Robert E. Kalaba

Some aspects of nonlinear allocation processes 2004
An Initial Value Method for Dual Integral Equations with Bessel Function Kernels. 1975
New Methods for Atmospheric Temperature Inversion. 1975
A Cauchy System for a Class of Nonlinear Fredholm Integral Equations. 1970
A Proposal for the Calculation of Characteristic Functions for Certain Differential and Integral Operators via Initial-Value Procedures. 1970
Application of Invariant Imbedding to the Eigenvalue Problems for Buckling of Columns 1969
A Cauchy Method for an Integral Equation of Linearized Couette Flow 1969
Direct Derivation of the Invariant Imbedding Equations for Beams from a Variational Principle. 1969
Equivalence Relationships Between Diffuse Radiation Fields for Finite Slabs Bounded by a Perfect Specular Reflector and a Perfect Absorber. 1969
Estimating the Parameters of an Inhomogeneous Medium by Probing with Rays. 1969
External Radiation Fields for Isotropically Scattering Finite Atmospheres Bounded by a Lambert Law Reflector 1969
The Invariant Imbedding Numerical Method for Fredholm Integral Equations with Displacement Kernels. 1969
Newton's Method for the Nonlinear Integral Equation for the H Function of Isotropic Scattering. 1969
Optimal Trajectories for Quadratic Variational Processes Via Invariant Imbedding. 1969
Proof of the Basic Invariant Imbedding Method for Fredholm Integral Equations with Displacement Kernels — I 1969
Proof of the Basic Invariant Imbedding Method for Fredholm Integral Equations with Displacement Kernels — II 1969
Source Functions for an Isotropically Scattering Atmosphere Bounded by a Specular Reflector. 1969
A Cauchy Problem for Fredholm Integral Equations with Kernels of the Form k1(/t-y/) + k2(t+y). 1968
Computation of the Resolvent for the Auxiliary Equation of Radiative Transfer. 1968
Derivation and Validation of an Initial-Value Method for Certain Nonlinear Two-Point Boundary-Value Problems. 1968
Dynamic Programming and Optimal Trajectories for Quadratic Variational Processes. 1968
Dynamic Programming, Invariant Imbedding, and Thin Beam Theory. 1968
Flux Equivalences Among Rayleigh, Isotropic, and Other Scattering Models. 1968
Initial-Value Methods for Integral Equations Arising in Theories of the Solar Atmosphere. 1968
An Initial-Value Theory for Fredholm Integral Equations with Semidegenerate Kernels. 1968
Invariant Imbedding and a Class of Variational Problems 1968
Invariant Imbedding and Fredholm Integral Equations with Displacement Kernels on an Infinite Interval. 1968
Invariant Imbedding and Fredholm Integral Equations with Pincherle-Goursat Kernels. 1968
Invariant Imbedding and the Variational Treatment of Fredholm Integral Equations with Displacement Kernels 1968
The Invariant Imbedding Numerical Method for Fredholm Integral Equations with Degenerate Kernels. 1968
The Invariant Imbedding Numerical Method for Fredholm Integral Equations with Semidegenerate Kernels. 1968
A New Predictor-Corrector Method for Quasilinear First-Order Partial Differential Equations. 1968
Reflection and Transmission Functions for Finite Isotropically Scattering Atmospheres with Specular Reflectors. 1968
Variational Equations for Certain Homogeneous and Inhomogeneous Linear Systems 1968
Verification of the Invariant Imbedding Method for Certain Fredholm Integral Equations. 1968
Chandrasekhar's Planetary Problem with Internal Sources. 1967
Differential Systems for Eigenvalues of Fredholm Integral Equations. 1967
Direct and Inverse Problems for Integral Equations via Initial-Value Methods. 1967
The Equivalence of the Isotropic and Monodirectional Source Problems. 1967
Evaluation of Functionals of Solutions of Fredholm Integral Equations with Displacement Kernels. 1967
Fitting Functional Equations to Experimental Data. 1967
An Initial-value Method for Fredholm Integral Equations with Degenerate Kernels. 1967
An Initial-value Method for Fredholm Integral Equations with Displacement Kernels : Reflection Functions. 1967
An Initial-value Method for General Fredholm Integral Equations. 1967
An Initial-value Method Suitable for the Computation of Certain Fredholm Resolvents. 1967
The invariant imbedding equations for the dissipation functions of an inhomogenous finite slab with anisotropic scattering [by] R. Bellman [and others] 1967
Multiple Anisotropic Scattering in Slabs with Axially Symmetric Fields. 1967
A new approach to the auxiliary equation with application to the Greenhouse effect 1967
A New Derivation of the Integro-Differential Equations for Chandrasekhar's X and Y Functions 1967
A Practical Method for Determining Green's Functions Using Hadamard's Variational Formula. 1967
A Representation for the Solution of Fredholm Integral Equations. 1967
Verification of an Approximate Formula for Multiple Scattering of Slow Electrons. 1967
The calculation of Sobelev's [phi] function of radiative transfer via numerical inversion of Laplace transforms 1966
A computational approach to Chandrasekhar's planetary problem 1966
Diffuse transmission of light from a central source through an inhomogeneous spherical shell with isotropic scattering 1966
Estimation of local anisotropic scattering properties using measurements of multiply scattered radiation 1966
An initial value method for Fredholm integral equations of a convolution type 1966
Initial value methods for the basic boundary value problem and integral equation of radiative transfer 1966
A new initial value method for internal intensities in radiative transfer 1966
