deficient pseudoinverses
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A testing scheme for subroutines solving large linear problems
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Alternative computing formulas for the generalized inverse and the evaluation of their performances
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Methods for Computing the Moorse-Penrose Generalized Inverse, and Related Matters
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SQUARS: AN ALGORITHM FOR LEAST-SQUARES APPROXIMATION**This work was supported in part by NSF Grant GP-05850.
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A generalized inverse for matrices
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On best approximate solutions of linear matrix equations
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An Appraisal of Least Squares Programs for the Electronic Computer from the Point of View of the User
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A Report on the Accuracy of Some Widely Used Least Squares Computer Programs
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Numerical inverting of matrices of high order
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Numerical Inverting of Matrices of High Order. II
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A Class of Hessenberg Matrices with Known Pseudoinverse and Drazin Inverse
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THE THEORY OF MATRICES IN NUMERICAL ANALYSIS
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The Evaluation of Matrix Inversion Programs
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Calculating the Singular Values and Pseudo-Inverse of a Matrix
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A Method for Computing the Generalized Inverse of a Matrix
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On the Numerical Properties of an Iterative Method for Computing the Moore–Penrose Generalized Inverse
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A Note on Implementing the Householder Transformation
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Residue Arithmetic Algorithms for Exact Computation of g -Inverses of Matrices
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The Efficient Generation of Random Orthogonal Matrices with an Application to Condition Estimators
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Generalized Inverses of Linear Transformations
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Solving Least Squares Problems
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Computation of Pseudoinverse Matrices Using Residue Arithmetic
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On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
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Test matrices for generalized inverses
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Generalizations of a Rutishauser test matrix with exact Moore-Penrose inverses
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Error Analysis of Direct Methods of Matrix Inversion
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LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
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Exact solution of general integer systems of linear equations
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Motivation und Darstellung von verallgemeinerten Matrixinversen
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Zur Auswahl glatter Lösungen über der Lösungsmannigfaltigkeit unterbestimmter schlechtkonditionierter Systeme
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NUMERICAL COMPUTATION OF THE CHARACTERISTIC VALUES OF A REAL SYMMETRIC MATRIX
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Generalized Inverses: Theory and Applications
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Rounding Errors in Algebraic Processes
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Computational Methods of Linear Algebra
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A Handbook of Numerical Matrix Inversion and Solution of Linear Equations
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Computer Solution of Linear Algebraic Systems
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A Collection of Matrices for Testing Computational Algorithms
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A survey of generalized matrix inverses
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An evaluation of linear least squares computer programs
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Problems used in testing the efficiency and accuracy of the modified Gram-Schmidt least squares algorithm
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Direct and iterative methods for interval parametric algebraic systems producing parametric solutions
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Improved Solution Enclosures for Over- and Underdetermined Interval Linear Systems
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Convergence of Rump’s method for computing the Moore-Penrose inverse
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Tensor neural network models for tensor singular value decompositions
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Nonlinearly Activated Recurrent Neural Network for Computing the Drazin Inverse
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A New Varying-Parameter Design Formula for Solving Time-Varying Problems
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Interpolation algorithm of Leverrier–Faddev type for polynomial matrices
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An efficient method for computing the outer inverse $A_{T,S}^{(2)}$ through Gauss-Jordan elimination
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Weighted Moore–Penrose generalized matrix inverse: MySQL vs. Cassandra database storage system
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EP matrices: computation of the Moore-Penrose inverse via factorizations
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Inversion of Catalan matrix plus one
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Full-rank block LDL ∗ decomposition and the inverses of n×n block matrices
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Optimization of Robust Control for the Uncertain Delta-Type Parallel Manipulator with Active Constraints: A Fuzzy-Set Theory-Based Approach
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An improved parallel algorithm for computing the generalized inverse A+
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Some remarks on matrix norms, condition numbers, and error estimates for linear equations
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Computing generalized inverse of polynomial matrices by interpolation
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Symbolic computation of weighted Moore–Penrose inverse using partitioning method
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Symbolic and recursive computation of different types of generalized inverses
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Differentiation of generalized inverses for rational and polynomial matrices
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Effective partitioning method for computing generalized inverses and their gradients
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Representations and symbolic computation of generalized inverses over fields
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Computation of generalized inverses by using the LDL∗ decomposition
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Interpolation algorithm for computing Drazin inverse of polynomial matrices
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Integration enhanced and noise tolerant ZNN for computing various expressions involving outer inverses
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A robust noise tolerant zeroing neural network for solving time-varying linear matrix equations
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Inversion of the generalized Fibonacci matrix by convolution
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Conditions for Existence, Representations, and Computation of Matrix Generalized Inverses
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