provisdom.math.neanderthal-matrix — provisdom/math 2.67

->identity-neanderthal-matrix clj

(->identity-neanderthal-matrix size)

->neanderthal-matrix clj

(->neanderthal-matrix nrows ncols)

columns clj

(columns neanderthal-mx)

Returns the number of columns.

diagonal clj

(diagonal neanderthal-mx)

fmap clj

(fmap f a)

Maps a function onto a functor.

lls clj

(lls a b)

Linear Linear Squares, solving for 'x', where a × x = b. Returns solution.

lls! clj

(lls! a b)

Linear Linear Squares, solving for 'x', where a × x = b. After destruction, a will contain factorization data, and b will contain solution. Also returns solution.

lls-with-error clj

(lls-with-error a b)

Linear Linear Squares, solving for 'x', where a × x = b. Returns map of solution, projection matrix, annihilation matrix, and the maximum likelihood estimate for the error.

lower-cholesky clj

(lower-cholesky a)

Lower * Upper = a

matrix->neanderthal-matrix clj

(matrix->neanderthal-matrix m)

mx* clj

(mx* neanderthal-mx1 neanderthal-mx2)

(mx* neanderthal-mx1 neanderthal-mx2 & more)

Matrix multiplication.

neanderthal-columns clj

(neanderthal-columns neanderthal-mx)

Returns the columns as neanderthal vectors.

neanderthal-matrix->matrix clj

(neanderthal-matrix->matrix neanderthal-mx)

(neanderthal-matrix->matrix neanderthal-mx take-nrows)

neanderthal-rows clj

(neanderthal-rows neanderthal-mx)

Returns the rows as neanderthal vectors.

neanderthal-vector->vector clj

(neanderthal-vector->vector neanderthal-v)

rows clj

(rows neanderthal-mx)

Returns the number of rows.

sv-decomposition clj

(sv-decomposition neanderthal-m)

Calculates the compact Singular Value Decomposition of a Neanderthal matrix. The Singular Value Decomposition of neanderthal-m is a set of three matrices: svd-left, singular-values, and svd-right such that: neanderthal-m = svd-left × singular-values × svd-right. Let neanderthal-m be a m × n matrix, then svd-left is a m × p orthogonal matrix of the left singular vectors, singular-values is a p × p diagonal matrix of singular values with positive or nil elements, and are ordered from largest to smallest. svd-right is a p × n orthogonal matrix of the right singular vectors where p = min(m,n). Note that: Identity Matrix = (transpose svd-left) × svd-left = svd-right × (transpose svd-right). Returns a map containing: ::svd-left -- Neanderthal matrix of left singular vectors ::singular-values -- diagonal Neanderthal Commons matrix ::svd-right -- transpose of Neanderthal matrix of right singular vectors ::rank -- rank.

transpose clj

(transpose neanderthal-mx)

vector->neanderthal-matrix clj

(vector->neanderthal-matrix rows columns v by-column?)

v is a vector of data.