Numerical inversion of Laplace transforms and some inverse problems in radiative transfer 1966
Numerical results for internal intensities in atmospheres illuminated by isotropic sources 1966
Numerical Results for the Estimation of Source Distributions from External Radiation Field Measurements 1966
On the Computational Solution of an Equation Arising in Chemotherapy Using Numerical Inversion of the Laplace Transform. 1966
On the identification of systems and the unscrambling of data-III: one-dimensional wave and diffusion processes [by] R. Bellman [and others] 1966
A proposed computational method for estimation of orbital elements, drag coefficents and potential field parameters from satellite measurements. I Introduction 1966
Quasilinearization and inverse problems for Lanchester equations of conflict 1966
Quasilinearization and the estimation of time lags 1966
Some numerical aspects of unstable boundary-value problems 1966
Time-dependent diffuse reflection from slabs with multiple scattering 1966
Alternative techniques for the invariant imbedding of rarefied couette flows 1965
Analytical and computational techniques for multiple scattering in inhomogeneous slabs 1965
Computational Results for Diffuse Transmission and Reflection for Homogeneous Finite Slabs with Isotropic Scattering. 1965
Computational Solution of Radiative Transfer Problems in Cloud Physics 1965
Dynamic programming and an inverse problem in neutron transport theory 1965
Estimation of internal source distributions using external field measurements in radiative transfer 1965
Invariant imbedding and a reformulation of the internal intensity problem in transport theory 1965
Invariant imbedding and nonvariational principles in analytical dynamics 1965
Invariant imbedding and perturbation techniques applied to diffuse reflection from spherical shells 1965
Invariant imbedding and the computation of internal fields for transport processes 1965
Invariant imbedding and the numerical integration of boundary-value problems for unstable linear systems of ordinary differential equations 1965
Inverse Problems in Ecology 1965
Mathematical experimentation in time-lag modulation 1965
Numerical results for Chandrasekhar's X and Y functions of radiative transfer 1965
Numerical results for the auxiliary equation of radiative transfer 1965
On a new approach to the numerical solution of a class of partial differential integral equations of transport theory 1965
Quasilinearization and nonlinear boundary-value problems 1965
Quasilinearization and the estimation of chemical rate constants from raw kinetic data [by] R. Bellman [and others] 1965
Quasilinearization, invariant imbedding, and the calculation of eigenvalues 1965
Abstraction and Pattern Classification 1964
Application of a New Approach to the Computational Solution of a System of Two Non-linear Partial Differential Equations. 1964
Dynamic Programming and Ill-Conditioned Linear Systems-II. 1964
Dynamic programming, invariant imbedding and quasilinearization: comparisons and interconnections 1964
Estimation of Heart Parameters Using Skin Potential Measurements. 1964
Identification of linear systems via numerical inversion of Laplace transforms 1964
Invariant Imbedding and a Resolvent of the Photon-Diffusion Equation 1964
Invariant Imbedding and Nonlinear Filtering Theory 1964
Invariant Imbedding and Scattering of Light in a One-Dimensional Medium with a Moving Boundary. 1964
Invariant imbedding and time-dependent transport processes 1964
Invariant Imbedding and Time-Dependent Transport Processes-Diffuse Reflection with Delta-Function Input 1964
Inverse Problems in Radiative Transfer: Layered Media 1964
Nonlinear extrapolation and two-point boundary value problems 1964
Numerical integration of a differential-difference equation with a decreasing time-lag 1964
Numerical Solution of Functional Equations by Means of Laplace Transform--III : The Diffusion Equation. 1964
Numerical Solution of Functional Equations by Means of Laplace Transform--IV : Nonlinear Equations. 1964
Numerical Solution of Functional Equations by Means of Laplace Transform--VIII : Determination of Weighting Functions. 1964
Numerical Solution of Functional Equations by Means of Laplace Transform--VI : Stochastic Time-Optimal Control. 1964
Numerical Solution of Functional Equations by Means of Laplace Transform--V : Mismatched Systems of Linear Differential Equations. 1964
Numerical Studies of a Two-Point Nonlinear Boundary Value Problem Using Dynamic Programming, Invariant Imbedding, and Quasilinearization 1964
On the Identification of Systems and the Unscrambling of Data--I: Hidden Periodicities. 1964
On the identification of systems and the unscrambling of Data-II : an inverse problem in radiative transfer 1964
Quasilinearization, Boundary-Value Problems and Linear Programming. 1964
Sensitivity analysis and invariant imbedding 1964
Wengert's Numerical Method for Partial Derivatives, Orbit Determination, and Quasilinearization. 1964
Differential Approximation Applied to the Solution of Convolution Equations. 1963
Dynamic programming and ill-conditioned linear systems 1963
Graph Theory and Automatic Control. 1963
Invariant Imbedding and Rarefied Gas Dynamics. 1963
Invariant Imbedding and the Analysis of Processes. 1963
Invariant Imbedding and the Integration of Hamilton's Equations 1963
An Inverse Problem in Dynamic Programming and Automatic Control. 1963
A mathematical model of drug distribution in the body; implications for cancer chemotherapy [by] Richard Bellman [and others] 1963
