public class CommonOps_CDRM
extends java.lang.Object
Constructor and Description |
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CommonOps_CDRM() |
Modifier and Type | Method and Description |
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static void |
add(org.ejml.data.CMatrixD1 a,
org.ejml.data.CMatrixD1 b,
org.ejml.data.CMatrixD1 c)
Performs the following operation:
c = a + b cij = aij + bij |
static org.ejml.data.CMatrixRMaj[] |
columnsToVector(org.ejml.data.CMatrixRMaj A,
org.ejml.data.CMatrixRMaj[] v)
Converts the columns in a matrix into a set of vectors.
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static void |
conjugate(org.ejml.data.CMatrixD1 input,
org.ejml.data.CMatrixD1 output)
Computes the complex conjugate of the input matrix.
reali,j = reali,j imaginaryi,j = -1*imaginaryi,j |
static void |
convert(org.ejml.data.FMatrixD1 input,
org.ejml.data.CMatrixD1 output)
Converts the real matrix into a complex matrix.
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static org.ejml.data.Complex_F32 |
det(org.ejml.data.CMatrixRMaj mat)
Returns the determinant of the matrix.
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static org.ejml.data.CMatrixRMaj |
diag(org.ejml.data.CMatrixRMaj output,
int N,
float... data) |
static org.ejml.data.CMatrixRMaj |
diag(float... data)
Creates a new square matrix whose diagonal elements are specified by data and all
the other elements are zero.
aij = 0 if i ≤ j aij = diag[i] if i = j |
static void |
elementDivide(org.ejml.data.CMatrixD1 input,
float real,
float imaginary,
org.ejml.data.CMatrixD1 output)
Performs element by element division operation with a complex number on the right
outputij = inputij / (real + imaginary*i) |
static void |
elementDivide(float real,
float imaginary,
org.ejml.data.CMatrixD1 input,
org.ejml.data.CMatrixD1 output)
Performs element by element division operation with a complex number on the right
outputij = (real + imaginary*i) / inputij |
static float |
elementMaxAbs(org.ejml.data.CMatrixRMaj a)
Returns the absolute value of the element in the matrix that has the largest absolute value.
Max{ |aij| } for all i and j |
static float |
elementMaxImaginary(org.ejml.data.CMatrixD1 a)
Returns the value of the imaginary element in the matrix that has the minimum value.
Min{ aij } for all i and j |
static float |
elementMaxMagnitude2(org.ejml.data.CMatrixD1 a)
Returns the magnitude squared of the complex element with the largest magnitude
Max{ |aij|^2 } for all i and j |
static float |
elementMaxReal(org.ejml.data.CMatrixD1 a)
Returns the value of the real element in the matrix that has the minimum value.
Min{ aij } for all i and j |
static float |
elementMinImaginary(org.ejml.data.CMatrixD1 a)
Returns the value of the imaginary element in the matrix that has the minimum value.
Min{ aij } for all i and j |
static float |
elementMinReal(org.ejml.data.CMatrixD1 a)
Returns the value of the real element in the matrix that has the minimum value.
Min{ aij } for all i and j |
static void |
elementMultiply(org.ejml.data.CMatrixD1 input,
float real,
float imaginary,
org.ejml.data.CMatrixD1 output)
Performs element by element multiplication operation with a complex numbert
outputij = inputij * (real + imaginary*i) |
static org.ejml.data.CMatrixRMaj |
extract(org.ejml.data.CMatrixRMaj src,
int srcY0,
int srcY1,
int srcX0,
int srcX1)
Creates a new matrix which is the specified submatrix of 'src'
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static void |
extract(org.ejml.data.CMatrixRMaj src,
int srcY0,
int srcY1,
int srcX0,
int srcX1,
org.ejml.data.CMatrixRMaj dst,
int dstY0,
int dstX0)
Extracts a submatrix from 'src' and inserts it in a submatrix in 'dst'.
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static void |
extractDiag(org.ejml.data.CMatrixRMaj src,
org.ejml.data.CMatrixRMaj dst)
Extracts the diagonal elements 'src' write it to the 'dst' vector.
