Calculation of crop developmental rate using a polynomial expression with linear least squares solution

Least-squares polynomial approximation

We construct symmetric polar WAMs (Weakly Admissible Meshes) with low cardinality for least-squares polynomial approximation on the disk. These are then mapped to an arbitrary triangle. Numerical tests show that the growth of the least-squares projection uniform norm is much slower than the theoretical bound, and even slower than that of the Lebesgue constant of the best known interpolation poi...

Least-squares Polynomial Lters for Ill-conditioned Linear Systems

An important problem which arises in several applications is to nd the solution of an ill-conditioned Symmetric Semi-Positive Deenite linear system whose right-hand side is perturbed by noise. In this situation, it is desirable for the solution to be accurate in the directions of eigenvectors associated with large eigenvalues, and to have small components in the space associated with smallest e...

Least Squares Solutions of Inconsistent Fuzzy Linear Matrix Equations

Parallel Solution of Sparse Linear Least Squares Problemson Distributed - Memory

This paper studies the solution of large-scale sparse linear least squares problems on distributed-memory multiprocessors. The method of corrected semi-normal equations is considered. New block-oriented parallel algorithms are developed for solving the related sparse triangular systems. The arithmetic and communication complexities of the new algorithms applied to regular grid problems are anal...

Least squares solution of nearly square overdetermined sparse linear systems

The solution of nearly square overdetermined linear systems is studied. The sparse QR technique is compared with two sparse LU-based techniques. Numerical tests with realworld and artificial matrices indicate that the LU techniques are more accurate for incompatible right-hand sides. Also, the amount of floating point operations required by LU techniques is approximately one half smaller than Q...