Calculating the Singular Values and Pseudo-Inverse of a Matrix
Data up to Jan 2025
Total Citations Per Year
Abstract
References (36)
A generalized inverse for matrices
1955 • 4,215 citations
The approximation of one matrix by another of lower rank
1936 • 3,560 citations
On best approximate solutions of linear matrix equations
1956 • 732 citations
A Survey of Modern Algebra
2017 • 702 citations
Linear Differential Operators
1962 • 643 citations
Unitary Triangularization of a Nonsymmetric Matrix
1958 • 586 citations
Linear Differential Operators
1962 • 565 citations
A Survey of Modern Algebra
1954 • 479 citations
Error Analysis of Direct Methods of Matrix Inversion
1961 • 441 citations
Some Applications of the Pseudoinverse of a Matrix
1960 • 341 citations
Inversion of Matrices by Biorthogonalization and Related Results
1958 • 241 citations
Optimally scaled matrices
1963 • 241 citations
The cyclic Jacobi method for computing the principal values of a complex matrix
1960 • 239 citations
Contributions to the Theory of Generalized Inverses
1963 • 190 citations
On Pre-Conditioning of Matrices
1960 • 186 citations
On some algorithms for the solution of the complete eigenvalue problem
1962 • 181 citations
Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection
1962 • 149 citations
On best conditioned matrices
1955 • 112 citations
Solution of linear equations by diagonalization of coefficients matrix
1955 • 108 citations
Householder's Method for the Solution of the Algebraic Eigenproblem
1960 • 105 citations
An Algorithm for Scaling Matrices
1962 • 78 citations
The Calculation of the Eigenvectors of Codiagonal Matrices
1958 • 77 citations
The Jacobi Method for Real Symmetric Matrices
1959 • 76 citations
The LLT and QR methods for symmetric tridiagonal matrices
1963 • 58 citations
An Elimination Method for Computing the Generalized Inverse of an Arbitrary Complex Matrix
1963 • 36 citations
Bordered Matrices
1962 • 35 citations
Comparison of the Variance of Minimum Variance and Weighted Least Squares Regression Coefficients
1963 • 33 citations
The Calculation of Eigenvectors by the Method of Lanczos
1958 • 27 citations
On Least Squares Solutions of Linear Equations
1961 • 26 citations
The Computation of the Generalized Inverse of singular or Rectangular Matrices
1963 • 24 citations
Stability of the Reduction of a Matrix to Almost Triangular and Triangular Forms by Elementary Similarity Transformations
1959 • 21 citations
Error Analysis of Eigenvalue Techniques Based on Orthogonal Transformations
1962 • 16 citations
Elements of linear spaces
1962 • 14 citations
Remarks on the Unitary Triangularization of a Nonsymmetric Matrix
1960 • 12 citations
Elements of Linear Spaces.
1961 • 8 citations
Deflation bei Bandmatrizen
1959 • 8 citations