Regularized least squares approximations on the sphere using spherical designs

Keyphrases

• Least Squares Approximation 100%
• Spherical Designs 100%
• Regularized Least Squares 100%
• Regularization Operator 100%
• Polynomial Approximation 75%
• T-design 75%
• Well Conditions 50%
• Hyperinterpolation 50%
• Data Errors 50%
• Numerical Examples 25%
• Least Square Method 25%
• Approximation Scheme 25%
• Rotation Invariance 25%
• Linear Systems 25%
• Design Requirements 25%
• Nolinear 25%
• Linear Algebra 25%
• Quadrature Rules 25%
• Spherical Polynomials 25%
• Gram Matrix 25%
• L-2L 25%
• Approximation by Polynomials 25%
• Quasi-interpolation 25%
• Good Polynomials 25%
• Filtered Polynomial Approximation 25%
• Algebraic Problems 25%
• Discrete Least Squares 25%
• Filtered Hyperinterpolation 25%
• Laplace-Beltrami Operator 25%
• Node Set 25%
• Equal Weight 25%

Mathematics

• Regularization 100%
• Least Squares Approximation 100%
• Spherical Design 100%
• Polynomial Approximation 100%
• Interpolation 75%
• Polynomial 50%
• Set Point 50%
• Discretization 25%
• Unit Sphere 25%
• Linear System 25%
• Linear Algebra 25%
• Laplace-Beltrami Operator 25%
• Numerical Example 25%
• Gram Matrix 25%
• Least Squares Method 25%