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static void |
fill(org.ejml.data.CMatrixD1 a,
float real,
float imaginary)
Sets every element in the matrix to the specified value.
aij = value |
static org.ejml.data.CMatrixRMaj |
identity(int width)
Creates an identity matrix of the specified size.
aij = 0+0i if i ≠ j aij = 1+0i if i = j |
static org.ejml.data.CMatrixRMaj |
identity(int width,
int height)
Creates a matrix with diagonal elements set to 1 and the rest 0.
aij = 0+0i if i ≠ j aij = 1+0i if i = j |
static boolean |
invert(org.ejml.data.CMatrixRMaj A)
Performs a matrix inversion operation on the specified matrix and stores the results
in the same matrix.
a = a-1 |
static boolean |
invert(org.ejml.data.CMatrixRMaj input,
org.ejml.data.CMatrixRMaj output)
Performs a matrix inversion operation that does not modify the original
and stores the results in another matrix.
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static void |
magnitude(org.ejml.data.CMatrixD1 input,
org.ejml.data.FMatrixD1 output)
Computes the magnitude of the complex number in the input matrix and stores the results in the output
matrix.
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static void |
mult(org.ejml.data.CMatrixRMaj a,
org.ejml.data.CMatrixRMaj b,
org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = a * b cij = ∑k=1:n { * aik * bkj} |
static void |
mult(float realAlpha,
float imgAlpha,
org.ejml.data.CMatrixRMaj a,
org.ejml.data.CMatrixRMaj b,
org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = α * a * b cij = α ∑k=1:n { * aik * bkj} |
static void |
multAdd(org.ejml.data.CMatrixRMaj a,
org.ejml.data.CMatrixRMaj b,
org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = c + a * b cij = cij + ∑k=1:n { aik * bkj} |
static void |
multAdd(float realAlpha,
float imgAlpha,
org.ejml.data.CMatrixRMaj a,
org.ejml.data.CMatrixRMaj b,
org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = c + α * a * b cij = cij + α * ∑k=1:n { aik * bkj} |
static void |
multAddTransA(org.ejml.data.CMatrixRMaj a,
org.ejml.data.CMatrixRMaj b,
org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = c + aH * b cij = cij + ∑k=1:n { aki * bkj} |
static void |
multAddTransA(float realAlpha,
float imagAlpha,
org.ejml.data.CMatrixRMaj a,
org.ejml.data.CMatrixRMaj b,
org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = c + α * aH * b cij =cij + α * ∑k=1:n { aki * bkj} |
static void |
multAddTransAB(org.ejml.data.CMatrixRMaj a,
org.ejml.data.CMatrixRMaj b,
org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = c + aH * bH cij = cij + ∑k=1:n { aki * bjk} |
static void |
multAddTransAB(float realAlpha,
float imagAlpha,
org.ejml.data.CMatrixRMaj a,
org.ejml.data.CMatrixRMaj b,
org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = c + α * aH * bH cij = cij + α * ∑k=1:n { aki * bjk} |
static void |
multAddTransB(org.ejml.data.CMatrixRMaj a,
org.ejml.data.CMatrixRMaj b,
org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = c + a * bH cij = cij + ∑k=1:n { aik * bjk} |
static void |
multAddTransB(float realAlpha,
float imagAlpha,
org.ejml.data.CMatrixRMaj a,
org.ejml.data.CMatrixRMaj b,
org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = c + α * a * bH cij = cij + α * ∑k=1:n { aik * bjk} |
static void |
multTransA(org.ejml.data.CMatrixRMaj a,
org.ejml.data.CMatrixRMaj b,
org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = aH * b cij = ∑k=1:n { aki * bkj} |
static void |
multTransA(float realAlpha,
float imagAlpha,
org.ejml.data.CMatrixRMaj a,
org.ejml.data.CMatrixRMaj b,
org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = α * aH * b cij = α ∑k=1:n { aki * bkj} |
static void |
multTransAB(org.ejml.data.CMatrixRMaj a,
org.ejml.data.CMatrixRMaj b,
org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = aT * bT cij = ∑k=1:n { aki * bjk} |
static void |
multTransAB(float realAlpha,
float imagAlpha,
org.ejml.data.CMatrixRMaj a,
org.ejml.data.CMatrixRMaj b,
org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = α * aH * bH cij = α ∑k=1:n { aki * bjk} |
static void |
multTransB(org.ejml.data.CMatrixRMaj a,
org.ejml.data.CMatrixRMaj b,
org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = a * bH cij = ∑k=1:n { aik * bjk} |
static void |
multTransB(float realAlpha,
float imagAlpha,
org.ejml.data.CMatrixRMaj a,
org.ejml.data.CMatrixRMaj b,
org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = α * a * bH cij = α ∑k=1:n { aik * bjk} |
static void |
scale(float alphaReal,
float alphaImag,
org.ejml.data.CMatrixD1 a)
Performs an in-place element by element scalar multiplication.
