On the Convergence of the Conjugate Gradient Method for Singular Linear Operator Equations

Functional analysis

1973 • 14,327 citations

Methods of conjugate gradients for solving linear systems

1952 • 7,639 citations

Optimization by Vector Space Methods

1970 • 6,346 citations

Function minimization by conjugate gradients

1964 • 4,653 citations

Iterative Solution of Nonlinear Equations in Several Variables

1971 • 4,427 citations

An iteration method for the solution of the eigenvalue problem of linear differential and integral operators

1950 • 4,159 citations

Multiplier and gradient methods

1969 • 2,319 citations

Computational Methods of Linear Algebra

1964 • 1,640 citations

The Gradient Projection Method for Nonlinear Programming. Part I. Linear Constraints

1960 • 1,172 citations

The conjugate gradient method in extremal problems

1969 • 1,000 citations

Solution of systems of linear equations by minimized iterations

1952 • 896 citations

Note sur la convergence de méthodes de directions conjuguées

1969 • 834 citations

Mathematical Methods for Digital Computers

1961 • 571 citations

The Gradient Projection Method for Nonlinear Programming. Part II. Nonlinear Constraints

1961 • 505 citations

The conjugate gradient method for optimal control problems

1967 • 406 citations

Functional Analysis

1968 • 401 citations

The Conjugate Gradient Method for Linear and Nonlinear Operator Equations

1967 • 318 citations

A survey of numerical analysis

1962 • 306 citations

Spektraltheorie halbbeschr�nkter Operatoren und Anwendung auf die Spektralzerlegung von Differentialoperatoren

1934 • 247 citations

Extension of Davidon’s Variable Metric Method to Maximization Under Linear Inequality and Equality Constraints

1969 • 201 citations

Contributions to the Theory of Generalized Inverses

1963 • 190 citations

Method of conjugate gradients for solving linear systems

1952 • 187 citations

The Approximate Minimization of Functionals

1972 • 178 citations

Sequential gradient-restoration algorithm for the minimization of constrained functions?Ordinary and conjugate gradient versions

1969 • 132 citations

Variations on Variable-Metric Methods

1970 • 114 citations

Generalized Inverses, Normal Solvability, and Iteration for Singular Operator Equations

1971 • 113 citations

Relaxationsmethoden bester Strategie zur Lösung linearer Gleichungssysteme

1955 • 100 citations

On a generalization of an inequality of L. V. Kantorovich

1959 • 99 citations

Some Algorithms for Minimizing a Function of Several Variables

1964 • 96 citations

A Note on Pseudoinverses

1963 • 90 citations

Rate of Convergence of Several Conjugate Gradient Algorithms

1972 • 89 citations

Conjugate Gradient Method for Nonlinear Programming Problems with Linear Constraints

1968 • 84 citations

Steepest Descent for Singular Linear Operator Equations

1970 • 83 citations

On generalized inverses and on the uniform convergence of (I − βK)n with application to iterative methods

1967 • 82 citations

Relative self-adjoint operators in Hilbert space

1961 • 78 citations

Über einige Methoden der Relaxationsrechnung

1952 • 77 citations

An iterative method for finding characteristic vectors of a symmetric matrix

1951 • 72 citations

The Conjugate Residual Method for Constrained Minimization Problems

1970 • 62 citations

Spektraltheorie halbbeschr�nkter Operatoren und Anwendung auf die Spektralzerlegung von Differentialoperatoren

1934 • 61 citations

Optimization of Stochastic Systems: Topics in Discrete-Time Systems.

1968 • 59 citations

Hyperbolic Pairs in the Method of Conjugate Gradients

1969 • 57 citations

Comparison of some conjugate direction procedures for function minimization

1969 • 55 citations

Convergence of the conjugate gradient method with computationally convenient modifications

1967 • 52 citations

Properties of the conjugate-gradient and Davidon methods

1968 • 48 citations

The operator theory of the pseudo-inverse I. Bounded operators

1965 • 47 citations

Generalized Inverse Computations Using the Gradient Projection Method

1964 • 43 citations

An Algorithmic Approach to Nonlinear Analysis and Optimization

1973 • 42 citations

An Algorithmic Approach to Nonlinear Analysis and Optimization

1970 • 41 citations

An accelerated gradient method for parameter optimization with non-linear constraints.

1966 • 36 citations

Steepest descent for singular linear operators with nonclosed range

1971 • 35 citations

Solution of Nonlinear Equations

1968 • 34 citations

Some Examples of Generalized Green’s Functions and Generalized Green’s Matrices

1970 • 32 citations

Relation between the memory gradient method and the Fletcher-Reeves method

1969 • 32 citations

The operator theory of the pseudo-inverse II. Unbounded operators with arbitrary range

1965 • 30 citations

Accelerated gradient projection

1970 • 29 citations

Generalized Inverses and Generalized Green’s Functions

1966 • 29 citations

Advanced Numerical Analysis

2011 • 25 citations

Generalized Green’s Matrices for Two-Point Boundary Problems

1967 • 24 citations

A Correction Concerning the Convergence Rate for the Conjugate Gradient Method

1970 • 19 citations

Iterative computational methods

1955 • 15 citations

Memory gradient method for the minimization of functions

1970 • 7 citations

A Generalization of the Method of Conjugate Gradients for Solving Systems of Linear Algebraic Equations

1954 • 5 citations

A generalization of the method of conjugate gradients for solving systems of linear algebraic equations

1954 • 5 citations

О некоторых вычислительных схемах итерационных процессов

1962 • 5 citations