A Note on Nonlinear Summability Techniques in Invariant Imbedding. 1963
Numerical inversion of the Laplace transform 1963
Numerical Solution of Functional Equations by Means of Laplace Transform--II : Differential-Difference Equations. 1963
Numerical Solution of Functional Equations by Means of Laplace Transform--I : Renewal Equation. 1963
Plant Modernization under Conditions of Competition and Technological Improvement. 1963
Quasilinearization, system identification and prediction 1963
Dynamic Programming Applied to Control Processes Governed by General Functional Equations. 1962
Invariant Imbedding and Diffuse Reflection from a Two-Dimensional Flat Layer 1962
Invariant Imbedding and Diffuse Reflection of Radiation Due to a Distributed Point Source--I and II. 1962
Invariant Imbedding and Diffuse Reflection of Radiation from a Collimated Point Source--III. 1962
Invariant Imbedding and Noncoherent Scattering in a Finite, Inhomogeneous Atmosphere. 1962
Invariant Imbedding and Radiative Transfer in Slabs of Finite Thickness. 1962
Invariant Imbedding and the Townsend Avalanche 1962
Invariant Imbedding and Time-Dependent Diffuse Reflection by a Finite Inhomogeneous Flat Layer 1962
Modern mathematics, magical computers, and a cornucopia of applications : computational solution of nonlinear boundary value problems via quasilinearization 1962
Modern mathematics, magical computers, and a cornucopia of applications : neutron transport theory or building reactors for fun and profit 1962
Modern mathematics, magical computers, and a cornucopia of applications : polynomial approximation and the computational solution of dynamic programming problems 1962
Modern mathematics, magical computers, and a cornucopia of applications : quasilinearization or two-point boundary-value problems made easy 1962
Modern mathematics, magical computers, and a cornucopia of applications : saving computer storage or look, Ma, no memory! 1962
Modern mathematics, magical computers, and a cornucopia of applications : stochastic control processes or button, button, who's got the button 1962
A Note on Hamilton's Equations and Invariant Imbedding. 1962
On a New Approach to the Computational Solution of Partial Differential Equations 1962
On the Diffuse Reflection of Parallel Rays by an Inhomogeneous Flat Layer as a Limiting Process 1962
Orbit Determination as a Multipoint Boundary Value Problem and Quasilinearization 1962
Polynomial approximation: a new computational technique in dynamic programming-I: allocation processes. 1962
Applications of dynamic programming to space guidance, satellites, and trajectories. 1961
Computational Considerations for Some Deterministic and Adaptive Control Processes. 1961
Design of minimal weight structures for given reliability and cost. 1961
Dynamic programming and the variational principles of classical and statistical mechanics. 1961
Interrupted Stochastic Control Processes. 1961
Mathematical aspects of adaptive control. 1961
On a new computational solution of time-dependent processes-I: a one-dimensional case. 1961
Some Aspects of Quasilinearization 1961
Dynamic programming, Fermat's principle, and the eikonal equation. 1960
Dynamic programming, sequential estimation, and sequential detection processes. 1960
Invariant imbedding and mathematical physics--I: particle processes. 1960
On kth best policies. 1960
Reduction of dimensionality, dynamic programming, and control processes. 1960
Some Mathematical Aspects of Optimal Predation in Ecology and Boviculture. 1960
Some mathematical aspects of optimization problems in engineering. 1960
Dynamic Programming and Adaptive Processes — I: Mathematical Foundation 1959
Dynamic Programming and Feedback Control 1959
Invariant imbedding and neutron transport in a rod of changing length. 1959
Invariant imbedding, random walk, and scattering-II: discrete versions. 1959
A mathematical theory of adaptive control processes. 1959
On control of reactor shutdown involving minimal xenon poisoning. 1959
Some aspects of adaptive control processes. 1959
Some mathematical aspects of chemotherapy-I: one-organ models. 1959
Transport theory and invariant imbedding. 1959
The distribution of a drug in the body. 1958
Functional equations, wave propagation, and invariant imbedding. 1958
Invariant imbedding and neutron transport theory--II: functional equations. 1958
Invariant imbedding and wave propagation in stochastic media. 1958
Invariant Imbedding and Wave Propagation in Stochastic Media 1958
On an application of dynamic programming to the synthesis of logical systems. 1958
On communication processes involving learning and random duration. 1958
On control of reactor shut-down involving minimal xenon poisoning. 1958
Some applications of dynamic programming to communication and information theory. 1958
General Systems Approaches to Telecommunication Optimization. 1957
Invariant imbedding, wave propagation, and the WKB approximation. 1957
A note on preventative sampling. 1957
On Nonlinear Differential Equations, the Maximum Operation, and Monotone Convergence 1957
On weighted PCM and mean square deviation. 1957
Random walk, scattering, and invariant imbedding --I: one-dimensional discrete case. 1957
Linear Programming. 1956
On the Role of Dynamic Programming in Statistical Communication Theory. 1956
Optimal Utilization and Extension of Interoffice Trunking Facilities. 1956
A Simple Derivation of the Poisson Distribution. 1953