aij = α*aij |
static void |
setIdentity(org.ejml.data.CMatrixRMaj mat)
Sets all the diagonal elements equal to one and everything else equal to zero.
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static boolean |
solve(org.ejml.data.CMatrixRMaj a,
org.ejml.data.CMatrixRMaj b,
org.ejml.data.CMatrixRMaj x)
Solves for x in the following equation:
A*x = b |
static org.ejml.data.FMatrixRMaj |
stripImaginary(org.ejml.data.CMatrixD1 input,
org.ejml.data.FMatrixRMaj output)
Places the imaginary component of the input matrix into the output matrix.
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static org.ejml.data.FMatrixRMaj |
stripReal(org.ejml.data.CMatrixD1 input,
org.ejml.data.FMatrixRMaj output)
Places the real component of the input matrix into the output matrix.
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static void |
subtract(org.ejml.data.CMatrixD1 a,
org.ejml.data.CMatrixD1 b,
org.ejml.data.CMatrixD1 c)
Performs the following operation:
c = a - b cij = aij - bij |
static void |
transpose(org.ejml.data.CMatrixRMaj mat)
Performs an "in-place" transpose.
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static org.ejml.data.CMatrixRMaj |
transpose(org.ejml.data.CMatrixRMaj input,
org.ejml.data.CMatrixRMaj output)
Transposes input matrix 'a' and stores the results in output matrix 'b':
bij = aji where 'b' is the transpose of 'a'. |
static void |
transposeConjugate(org.ejml.data.CMatrixRMaj mat)
Performs an "in-place" conjugate transpose.
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static org.ejml.data.CMatrixRMaj |
transposeConjugate(org.ejml.data.CMatrixRMaj input,
org.ejml.data.CMatrixRMaj output)
Conjugate transposes input matrix 'a' and stores the results in output matrix 'b':
b-reali,j = a-realj,i b-imaginaryi,j = -1*a-imaginaryj,i where 'b' is the transpose of 'a'. |
public static org.ejml.data.CMatrixRMaj identity(int width)
Creates an identity matrix of the specified size.
aij = 0+0i if i ≠ j
aij = 1+0i if i = j
width
- The width and height of the identity matrix.public static org.ejml.data.CMatrixRMaj identity(int width, int height)
Creates a matrix with diagonal elements set to 1 and the rest 0.
aij = 0+0i if i ≠ j
aij = 1+0i if i = j
width
- The width of the identity matrix.height
- The height of the identity matrix.public static org.ejml.data.CMatrixRMaj diag(float... data)
Creates a new square matrix whose diagonal elements are specified by data and all
the other elements are zero.
aij = 0 if i ≤ j
aij = diag[i] if i = j
data
- Contains the values of the diagonal elements of the resulting matrix.public static org.ejml.data.CMatrixRMaj diag(org.ejml.data.CMatrixRMaj output, int N, float... data)
public static void extractDiag(org.ejml.data.CMatrixRMaj src, org.ejml.data.CMatrixRMaj dst)
Extracts the diagonal elements 'src' write it to the 'dst' vector. 'dst' can either be a row or column vector.
