dense Directory Reference

Containers and algorithms for dense linear algebra. [tutorial] .

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Directory dependency graph for dense:

Files
file	axpy.h [code]
	BLAS1 vector-vector add.
file	bdsqr.h [code]
	Computes all singular triples (u,s,v) of a real bidiagonal matrix.
file	bothcat.h [code]
	Routines to concatenate Matrix's in two-by-two fashion.
file	conjugate.h [code]
	Returns a conjugated copy of a Matrix or Vector. Or, conjugate one inplace.
file	copy.h [code]
	BLAS1 vector copy.
file	csvread.h [code]
	Routines to load various containers from .csv files.
file	csvwrite.h [code]
	Routines to save various containers to .csv files.
file	diag.h [code]
	Returns the diagonal of a dense Matrix or LowerMatrix.
file	diagcat.h [code]
	Routines to concatenate Matrix's in diagonal fashion.
file	DiagonalMatrix.h [code]
	Container for a diagonal matrix, O(n) storage. Used by SVD, row/column scaling, etc.
file	DiagonalMatrixRange.h [code]
	Interface class for representing subranges of DiagonalMatrix's.
file	dimm.h [code]
	Routines for multiplying by a DiagonalMatrix.
file	dot.h [code]
	Routines for inner products of Vector's / VectorRange's.
file	euclidean.h [code]
	Routines for computing euclidean norm of a Vector/VectorRange, or normalizing a Vector/VectorRange to unit euclidean length.
file	expr.h [code]
	Overloads expr() for Matrix<Number>, LowerMatrix<Number>, Vector<Number> and DiagonalMatrix<Number>
file	flip.h [code]
	Routines for flipping (reversing) dense Vector's, Matrix's, etc.
file	frobenius.h [code]
	Routines for computing Frobenius norms of various algebraic containers.
file	gebrd.h [code]
	Householder bidiagonalization of a general Matrix.
file	geevd.h [code]
	Computes all eigenpairs of general Matrix.
file	gelqf.h [code]
	Routines to compute a Householder LQ decomposition.
file	gemm.h [code]
	Variety of routines all for dense Matrix*Matrix multiplies. Delegates to the BLAS.
file	gemv.h [code]
	Variety of routines all for dense Matrix*Vector multiplies. All just delegate to gemm()
file	geqpf.h [code]
	Routines to compute a column-pivoted Householder QR decomposition.
file	geqrf.h [code]
	Routines to compute a Householder QR decomposition.
file	gesvd.h [code]
	Routines for computing singular value decompositions.
file	getrf.h [code]
	General purpose A = P'*L*U decomposition for square Matrix's.
file	gramschmidt.h [code]
	Routines for orthogonalizing column vectors via classical and modified gram-schmidt.
file	heev.h [code]
	Computes all eigenpairs of complex hermitian Matrix.
file	hemm.h [code]
	Routines for hermitian Matrix * dense Matrix multiplication.
file	her2k.h [code]
	Routines for hermitian rank-2k updates, a specialized form of Matrix*Matrix multiplication.
file	herk.h [code]
	Routines for hermitian rank-k updates, a specialized form of Matrix*Matrix multiplication.
file	hermitian.h [code]
	Returns a hermitian copy of a Matrix. The inplace version only works on a square operand.
file	hetrd.h [code]
	Householder tridiagonalization of a complex hermitian Matrix.
file	hetrf.h [code]
	LDL' decompositions for real hermitian Matrix A (indefinite is fine).
file	horzcat.h [code]
	Routines to concatenate Matrix's in left/right fashion.
file	intRange.h [code]
	Interface class for representing subranges of contiguous int's.
file	inverse.h [code]
	Overwrites a LowerMatrix, DiagonalMatrix, or square Matrix with its own inverse. Or, returns it as a copy.
file	jacobi.h [code]
	Jacobi methods for real symmetric eigendecomposition.
file	LDLSwaps.h [code]
	Pivoting metadata for LDL'-type factorizations.
file	lower_precision.h [code]
	Routines for copying and lowering the precision of a container.
file	LowerMatrix.h [code]
	Specialized container for a lower triangular matrix, O(N^2/2) storage. Used by symmetry exploiting matrix decompositions (Cholesky, LDL')
file	LowerMatrixRange.h [code]
	Range construct for a lower triangular matrix stored in rectangular packed format.
file	lqt.h [code]
	Given the scalar reflectors [V,tau] from gelqf(), forms the T of the equivalent block reflector I-V'*T*V Semantically equivalent to dlarft('F'orward,'R'owwise), but put into the lower triangle instead of upper.
file	LUSolver.h [code]