Robert E. Kalaba

Some aspects of nonlinear allocation processes 2004

An Initial Value Method for Dual Integral Equations with Bessel Function Kernels. 1975

New Methods for Atmospheric Temperature Inversion. 1975

A Cauchy System for a Class of Nonlinear Fredholm Integral Equations. 1970

A Proposal for the Calculation of Characteristic Functions for Certain Differential and Integral Operators via Initial-Value Procedures. 1970

Application of Invariant Imbedding to the Eigenvalue Problems for Buckling of Columns 1969

A Cauchy Method for an Integral Equation of Linearized Couette Flow 1969

Direct Derivation of the Invariant Imbedding Equations for Beams from a Variational Principle. 1969

Equivalence Relationships Between Diffuse Radiation Fields for Finite Slabs Bounded by a Perfect Specular Reflector and a Perfect Absorber. 1969

Estimating the Parameters of an Inhomogeneous Medium by Probing with Rays. 1969

External Radiation Fields for Isotropically Scattering Finite Atmospheres Bounded by a Lambert Law Reflector 1969

The Invariant Imbedding Numerical Method for Fredholm Integral Equations with Displacement Kernels. 1969

Newton's Method for the Nonlinear Integral Equation for the H Function of Isotropic Scattering. 1969

Optimal Trajectories for Quadratic Variational Processes Via Invariant Imbedding. 1969

Proof of the Basic Invariant Imbedding Method for Fredholm Integral Equations with Displacement Kernels — I 1969

Proof of the Basic Invariant Imbedding Method for Fredholm Integral Equations with Displacement Kernels — II 1969

Source Functions for an Isotropically Scattering Atmosphere Bounded by a Specular Reflector. 1969

A Cauchy Problem for Fredholm Integral Equations with Kernels of the Form k1(/t-y/) + k2(t+y). 1968

Computation of the Resolvent for the Auxiliary Equation of Radiative Transfer. 1968

Derivation and Validation of an Initial-Value Method for Certain Nonlinear Two-Point Boundary-Value Problems. 1968

Dynamic Programming and Optimal Trajectories for Quadratic Variational Processes. 1968

Dynamic Programming, Invariant Imbedding, and Thin Beam Theory. 1968

Flux Equivalences Among Rayleigh, Isotropic, and Other Scattering Models. 1968

Initial-Value Methods for Integral Equations Arising in Theories of the Solar Atmosphere. 1968

An Initial-Value Theory for Fredholm Integral Equations with Semidegenerate Kernels. 1968

