sicmutils.matrix — net.littleredcomputer/sicmutils 0.12.0

*careful-conversion* clj

->structure clj

(->structure m outer-orientation inner-orientation t?)

Convert m to a structure with given outer and inner orientations. Rows of M will become the inner tuples, unless t? is true, in which columns of m will form the inner tuples.

by-rows clj

(by-rows & rs)

characteristic-polynomial clj

(characteristic-polynomial m x)

Compute the characteristic polynomial of the square matrix m, evaluated at x. Typically x will be a dummy variable, but if you wanted to get the value of the characteristic polynomial at some particular point, you could supply a different expression.

cofactors clj

(cofactors m)

Computes the matrix of cofactors of the given structure with the same shape, if s is square.

column clj

(column & es)

determinant clj

(determinant m)

Computes the determinant of m, which must be square. Generic operations are used, so this works on symbolic square matrix.

dimension clj

(dimension m)

fmap clj

(fmap f m)

Maps f over the elements of m, returning an object of the same type.

generate clj

(generate r c f)

Create the r by c matrix whose entries are (f i j)

get-in clj

(get-in m is)

Like get-in for matrices, but obeying the scmutils convention: only one index is required to get an unboxed element from a column vector. This is perhaps an unprincipled exception...

I clj

(I n)

Return the identity matrix of order n.

invert clj

(invert m)

Computes the inverse of a square matrix.

m->s clj

(m->s ls m rs)

Convert the matrix m into a structure S, guided by the requirement that (* ls S rs) should be a scalar

matrix-some clj

(matrix-some f m)

True if f is true for some element of m.

matrix? clj

(matrix? m)

nth-col clj

(nth-col m j)

s->m clj

(s->m ls ms rs)

Convert the structure ms, which would be a scalar if the (compatible) multiplication (* ls ms rs) were performed, to a matrix.

s:inverse clj

(s:inverse ls ms rs)

s:transpose clj

(s:transpose ls ms rs)

seq-> clj

(seq-> s)

Convert a sequence (typically, of function arguments) to an up-structure. GJS: Any matrix in the argument list wants to be converted to a row of columns

square-structure-> clj

(square-structure-> s k)

Converts the square structure s into a matrix, and calls the continuation with that matrix and a function which will restore a matrix to a structure with the same inner and outer orientations as s.

square-structure-operation clj

(square-structure-operation s f)

Applies matrix operation f to square structure s, returning a structure of the same type as that given.

transpose clj

(transpose m)

Transpose the matrix m.

without clj

(without m i j)

The matrix formed by deleting the i'th row and j'th column of the given matrix.