	General purpose linear solver, no symmetry/definiteness assumptions upon A (just square)
file	Matrix.h [code]
	General purpose dense matrix container, O(i*j) storage.
file	Matrix22.h [code]
	Matrix type with fixed size of 2x2, algorithms that operate upon them.
file	MatrixRange.h [code]
	Interface class for representing subranges of dense Matrix's.
file	minmax.h [code]
	Routines to find the extremal values of a Matrix or Vector.
file	nullspace.h [code]
	Returns orthonormal basis for the nullspace of A, such that A*null(A) = 0.
file	orglq.h [code]
	Routines to reconstruct a Householder Q, as previously factored via gelqf_inplace()
file	orgqr.h [code]
	Routines to reconstruct a Householder Q, as previously factored via geqrf_inplace()
file	ormlq.h [code]
	Routines to apply a Householder Q, as previously factored via gelqf_inplace()
file	ormqr.h [code]
	Routines to apply a Householder Q, as previously factored via geqrf_inplace()
file	pinv.h [code]
	Returns Moore-Penrose pseudoinverse of A.
file	PivotMatrix.h [code]
	A collection of pivot Matrix22's used within L*D*op(L)-factorizations (sytrf, hetrf).
file	potrf.h [code]
	Cholesky factorization routines for positive definite matrices.
file	QRSolver.h [code]
	Solves full-rank least squares problems, argmin x |A*x-b|, where A.I >= A.J (tall/skinny).
file	qrt.h [code]
	Given the scalar reflectors [V,tau] from geqrf(), forms the T of the equivalent block reflector I-V*T*V' Semantically equivalent to dlarft('F'orward,'C'olumnwise)
file	raise_precision.h [code]
	Routines for copying and raising the precision of a container.
file	rangespace.h [code]
	Returns orthonormal basis for the range of A.
file	RCholeskySolver.h [code]
	A solver suitable for a real symmetric positive definite Matrix.
file	RLDLTSolver.h [code]
	A solver suitable for a real symmetric Matrix (indefinite is fine). Encapsulates sytrf()
file	rotate.h [code]
	Computes a plane rotation, either single sided (rotate1) or double sided (rotate2).
file	scal.h [code]
	BLAS1 vector scale.
file	stev.h [code]
	Computes all eigenpairs of real symmetric tridiagonal matrix.
file	swaps.h [code]
	Routines related to swap sequences, often used during pivoting.
file	swizzle.h [code]
	Wonkish routines for rearranging a complex Range into two real Range's, and back again.
file	syev.h [code]
	Computes all eigenpairs of real symmetric Matrix.
file	symm.h [code]
	Routines for symmetric Matrix * dense Matrix multiplication.
file	syr2k.h [code]
	Routines for symmetric rank-2k updates, a specialized form of Matrix*Matrix multiplication.
file	syrk.h [code]
	Routines for symmetric rank-k updates, a specialized form of Matrix*Matrix multiplication.
file	sytrd.h [code]
	Householder tridiagonalization of a real symmetric Matrix.
file	sytrf.h [code]
	LDL' decompositions for real symmetric Matrix A (indefinite is fine).
file	threshold.h [code]
	Replaces small values with explicit zeros.
file	transpose.h [code]
	Returns a transposed copy of a Matrix. The inplace version only works on a square operand.
file	tril.h [code]
	Returns the lower triangle of a dense Matrix.
file	triu.h [code]
	Returns the upper triangle of a dense Matrix.
file	trmm.h [code]
	Routines for multiplying by a triangular Matrix or LowerMatrix.
file	trmv.h [code]
	Variety of routines all for triangular Matrix*Vector multiplies. All just delegate to trmm()
file	trsm.h [code]
	Routines for backsolving by a triangular Matrix or LowerMatrix.
file	trsv.h [code]
	Variety of routines all for triangular Matrix solves. All just delegate to trsm()
file	Vector.h [code]
	Container for either a column vector or row vector (depends upon the usage context)
file	vectorcat.h [code]
	Routines to concatenate Vector's.
file	VectorRange.h [code]
	Interface class for representing subranges of dense Vector's.
file	vertcat.h [code]
	Routines to concatenate Matrix's in top/bottom fashion.
file	ZCholeskySolver.h [code]
	A solver suitable for a complex hermitian positive definite Matrix.
file	ZLDLHSolver.h [code]
	A solver suitable for a complex hermitian Matrix (indefinite is fine). Encapsulates hetrf()
file	ZLDLTSolver.h [code]
	A solver suitable for a complex symmetric Matrix (indefinite is fine). Encapsulates sytrf()

Detailed Description

Containers and algorithms for dense linear algebra. [tutorial] .