Invariant Imbedding and a Class of Variational Problems 1968

Invariant Imbedding and Fredholm Integral Equations with Displacement Kernels on an Infinite Interval. 1968

Invariant Imbedding and Fredholm Integral Equations with Pincherle-Goursat Kernels. 1968

Invariant Imbedding and the Variational Treatment of Fredholm Integral Equations with Displacement Kernels 1968

The Invariant Imbedding Numerical Method for Fredholm Integral Equations with Degenerate Kernels. 1968

The Invariant Imbedding Numerical Method for Fredholm Integral Equations with Semidegenerate Kernels. 1968

A New Predictor-Corrector Method for Quasilinear First-Order Partial Differential Equations. 1968

Reflection and Transmission Functions for Finite Isotropically Scattering Atmospheres with Specular Reflectors. 1968

Variational Equations for Certain Homogeneous and Inhomogeneous Linear Systems 1968

Verification of the Invariant Imbedding Method for Certain Fredholm Integral Equations. 1968

Chandrasekhar's Planetary Problem with Internal Sources. 1967

Differential Systems for Eigenvalues of Fredholm Integral Equations. 1967

Direct and Inverse Problems for Integral Equations via Initial-Value Methods. 1967

The Equivalence of the Isotropic and Monodirectional Source Problems. 1967

Evaluation of Functionals of Solutions of Fredholm Integral Equations with Displacement Kernels. 1967

Fitting Functional Equations to Experimental Data. 1967

An Initial-value Method for Fredholm Integral Equations with Degenerate Kernels. 1967

An Initial-value Method for Fredholm Integral Equations with Displacement Kernels : Reflection Functions. 1967

An Initial-value Method for General Fredholm Integral Equations. 1967

An Initial-value Method Suitable for the Computation of Certain Fredholm Resolvents. 1967

The invariant imbedding equations for the dissipation functions of an inhomogenous finite slab with anisotropic scattering [by] R. Bellman [and others] 1967

Multiple Anisotropic Scattering in Slabs with Axially Symmetric Fields. 1967

A new approach to the auxiliary equation with application to the Greenhouse effect 1967

A New Derivation of the Integro-Differential Equations for Chandrasekhar's X and Y Functions 1967

A Practical Method for Determining Green's Functions Using Hadamard's Variational Formula. 1967

A Representation for the Solution of Fredholm Integral Equations. 1967

Verification of an Approximate Formula for Multiple Scattering of Slow Electrons. 1967

The calculation of Sobelev's [phi] function of radiative transfer via numerical inversion of Laplace transforms 1966

A computational approach to Chandrasekhar's planetary problem 1966

Diffuse transmission of light from a central source through an inhomogeneous spherical shell with isotropic scattering 1966

Estimation of local anisotropic scattering properties using measurements of multiply scattered radiation 1966

An initial value method for Fredholm integral equations of a convolution type 1966

Initial value methods for the basic boundary value problem and integral equation of radiative transfer 1966

A new initial value method for internal intensities in radiative transfer 1966

Numerical inversion of Laplace transforms and some inverse problems in radiative transfer 1966

Numerical results for internal intensities in atmospheres illuminated by isotropic sources 1966

Numerical Results for the Estimation of Source Distributions from External Radiation Field Measurements 1966

On the Computational Solution of an Equation Arising in Chemotherapy Using Numerical Inversion of the Laplace Transform. 1966

On the identification of systems and the unscrambling of data-III: one-dimensional wave and diffusion processes [by] R. Bellman [and others] 1966

A proposed computational method for estimation of orbital elements, drag coefficents and potential field parameters from satellite measurements. I Introduction 1966

Quasilinearization and inverse problems for Lanchester equations of conflict 1966

Quasilinearization and the estimation of time lags 1966

Some numerical aspects of unstable boundary-value problems 1966

Time-dependent diffuse reflection from slabs with multiple scattering 1966

Alternative techniques for the invariant imbedding of rarefied couette flows 1965

Analytical and computational techniques for multiple scattering in inhomogeneous slabs 1965

Computational Results for Diffuse Transmission and Reflection for Homogeneous Finite Slabs with Isotropic Scattering. 1965

Computational Solution of Radiative Transfer Problems in Cloud Physics 1965

Dynamic programming and an inverse problem in neutron transport theory 1965

Estimation of internal source distributions using external field measurements in radiative transfer 1965

Invariant imbedding and a reformulation of the internal intensity problem in transport theory 1965

Invariant imbedding and nonvariational principles in analytical dynamics 1965

Invariant imbedding and perturbation techniques applied to diffuse reflection from spherical shells 1965

Invariant imbedding and the computation of internal fields for transport processes 1965