Calculation of tables of inverses and determinants of finite segments of the Hilbert matrix
Calculating tables of inverses and determinants of finite segments of Hilbert matrices using variable precision rational arithmetic
Cuthill, E.↗
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A subsonic transonic and supersonic nozzle flow by the inverse technique
Inverse solution of two dimensional gas dynamic flow fields of rotational or irrotational character
Norton, David J.↗
The absence of helical inversion in single component cholesteric liquid crystals
Thermally induced helical inversion absence in single component cholesteric liquid crystals indicating impurity compensation
Baessler, H.↗
A modified inverse for linear dynamical systems
Existence and construction of modified L lag inverses solution method for linear dynamical systems
Massey, J. L.↗
Note on feedforward inverses for linear sequential circuits
Linear sequential circuits feedforward inverse transfer function matrix existence condition and construction procedure
Olson, R. R.↗
The theory of inverse Compton scattering in a cold plasma
Vacuum spectrum modification theory for inverse Compton scattering in cold collisionless plasma
Goldstein, M. L.↗
Further investigations of NH3 inversion radiation
Ammonia inversion radiation at 1.25 cm in direction of three galactic center sources, setting upper limits on densities in other areas
Cheung, A. C.↗
A power series inverse in time of the universal Kepler equation
Series inverse in powers of time and radius of convergence for universal form of Kepler equation, discussing recursion formulas for coefficients
Estes, R. H.↗
GaAs-laser-induced population inversion in the ground-state hyperfine levels of Cs133
Population inversion in Cs133 ground state hyperfine levels, using CW GaAs laser at 77 K for optical pumping
Alley, C. O.↗
On the use of generalized inverses in function minimization
Minimization algorithms unified derivation, using Hessian matrix inverse
Tewarson, R. P.↗
Population inversion of A. U. V. atomic line in recombining plasma nozzle flow
Arc heated plasma expansion through nozzle, observing population inversion of neutral carbon self-absorption UV atomic line
Bowen, S. W.↗
Inversion of spin-stabilized spacecraft by mass translation - Some practical aspects
Spin stabilized spacecraft inversion by mass translation with momentum vector fixed in inertial space, calculating control mass dynamics
Beachley, N. H.↗
Applications of generalized inverses to estimation in a dynamic system
Generalized matrix inverses application to estimation of state vector in dynamic control system, determining covariance matrix of estimator
Prochaska, B. J.↗
Flight instrument and telemetry response and its inversion
Mathematical models of rate gyros, servo accelerometers, pressure transducers, and telemetry systems were derived and their parameters were obtained from laboratory tests. Analog computer simulations were used extensively for verification of the validity for fast and large input signals. An optimal inversion method was derived to reconstruct input signals from noisy output signals and a computer program was prepared.
Weinberger, M. R.↗
Iterative computation of generalized inverses, with an application to CMG steering laws
A cubically convergent iterative method for computing the generalized inverse of an arbitrary M X N matrix A is developed and a FORTRAN subroutine by which the method was implemented for real matrices on a CDC 3200 is given, with a numerical example to illustrate accuracy. Application to a redundant single-gimbal CMG assembly steering law is discussed.
Steincamp, J. W.↗
Formation of OH through inverse predissociation.
The formation of OH by inverse predissociation from continuum levels to the v = 1, k = 1 vibrational level of a repulsive molecular state originating from an asymptotic atomic ground state is discussed. A rate constant of (1 to 3) x 10 to the minus twentieth power cu cm/sec is calculated for temperatures greater than 20 K. Predicted OH densities are found to be consistent with observations in dense heavily obscured clouds, but appear to be somewhat low for H I clouds.
Julienne, P. S.↗
Inversion problem for ion-atom differential elastic scattering.
The paper describes a practical application of Remler's (1971) method by which one constructs a set of phase shifts from high resolution measurements of the differential elastic scattering of protons by rare-gas atoms. These JWKB phase shifts are then formally inverted to determine the corresponding intermolecular potentials. The validity of the method is demonstrated by comparing an intermolecular potential obtained by direct inversion of experimental data with a fairly accurate calculation by Wolniewicz (1965).
Rich, W. G.↗
Applications of generalized inverses to estimation in dynamic systems.
Generalized matrix inverses are used to obtain an estimation procedure for estimation of the state vector of a dynamic system. This sequential procedure is studied analytically with respect to the choice of an arbitrary vector. The covariance matrix of the estimator is determined and compared to the optimal Kalman type procedure. A numerical example illustrates the procedure and compares it to the optimal one.
Prochaska, B. J.↗