Richard J. Hanson
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Richard J. Hansonmathematics Degrees
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Applied Mathematics
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Mathematics
Richard J. Hanson's Degrees
- PhD Mathematics University of California, Berkeley
- Masters Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley
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(Suggest an Edit or Addition)Richard J. Hanson's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Solving least squares problems (1976) (6520)
- Basic Linear Algebra Subprograms for Fortran Usage (1979) (1900)
- An extended set of FORTRAN basic linear algebra subprograms (1988) (1080)
- Algorithm 656: an extended set of basic linear algebra subprograms: model implementation and test programs (1988) (210)
- A Numerical Method for Solving Fredholm Integral Equations of the First Kind Using Singular Values (1971) (198)
- An algorithm for linear least squares problems with equality and nonnegativity constraints (1981) (138)
- Extensions and applications of the Householder algorithm for solving linear least squares problems (1969) (136)
- Analysis of Measurements Based on the Singular Value Decomposition (1981) (116)
- Algorithm 539: Basic Linear Algebra Subprograms for Fortran Usage [F1] (1979) (99)
- A proposal for an extended set of Fortran Basic Linear Algebra Subprograms (1985) (70)
- Algorithm 587: Two Algorithms for the Linearly Constrained Least Squares Problem (1982) (62)
- A proposal for standard linear algebra subprograms (1973) (44)
- Numerical Solution of Two-Dimensional Integral Equations Using Linear Elements (1978) (44)
- Linear least squares with bounds and liner constraints (1986) (42)
- Sparse linear programming subprogram (1981) (41)
- 23. Linear Least Squares with Linear Inequality Constraints (1995) (35)
- Stably updating mean and standard deviation of data (1975) (24)
- A quadratic-tensor model algorithm for nonlinear least-squares problems with linear constraints (1992) (22)
- An adaptive numerical method for solving linear Fredholm integral equations of the first kind (1975) (21)
- Corrigenda: “An Extended Set of FORTRAN Basic Linear Algebra Subprograms” (1988) (20)
- Gauss Quadrature Rules with B-Spline Weight Functions (1974) (19)
- Integral equations of immunology (1972) (17)
- Least-squares approximation (2003) (16)
- CLASSIFICATION AND REDUCTION OF SECOND ORDER SYSTEMS AT A TURNING POINT. (1967) (15)
- Improving the efficiency of portable software for linear algebra (1973) (14)
- Algorithm 821: A Fortran interface to POSIX threads (2002) (11)
- Basic linear algebra subprograms for FORTRAN usage. [BLAS, in FORTRAN and assembly language for IBM 360/67, CDC 6600 and 7600, and Univac 1108] (1977) (10)
- Reduction theorems for systems of ordinary differential equations with a turning point (1966) (10)
- Algorithm 653: Translation of algorithm 539: PC-BLAS, basic linear algebra subprograms for FORTRAN usage with the INTEL 8087, 80287 numeric data processor (1987) (9)
- Algorithm 620: References and Keywords for Collected Algorithms of the ACM (1984) (9)
- Numerical Computing with Modern Fortran (2013) (9)
- Automatic Error Bounds for Real Roots of Polynomials Having Interval Coefficients (1970) (7)
- A mathematical programming updating method using modified Givens transformations and applied to LP problems (1979) (6)
- ALGORITHM 656 An Extended Set of Basic Linear Algebra Subprograms: Model and Test Programs lmplementatioh (1988) (5)
- Algorithm 830: Another visit with standard and modified Givens transformations and a remark on Algorithm 539 (2004) (5)
- Computing quadratic programming problems: Linear inequality and equality constraints (1970) (5)
- Simplification of second order systems of ordinary differential equations with a turning point. (1968) (5)
- Is the fast Givens transformation really fast? (1973) (4)
- On the constrained linear least-squares problem: a personal view (1987) (4)
- A new algorithm for constrained nonlinear least-squares problems, part 1 (1983) (4)
- 22. Linear Least Squares with Linear Equality Constraints by Weighting (1995) (3)
- Remark on Algorithm 539: A Modern Fortran Reference Implementation for Carefully Computing the Euclidean Norm (2018) (2)
- Remark on Algorithm 539 (2017) (2)
- Using A Fortran Interface to POSIX Threads (2000) (2)
- The Total Least Squares Problem: Computational Aspects and Analysis@@@Solving Least Squares Problems@@@Theoria Combinatoris Observationum Erroribus Minimus Obnoxiae. Pars Prior. Pars Posterior. Supplementum. Theory of the Combination of Observations Least Subject to Errors. Part One, Part Two, Suppl (1999) (2)
- Standardized mixed language programming for Fortran and C (2009) (2)