src
- Matrix whose diagonal elements are being extracted. Not modified.dst
- A vector the results will be written into. Modified.public static void convert(org.ejml.data.FMatrixD1 input, org.ejml.data.CMatrixD1 output)
input
- Real matrix. Not modified.output
- Complex matrix. Modified.public static org.ejml.data.FMatrixRMaj stripReal(org.ejml.data.CMatrixD1 input, org.ejml.data.FMatrixRMaj output)
input
- Complex matrix. Not modified.output
- real matrix. Modified.public static org.ejml.data.FMatrixRMaj stripImaginary(org.ejml.data.CMatrixD1 input, org.ejml.data.FMatrixRMaj output)
input
- Complex matrix. Not modified.output
- real matrix. Modified.public static void magnitude(org.ejml.data.CMatrixD1 input, org.ejml.data.FMatrixD1 output)
Computes the magnitude of the complex number in the input matrix and stores the results in the output matrix.
magnitude = sqrt(real^2 + imaginary^2)input
- Complex matrix. Not modified.output
- real matrix. Modified.public static void conjugate(org.ejml.data.CMatrixD1 input, org.ejml.data.CMatrixD1 output)
Computes the complex conjugate of the input matrix.
reali,j = reali,j
imaginaryi,j = -1*imaginaryi,j
input
- Input matrix. Not modified.output
- The complex conjugate of the input matrix. Modified.public static void fill(org.ejml.data.CMatrixD1 a, float real, float imaginary)
Sets every element in the matrix to the specified value.
aij = value
a
- A matrix whose elements are about to be set. Modified.real
- The real componentimaginary
- The imaginary componentpublic static void add(org.ejml.data.CMatrixD1 a, org.ejml.data.CMatrixD1 b, org.ejml.data.CMatrixD1 c)
Performs the following operation:
c = a + b
cij = aij + bij
Matrix C can be the same instance as Matrix A and/or B.
a
- A Matrix. Not modified.b
- A Matrix. Not modified.c
- A Matrix where the results are stored. Modified.public static void subtract(org.ejml.data.CMatrixD1 a, org.ejml.data.CMatrixD1 b, org.ejml.data.CMatrixD1 c)
Performs the following operation:
c = a - b
cij = aij - bij
Matrix C can be the same instance as Matrix A and/or B.
a
- A Matrix. Not modified.b
- A Matrix. Not modified.c
- A Matrix where the results are stored. Modified.public static void scale(float alphaReal, float alphaImag, org.ejml.data.CMatrixD1 a)
Performs an in-place element by element scalar multiplication.
aij = α*aij
a
- The matrix that is to be scaled. Modified.alphaReal
- real component of scale factoralphaImag
- imaginary component of scale factorpublic static void mult(org.ejml.data.CMatrixRMaj a, org.ejml.data.CMatrixRMaj b, org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = a * b
cij = ∑k=1:n { * aik * bkj}
a
- The left matrix in the multiplication operation. Not modified.b
- The right matrix in the multiplication operation. Not modified.c
- Where the results of the operation are stored. Modified.public static void mult(float realAlpha, float imgAlpha, org.ejml.data.CMatrixRMaj a, org.ejml.data.CMatrixRMaj b, org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = α * a * b
cij = α ∑k=1:n { * aik * bkj}
realAlpha
- real component of scaling factor.imgAlpha
- imaginary component of scaling factor.a
- The left matrix in the multiplication operation. Not modified.b
- The right matrix in the multiplication operation. Not modified.c
- Where the results of the operation are stored. Modified.public static void multAdd(org.ejml.data.CMatrixRMaj a, org.ejml.data.CMatrixRMaj b, org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = c + a * b
cij = cij + ∑k=1:n { aik * bkj}
a
- The left matrix in the multiplication operation. Not modified.b
- The right matrix in the multiplication operation. Not modified.c
- Where the results of the operation are stored. Modified.public static void multAdd(float realAlpha, float imgAlpha, org.ejml.data.CMatrixRMaj a, org.ejml.data.CMatrixRMaj b, org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = c + α * a * b
cij = cij + α * ∑k=1:n { aik * bkj}
realAlpha
- real component of scaling factor.imgAlpha
- imaginary component of scaling factor.a
- The left matrix in the multiplication operation. Not modified.b
- The right matrix in the multiplication operation. Not modified.c
- Where the results of the operation are stored. Modified.public static void multTransA(org.ejml.data.CMatrixRMaj a, org.ejml.data.CMatrixRMaj b, org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = aH * b
cij = ∑k=1:n { aki * bkj}
a
- The left matrix in the multiplication operation. Not modified.b
- The right matrix in the multiplication operation. Not modified.c
- Where the results of the operation are stored. Modified.public static void multTransA(float realAlpha, float imagAlpha, org.ejml.data.CMatrixRMaj a, org.ejml.data.CMatrixRMaj b, org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = α * aH * b
cij = α ∑k=1:n { aki * bkj}
realAlpha
