fasadstation.blogg.se - Basic algebra linear regression equations

Basic algebra linear regression equations how to#
Basic algebra linear regression equations upgrade#
Basic algebra linear regression equations code#

Note that although the set of equations is linear with regards to the unknown coefficients, it can be highly non-linear with regards to the input R, G and B values, depending on the value of iTransformType which determines the type of polynome in R, G and B that will be used, e.g. Here is a piece from the Color class that actually solves 3 sets of linear equations at once (one for each R, G and B color component), resulting in a set of equations that can be used to transform color triplets from one color space to another, e.g.

Basic algebra linear regression equations code#

I just hope it is helpful to somebody, maybe as a starting class for more advanced functionality (Please let me now, so I can post enhancements back on the website) Code example I realize that this is by no means a complete BLAS class, I just implemented what I needed. Getting and settings row and columns of matrix using a vector.Matrix, vector-matrix and matrix-vector product.Scalar product of a vector-matrix product.Maximum and minimum of the elements of a vector or a matrix.

Sum and mean of elements of a vector or columns of a matrix.Element-wise addition, subtraction and scaling of vectors and matrices.

Basic algebra linear regression equations how to#

See ImproveRGBTosRGBTransform in the Color class for an example of how to use this function. Can find the parameters that minimizes a user-supplied function.

Non-linear optimization based solver, adapted from the Nelder-Mead simplex algorithm in 'Numerical recipes in C'.

Can solve over-determined systems of linear equations in a least-squares sense.

Singular value decomposition based solver, adapted from 'Numerical Recipes in C'.

Note, however that the routines translated from 'Numerical Recipes in C' are NOT very readable and shouldn't be changed (I just know they work, don't ask me how)! There are 3 basic building blocks: a scalar (single), a vector (1 dimensional array of single) and a matrix (2 dimensional array of single). Just as my Color class, this class is not written for speed, instead I hope it is clear and easy to read, and to extend (hint).

Some knowledge about linear algebra and numerical computing comes in handy. It was only a small effort to enhance the class with some basic matrix and vector algebra routines, especially with the possibility of overloading in VB.NET.

Basic algebra linear regression equations upgrade#

There are some VB libraries out there for this purpose, but because I had already converted a few Numerical Recipes routines from C to VB4 years ago, and in order to have tight integration with my Color class, I decided to upgrade these old routines to VB.NET.