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Journal of Chemical Theory and Computation, ISSN 1549-9618, 02/2018, Volume 14, Issue 2, pp. 607 - 618
We explore the existence and behavior of holomorphic restricted Hartree–Fock (h-RHF) solutions for two-electron problems. Through algebraic geometry, the exact... 
CHEMICAL-REACTIONS | MULTIPLE SOLUTIONS | WAVE-FUNCTIONS | TWISTED ETHYLENE | NONORTHOGONAL CONFIGURATION-INTERACTION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | SINGLET GROUND-STATES | UHF SOLUTIONS | EXCITED-STATES | INSTABILITY THRESHOLD | SYMMETRY-BREAKING | Physics - Chemical Physics
Journal Article
IEEE Communications Letters, ISSN 1089-7798, 06/2016, Volume 20, Issue 6, pp. 1263 - 1266
Journal Article
Inverse Problems, ISSN 0266-5611, 06/2008, Volume 24, Issue 3, p. 034005
Consider an ill-posed problem transformed if necessary so that the errors in the data are independent identically normally distributed with mean zero and... 
MATHEMATICS, APPLIED | RIDGE REGRESSION | NUMERICAL SOLUTION | FREDHOLM INTEGRAL EQUATIONS | NONORTHOGONAL PROBLEMS | L-CURVE | PHYSICS, MATHEMATICAL | FIRST KIND
Journal Article
Communications in Statistics - Theory and Methods, ISSN 0361-0926, 05/2005, Volume 34, Issue 5, pp. 1177 - 1182
Hoerl and Kennard ( 1970a ) introduced the ridge regression estimator as an alternative to the ordinary least squares estimator in the presence of... 
Ridge Regression | Simulations | 67J07 | Multicollinearity | STATISTICS & PROBABILITY | multicollinearity | NONORTHOGONAL PROBLEMS | ESTIMATORS | ridge regression | simulations | Economics | Samhällsvetenskap | Economics and Business | Ekonomi | Social Sciences | Business and economics | Nationalekonomi | Ekonomi och näringsliv
Journal Article
IEEE Microwave and Wireless Components Letters, ISSN 1531-1309, 10/2013, Volume 23, Issue 10, pp. 515 - 517
Journal Article
Journal of Mathematical Sciences, ISSN 1072-3374, 9/2019, Volume 241, Issue 4, pp. 430 - 447
We discuss computational aspects of the spectral problem for the curl of a vector field that allow one to find tangent fields to coordinate surfaces of a given... 
biorthogonal basis | local nonorthogonal coordinate system | curl | tangent field | 78A25 | force-free field | transition matrix | Mathematics, general | Mathematics | 83C50 | spectral problem | coordinate surface
Journal Article
Statistical Applications in Genetics and Molecular Biology, ISSN 1544-6115, 11/2005, Volume 4, Issue 1, pp. 32 - 30
Journal Article
Analyst, ISSN 0003-2654, 03/2016, Volume 141, Issue 6, pp. 1973 - 1980
In order to solve the spectra standardization problem in near-infrared (NIR) spectroscopy, a Transfer via Extreme learning machine Auto-encoder Method (TEAM)... 
CHEMISTRY, ANALYTICAL | RIDGE REGRESSION | STANDARDIZATION | NONORTHOGONAL PROBLEMS | NEAR-INFRARED SPECTROSCOPY | CLASSIFICATION | SPECTRA
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 04/2011, Volume 34, Issue 6, pp. 692 - 702
In this paper, the inverse problem of finding the time‐dependent coefficient of heat capacity together with the solution of heat equation with nonlocal... 
nonorthogonal systems of functions | inverse problem | integral overdetermination condition | nonlocal boundary conditions | parabolic equation | MATHEMATICS, APPLIED | Inverse problems | Mathematical analysis | Uniqueness | Mathematical models | Inverse | Boundaries | Coefficients | Heat equations
Journal Article
Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 03/2007, Volume 75, Issue 11
Real-space multiscale methods provide efficient algorithms for large-scale electronic structure calculations. In this paper, we present multigrid strategies... 
PHYSICS, CONDENSED MATTER | MOLECULAR-DYNAMICS | NONORTHOGONAL LOCALIZED ORBITALS | KOHN-SHAM EQUATIONS | GAUSSIAN PSEUDOPOTENTIALS | AB-INITIO CALCULATIONS | TOTAL-ENERGY CALCULATIONS | ELECTRONIC-STRUCTURE CALCULATIONS | DENSITY-FUNCTIONAL THEORY | ITERATIVE MINIMIZATION | MULTIGRID TECHNIQUES
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 06/2014, Volume 67, Issue 10, pp. 1864 - 1883
Journal Article
IEEJ Transactions on Electrical and Electronic Engineering, ISSN 1931-4973, 07/2013, Volume 8, Issue 4, pp. 415 - 419
The iterated unscented Kalman filter (IUKF) is a promising nonlinear tracking algorithm. However, we find that the IUKF has poor performance in tracking... 
nonorthogonal problem | passive tracking | iterated unscented Kalman filter | Nonorthogonal problem | Iterated unscented Kalman filter | Passive tracking | ENGINEERING, ELECTRICAL & ELECTRONIC | Algorithms | State vectors | Tracking | Noise | Mathematical analysis | Kalman filters | Iterative methods | Optimization
Journal Article
SPE Reservoir Evaluation and Engineering, ISSN 1094-6470, 12/2006, Volume 9, Issue 6, pp. 630 - 646
This paper presents a new procedure to quantify communication between vertical wells in a reservoir on the basis of fluctuations in production and injection... 
LINEAR-REGRESSION METHODOLOGY | RIDGE REGRESSION | GEOLOGY | NONORTHOGONAL PROBLEMS | ENERGY & FUELS | ENGINEERING, PETROLEUM
Journal Article
Journal of Neuroscience, ISSN 0270-6474, 09/2018, Volume 38, Issue 36, pp. 7822 - 7832
Journal Article
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