- Real component of scaling factor.imagAlpha
- Imaginary component of scaling factor.a
- The left matrix in the multiplication operation. Not modified.b
- The right matrix in the multiplication operation. Not modified.c
- Where the results of the operation are stored. Modified.public static void multTransB(org.ejml.data.CMatrixRMaj a, org.ejml.data.CMatrixRMaj b, org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = a * bH
cij = ∑k=1:n { aik * bjk}
a
- The left matrix in the multiplication operation. Not modified.b
- The right matrix in the multiplication operation. Not modified.c
- Where the results of the operation are stored. Modified.public static void multTransB(float realAlpha, float imagAlpha, org.ejml.data.CMatrixRMaj a, org.ejml.data.CMatrixRMaj b, org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = α * a * bH
cij = α ∑k=1:n { aik * bjk}
realAlpha
- Real component of scaling factor.imagAlpha
- Imaginary component of scaling factor.a
- The left matrix in the multiplication operation. Not modified.b
- The right matrix in the multiplication operation. Not modified.c
- Where the results of the operation are stored. Modified.public static void multTransAB(org.ejml.data.CMatrixRMaj a, org.ejml.data.CMatrixRMaj b, org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = aT * bT
cij = ∑k=1:n { aki * bjk}
a
- The left matrix in the multiplication operation. Not modified.b
- The right matrix in the multiplication operation. Not modified.c
- Where the results of the operation are stored. Modified.public static void multTransAB(float realAlpha, float imagAlpha, org.ejml.data.CMatrixRMaj a, org.ejml.data.CMatrixRMaj b, org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = α * aH * bH
cij = α ∑k=1:n { aki * bjk}
realAlpha
- Real component of scaling factor.imagAlpha
- Imaginary component of scaling factor.a
- The left matrix in the multiplication operation. Not modified.b
- The right matrix in the multiplication operation. Not modified.c
- Where the results of the operation are stored. Modified.public static void multAddTransA(org.ejml.data.CMatrixRMaj a, org.ejml.data.CMatrixRMaj b, org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = c + aH * b
cij = cij + ∑k=1:n { aki * bkj}
a
- The left matrix in the multiplication operation. Not modified.b
- The right matrix in the multiplication operation. Not modified.c
- Where the results of the operation are stored. Modified.public static void multAddTransA(float realAlpha, float imagAlpha, org.ejml.data.CMatrixRMaj a, org.ejml.data.CMatrixRMaj b, org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = c + α * aH * b
cij =cij + α * ∑k=1:n { aki * bkj}
realAlpha
- Real component of scaling factor.imagAlpha
- Imaginary component of scaling factor.a
- The left matrix in the multiplication operation. Not modified.b
- The right matrix in the multiplication operation. Not modified.c
- Where the results of the operation are stored. Modified.public static void multAddTransB(org.ejml.data.CMatrixRMaj a, org.ejml.data.CMatrixRMaj b, org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = c + a * bH
cij = cij + ∑k=1:n { aik * bjk}
a
- The left matrix in the multiplication operation. Not modified.b
- The right matrix in the multiplication operation. Not modified.c
- Where the results of the operation are stored. Modified.public static void multAddTransB(float realAlpha, float imagAlpha, org.ejml.data.CMatrixRMaj a, org.ejml.data.CMatrixRMaj b, org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = c + α * a * bH
cij = cij + α * ∑k=1:n { aik * bjk}
realAlpha
- Real component of scaling factor.imagAlpha
- Imaginary component of scaling factor.a
- The left matrix in the multiplication operation. Not modified.b
- The right matrix in the multiplication operation. Not modified.c
- Where the results of the operation are stored. Modified.public static void multAddTransAB(org.ejml.data.CMatrixRMaj a, org.ejml.data.CMatrixRMaj b, org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = c + aH * bH
cij = cij + ∑k=1:n { aki * bjk}
a
- The left matrix in the multiplication operation. Not Modified.b
- The right matrix in the multiplication operation. Not Modified.c
- Where the results of the operation are stored. Modified.public static void multAddTransAB(float realAlpha, float imagAlpha, org.ejml.data.CMatrixRMaj a, org.ejml.data.CMatrixRMaj b, org.ejml.data.CMatrixRMaj c)
Performs the following operation:
c = c + α * aH * bH
cij = cij + α * ∑k=1:n { aki * bjk}
realAlpha
- Real component of scaling factor.imagAlpha
- Imaginary component of scaling factor.a
- The left matrix in the multiplication operation. Not Modified.b
- The right matrix in the multiplication operation. Not Modified.c
- Where the results of the operation are stored. Modified.public static void transpose(org.ejml.data.CMatrixRMaj mat)
Performs an "in-place" transpose.