- 26. Examples of Some Methods of Analyzing a Least Squares Problem (1995) (2)
- Certifying linear equation solvers (1969) (2)
- 6. Bounds for the Condition Number of a Triangular Matrix (1995) (2)
- Revised simplex code for LP problems using orthogonal decomposition: a user's guide. [LPMG, LPMGB, and LPQT, in FORTRAN] (1979) (1)
- Analytic linear systems of differential equations in implicit form (1966) (1)
- Getting Consistent Initial Conditions for a DAE (2008) (1)
- Parallel Inverse Iteration for Eigenvalue and Singular Value Decompositions (1996) (1)
- 11. Computing the Solution for the Overdetermined or Exactly Determined Full Rank Problem (1995) (1)
- Solving Constrained Differential ‐ Algebraic Systems Using Projections (2007) (1)
- Notes on GMRES Algorithm Organization (2005) (1)
- Remark on “Algorithm 584: CUBTRI: Automatic Cubature over a Triangle” (1986) (1)
- Solving Least Squares Problems under Equality/InequalityConstraints (2015) (1)
- Computing Integrals Involving B-Splines by Means of Specialized Gaussian Quadrature Rules. (1973) (1)
- The Update Step in Linear Programming using Modified Givens Transformations. (1976) (1)
- 14. Computing the Solution for Problem LS with Possibly Deficient Pseudorank (1995) (1)
- 2. Analysis of the Least Squares Problem (1995) (1)
- Algorithm 607: Text Exchange System: A Transportable System for Management and Exchange of Programs and other Text (1983) (1)
- 20. Linear Least Squares with Linear Equality Constraints Using a Basis of the Null Space (1995) (0)
- 4. Orthogonal Decomposition by Singular Value Decomposition (1995) (0)
- 15. Analysis of Computing Errors for Householder Transformations (1995) (0)
- 24. Modifying a QR Decomposition to Add or Remove Column Vectors (1995) (0)
- Evaluating American-Style Call Option Prices Based on Constrained Least-Squares (1998) (0)
- Text Exchange System (1986) (0)
- Remark on “Algorithm 507: Procedures for Quintic Natural Spline Interpolation” (1982) (0)
- 13. Computing the Solution for the Underdetermined Full Rank Problem (1995) (0)
- LPMGB. Linear Programming Subroutine W/Bounds (1981) (0)
- Computing an interior point for inequalities using linear optimization (1979) (0)
- 21. Linear Least Squares with Linear Equality Constraints by Direct Elimination (1995) (0)
- TIPS for organizing a local ACM-SIGNUM group (1977) (0)
- 27. Modifying a QR Decomposition to Add or Remove Row Vectors with Application to Sequential Processing of Problems Having a Large or Banded Coefficient Matrix (1995) (0)
- Interactive portable documentation program for a mathematical subroutine library. Revision I (1985) (0)
- 7. The Pseudoinverse (1995) (0)
- A Linear Programming Approach To Maximum Entropy Signal Restoration (1988) (0)
- 25. Practical Analysis of Least Squares Problems (1995) (0)
- 5. Perturbation Theorems for Singular Values (1995) (0)
- 19. Other Methods for Least Squares Problems (1995) (0)
- 16. Analysis of Computing Errors for the Problem LS (1995) (0)
- Linear-Algebra Programs (1982) (0)
- Book review (1997) (0)
- Remark on Algorithm 936: A Fortran Message Processor (2017) (0)
- Selected Algorithms for Least Squares Computations: A Users Guide. (1978) (0)
- 12. Computation of the Covariance Matrix of the Solution Parameters (1995) (0)
- 8. Perturbation Bounds for the Pseudoinverse (1995) (0)
- Basic row-column operations with orthogonally linked sparse matrices for use with FORTRAN (1977) (0)
- Remark on Algorithm 936 (2017) (0)
- 17. Analysis of Computing Errors for the Problem LS Using Mixed Precision Arithmetic (1995) (0)
- Linear algebraic equation polyalgorithm for the CDC 6600 and 7600. A user's guide for LEQSOL(). [For solving systems of equations] (1977) (0)
- Maximum entropy signal restoration with linear programming (1988) (0)
- 3. Orthogonal Decomposition by Certain Elementary Orthogonal Transformations (1995) (0)
- Basic Linear Operators in Fortran 90 (1994) (0)
- 18. Computation of the Singular Value Decomposition and the Solution of Problem LS (1995) (0)
- 10. Numerical Computations Using Elementary Orthogonal Transformations (1995) (0)
- Comments On "Signal Duration and the Fourier Tramfom'' (1980) (0)
- Solving Least Squares or Quadratic Programming Problems under Equality/Inequality Constraints [R package lsei version 1.3-0] (2020) (0)
- Selected algorithms for the linearly constrained least squares problem: a user's guide. [Usage examples for LSEI and WNNLS, in FORTRAN] (1979) (0)
- Computer Program For Linear Algebra (1987) (0)
- 9. Perturbation Bounds for the Solution of Problem LS (1995) (0)
- Mathematical programming updating method using modified Givens transformations and applied to LP problems. A user's guide for SLPMG(). [In FORTRAN] (1978) (0)
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