Class Matrix-Blas-Dge [Tinaa]

Class Matrix-Blas-Dge

A full matrix (rows x cols) with double float matrix elements.
Executes in FFI if possible. If not it executes in lisp.

Part of:

package lisplab, class matrix-lisp-dge, class matrix-dge, class matrix-implementation-blas

Direct Superclass

matrix-implementation-blas
matrix-lisp-dge	A full matrix (rows x cols) with double float elements. Executes in lisp only.

Direct Subclass

matrix-dge	A full matrix (rows x cols) with double float matrix elements. Executes in FFI if possible. If no...

Slot

cols	Initform:0, Initargs::cols; Reader:cols; Type:type-blas-idx.
element-type	Initform:t; Reader:element-type; Allocation:class.
element-type-class-name	Initform:'matrix-element-base; Reader:element-type-class-name; Allocation:class.
element-type-spec	Initform:any; Reader:element-type-spec; Allocation:class.
implementation-class-name	Initform:'matrix-implementation-base; Reader:implementation-class-name; Allocation:class.
implementation-spec	Initform:base; Reader:implementation-spec; Allocation:class.
matrix-store	Initargs::store; Accessors:matrix-store; Type:type-blas-store.
rows	Initform:0, Initargs::rows; Reader:rows; Type:type-blas-idx.
size	Reader:size; Type:type-blas-idx.
structure-class-name	Initform:'matrix-structure-base; Reader:structure-class-name; Allocation:class.
structure-spec	Initform:base; Reader:structure-spec; Allocation:class.

Direct Method

eigenvalues	Returns the vector of eigenvalues.
eigenvectors	Returns (P d) where P is matrix of right eigenvector and d is a vector of eigenvalues.
fft1	Forward fast fourier transform on all columns
fft2	Forward fast fourier transform on all rows and columns
ifft1	Inverse fast fourier transform on all columns
ifft2	Inverse fast fourier transform on all rows and columns
lin-solve	Solves the linear system of equations Ax=b.
lin-solve!
lu-factor!	LU-factorization with pivoting. Destructive. Ouputs a combined LU matrix where the diagonals bel...
m*	Matrix multiplication.
minv	Matrix inverse.
minv!	Matrix inverse. Destructive.
rearrange-eigenvector-matrix

Other Method

./=	Generalized /=.
.<	Generalized <.
.<=	Generalized <=.
.=	Element-wise test of equality, with presition.
.>	Generalized >.
.>=	Generalized >=.
.abs	Generialized abs.
.acos	Inverse cosine function : acos(x).
.acosh	Inverse hyperbolic cosine function : acosh(x).
.add	Addes a and b elementwise. Called by .+
.asin	Inverse sine function : asin(x).
.asinh	Inverse hyperbolic sine function : asinh(x).
.atan	Inverse tangent function : atan(x).
.atanh	Inverse hyperbolic tangent function : atanh(x).
.besh1	Hankel function 1. Bessel functions of the third kind : H^(1)_n(x).
.besh2	Hankel function 2. Bessel functions of the third kind : H^(2)_n(x).
.besi	Modified Bessel functions : I_n(x).
.besj	Bessel functions of the first kind : J_n(x).
.besk	Modified Bessel functions : K_n(x).
.besy	The Neumann function. Bessel functions of the second kind : Y_n(x).
.complex	Generalized complex.
.conj	Generalized conjugate.
.cos	Cosine function : cos(x).
.cosh	Hyperbolic cosine function : cosh(x).
.div	Divides a with b elementwise. Called by ./
.erf	The error function : erf(x)
.erfc	The complementary error function : erfc(x)
.every	Generalizes every.
.exp	Exponential function : exp(x).
.expt	Rises a to power b elementwise. Called by .^
.gamma	The gamma function : gamma(x)
.im	Generialized abs.
.ln	Logarithm function
.max	Generialized max.
.min	Generialized min.
.mul	Multiplies a and b elementwise. Called by .*
.re	Generialized realpart.
.sgn	Generialized signum.
.sin	Sine function : sin(x).
.sinh	Hyperbolic sine function : sinh(x).
.some	Generalizes some
.sqr	Square.
.sqrt	Square root.
.sub	Subtracts b from a elementwise. Called by .-
.tan	Tangent function : tan(x).
.tanh	Hyperbolic tangent function : tanh(x).
circ-shift	Shifts the matrix with periodic indecices
convert	Converts the object to the specified type. Non-destructive.
copy	Copies the elements and structure, but ignore shared state, like fill pointers etc.
copy-contents	Copies all elements from a to b.
dim	Gives a list of all dimension lengths, or the length of the dimension specified.
dlmwrite	Write matrix to ASCII-delimited file or stream
export-list	Exports the elements of the matrix to a list.
fft-shift	Restructuring of Brillouin zones
ifft-shift	Inverse restructuring of Brillouin zones
import-list	Imports the elements of the matrix from a list.
lu-factor	LU-factorization with pivoting. Outputs (L U P) where L is low diagonal with unity at diagnoals,...
lu-solve!	Solves the linear equation system LUx=b, where LU is an output from LU-factor!.
m/	Short for (m* a (minv b)).
mabsmax	Retuns the matrix element with largest absolute value
mabsmin	Retuns the matrix element closest to zero
matrix-p	A matrix is a object whose elements are accesible with mref.
mcreate	Creates a new matrix of the same type and with the same value as the other, but with all element...
mcreate*	Extended version of mcreate. Creates a new matrix of the same type and with the same value as th...
mct	Matrix conjugate transpose.
mdet	Matrix determinant.
mfill	Sets each element to the value. Destructive
mmap	Generalization of map, where type = t gives output type equals type of m.
mmap-into	Generalization of map-into.
mmap-operator	Calls the operator, e.g., .add, .mul, on the elements of the matrices.
mmax	Retuns the largest matrix element
mmin	Retuns the smalles matrix element
mminmax	Retuns a list with (minumum maximum)
mref	Matrix accessor.
mreverse	Reverts elements of matrix or vector. Similar to cl:reverse
msum	Sums all matrix elements
mtp	Matrix transpose.
mtr	Matrix trace (sum of diagonal elements).
pad-shift	Shifts the matrix and pads results
rank	The rank is the number of dimensions.
reshape	Reshapes the object
setfmref
setfvref
to-matrix	Reshape the object to 2D
to-vector	Reshape the object to 1D
vcross	Cross product. Must be a vecotors of length 3
vdot	Dot product of vectors
vector-p	A vector is a object whose elements are accessible with vref.
vnorm	The vector norm
vref	Vector accessor.