For square matrices the transpose is truly in-place and does not require
additional memory. For non-square matrices, internally a temporary matrix is declared and
transpose(CMatrixRMaj, CMatrixRMaj)
is invoked.
mat
- The matrix that is to be transposed. Modified.public static void transposeConjugate(org.ejml.data.CMatrixRMaj mat)
Performs an "in-place" conjugate transpose.
mat
- The matrix that is to be transposed. Modified.transpose(CMatrixRMaj)
public static org.ejml.data.CMatrixRMaj transpose(org.ejml.data.CMatrixRMaj input, org.ejml.data.CMatrixRMaj output)
Transposes input matrix 'a' and stores the results in output matrix 'b':
bij = aji
where 'b' is the transpose of 'a'.
input
- The original matrix. Not modified.output
- Where the transpose is stored. If null a new matrix is created. Modified.public static org.ejml.data.CMatrixRMaj transposeConjugate(org.ejml.data.CMatrixRMaj input, org.ejml.data.CMatrixRMaj output)
Conjugate transposes input matrix 'a' and stores the results in output matrix 'b':
b-reali,j = a-realj,i
b-imaginaryi,j = -1*a-imaginaryj,i
where 'b' is the transpose of 'a'.
input
- The original matrix. Not modified.output
- Where the transpose is stored. If null a new matrix is created. Modified.public static boolean invert(org.ejml.data.CMatrixRMaj A)
Performs a matrix inversion operation on the specified matrix and stores the results
in the same matrix.
a = a-1
If the algorithm could not invert the matrix then false is returned. If it returns true that just means the algorithm finished. The results could still be bad because the matrix is singular or nearly singular.
A
- The matrix that is to be inverted. Results are stored here. Modified.public static boolean invert(org.ejml.data.CMatrixRMaj input, org.ejml.data.CMatrixRMaj output)
Performs a matrix inversion operation that does not modify the original
and stores the results in another matrix. The two matrices must have the
same dimension.
b = a-1
If the algorithm could not invert the matrix then false is returned. If it returns true that just means the algorithm finished. The results could still be bad because the matrix is singular or nearly singular.
For medium to large matrices there might be a slight performance boost to using
LinearSolverFactory_CDRM
instead.
input
- The matrix that is to be inverted. Not modified.output
- Where the inverse matrix is stored. Modified.public static boolean solve(org.ejml.data.CMatrixRMaj a, org.ejml.data.CMatrixRMaj b, org.ejml.data.CMatrixRMaj x)
Solves for x in the following equation:
A*x = b
If the system could not be solved then false is returned. If it returns true that just means the algorithm finished operating, but the results could still be bad because 'A' is singular or nearly singular.
If repeat calls to solve are being made then one should consider using LinearSolverFactory_CDRM
instead.
It is ok for 'b' and 'x' to be the same matrix.
a
- A matrix that is m by n. Not modified.b
- A matrix that is n by k. Not modified.x
- A matrix that is m by k. Modified.public static org.ejml.data.Complex_F32 det(org.ejml.data.CMatrixRMaj mat)
LUDecompositionAlt_CDRM
directly (or any
similar algorithm) can be more efficient.mat
- The matrix whose determinant is to be computed. Not modified.public static void elementMultiply(org.ejml.data.CMatrixD1 input, float real, float imaginary, org.ejml.data.CMatrixD1 output)
Performs element by element multiplication operation with a complex numbert
outputij = inputij * (real + imaginary*i)
input
- The left matrix in the multiplication operation. Not modified.real
- Real component of the number it is multiplied byimaginary
- Imaginary component of the number it is multiplied byoutput
- Where the results of the operation are stored. Modified.public static void elementDivide(org.ejml.data.CMatrixD1 input, float real, float imaginary, org.ejml.data.CMatrixD1 output)
Performs element by element division operation with a complex number on the right
outputij = inputij / (real + imaginary*i)
input
- The left matrix in the multiplication operation. Not modified.real
- Real component of the number it is multiplied byimaginary
- Imaginary component of the number it is multiplied byoutput
- Where the results of the operation are stored. Modified.public static void elementDivide(float real, float imaginary, org.ejml.data.CMatrixD1 input, org.ejml.data.CMatrixD1 output)
Performs element by element division operation with a complex number on the right
outputij = (real + imaginary*i) / inputij
real
- Real component of the number it is multiplied byimaginary
- Imaginary component of the number it is multiplied byinput
- The right matrix in the multiplication operation. Not modified.output
- Where the results of the operation are stored. Modified.public static float elementMinReal(org.ejml.data.CMatrixD1 a)
Returns the value of the real element in the matrix that has the minimum value.
Min{ aij } for all i and j
a
- A matrix. Not modified.public static float elementMinImaginary(org.ejml.data.CMatrixD1 a)
Returns the value of the imaginary element in the matrix that has the minimum value.
Min{ aij } for all i and j
a
- A matrix. Not modified.public static float elementMaxReal(org.ejml.data.CMatrixD1 a)
Returns the value of the real element in the matrix that has the minimum value.
Min{ aij } for all i and j
a
- A matrix. Not modified.public static float elementMaxImaginary(org.ejml.data.CMatrixD1 a)
Returns the value of the imaginary element in the matrix that has the minimum value.
Min{ aij } for all i and j
a
- A matrix. Not modified.public static float elementMaxMagnitude2(org.ejml.data.CMatrixD1 a)
Returns the magnitude squared of the complex element with the largest magnitude
Max{ |aij|^2 } for all i and j
a
- A matrix. Not modified.public static void setIdentity(org.ejml.data.CMatrixRMaj mat)
mat
- A square matrix.public static org.ejml.data.CMatrixRMaj extract(org.ejml.data.CMatrixRMaj src, int srcY0, int srcY1, int srcX0, int srcX1)
Creates a new matrix which is the specified submatrix of 'src'
si-y0 , j-x0 = oij for all y0 ≤ i < y1 and x0 ≤ j < x1
where 'sij' is an element in the submatrix and 'oij' is an element in the
original matrix.
src
- The original matrix which is to be copied. Not modified.srcX0
- Start column.srcX1
- Stop column+1.srcY0
- Start row.srcY1
- Stop row+1.public static void extract(org.ejml.data.CMatrixRMaj src, int srcY0, int srcY1, int srcX0, int srcX1, org.ejml.data.CMatrixRMaj dst, int dstY0, int dstX0)
Extracts a submatrix from 'src' and inserts it in a submatrix in 'dst'.
si-y0 , j-x0 = oij for all y0 ≤ i < y1 and x0 ≤ j < x1
where 'sij' is an element in the submatrix and 'oij' is an element in the
original matrix.
src
- The original matrix which is to be copied. Not modified.srcX0
- Start column.srcX1
- Stop column+1.srcY0
- Start row.srcY1
- Stop row+1.dst
- Where the submatrix are stored. Modified.dstY0
- Start row in dst.dstX0
- start column in dst.public static org.ejml.data.CMatrixRMaj[] columnsToVector(org.ejml.data.CMatrixRMaj A, org.ejml.data.CMatrixRMaj[] v)
A
- Matrix. Not modified.v
- Optional storage for columns.public static float elementMaxAbs(org.ejml.data.CMatrixRMaj a)
Returns the absolute value of the element in the matrix that has the largest absolute value.
Max{ |aij| } for all i and j
a
- A matrix. Not modified.