Uses of Package
org.flag4j.numbers

Packages that use org.flag4j.numbers

Package	Description
org.flag4j.arrays	Provides implementations of "smart" array objects, the tensor shape object, and tuples.
org.flag4j.arrays.backend.field_arrays
org.flag4j.arrays.backend.ring_arrays
org.flag4j.arrays.backend.semiring_arrays
org.flag4j.arrays.backend.smart_visitors
org.flag4j.arrays.dense	Provides implementations for dense tensors, matrices, and vectors.
org.flag4j.arrays.sparse	Contains implementations for sparse tensors, matrices, and vectors.
org.flag4j.io.parsing
org.flag4j.linalg	General purpose linear algebra operations including condition number evaluations, eigenvalue/eigenvector computations, matrix inversion, and subspace analysis.
org.flag4j.linalg.decompositions.lu	Provides implementations of the LU decomposition for real, complex, and field matrices.
org.flag4j.linalg.decompositions.schur	Provides implementations of the Schur decomposition for real and complex matrices.
org.flag4j.linalg.decompositions.unitary	Provides abstract classes useful for implementing real or complex matrix decompositions which proceed by unitary transformations.
org.flag4j.linalg.ops	General linear algebra operations.
org.flag4j.linalg.ops.common.complex	Implementations of operations on two complex array objects.
org.flag4j.linalg.ops.common.field_ops	Implementations of operations on two Field array objects.
org.flag4j.linalg.ops.common.ring_ops	Implementations of operations on two Ring array objects.
org.flag4j.linalg.ops.common.semiring_ops	Implementations of operations on two Semiring array objects.
org.flag4j.linalg.ops.dense	Implementations of operations on generic dense array objects.
org.flag4j.linalg.ops.dense.complex	Implementations of operations on complex dense array objects.
org.flag4j.linalg.ops.dense.field_ops	Implementations of operations on Field dense array objects.
org.flag4j.linalg.ops.dense.real_field_ops	Implementations of operations between real array objects and Field dense array objects.
org.flag4j.linalg.ops.dense.ring_ops	Implementations of operations on Ring dense array objects.
org.flag4j.linalg.ops.dense.semiring_ops	Implementations of operations on Semiring dense array objects.
org.flag4j.linalg.ops.dense_sparse.coo.field_ops
org.flag4j.linalg.ops.dense_sparse.coo.real_complex
org.flag4j.linalg.ops.dense_sparse.coo.real_field_ops
org.flag4j.linalg.ops.dense_sparse.csr.field_ops
org.flag4j.linalg.ops.dense_sparse.csr.real_complex
org.flag4j.linalg.ops.dense_sparse.csr.real_field_ops
org.flag4j.linalg.ops.dense_sparse.csr.semiring_ops
org.flag4j.linalg.ops.sparse
org.flag4j.linalg.ops.sparse.coo	Implementations of operations on generic sparse COO (coordinate) array objects.
org.flag4j.linalg.ops.sparse.coo.real_complex	Implementations of operations between real and complex sparse COO (coordinate) array objects.
org.flag4j.linalg.ops.sparse.coo.ring_ops	Implementations of operations on Ring sparse COO (coordinate) array objects.
org.flag4j.linalg.ops.sparse.coo.semiring_ops	Implementations of operations on Semiring sparse COO (coordinate) array objects.
org.flag4j.linalg.ops.sparse.csr
org.flag4j.linalg.ops.sparse.csr.real_complex
org.flag4j.linalg.ops.sparse.csr.ring_ops
org.flag4j.linalg.ops.sparse.csr.semiring_ops
org.flag4j.linalg.solvers.exact.triangular	Contains solvers which solve well determined triangular linear matrix equations in an exact sense.
org.flag4j.linalg.transformations	Utility classes for computing and applying matrix and vector transformations.
org.flag4j.numbers	Provides algebraic structures such as semirings, rings, and fields, along with their concrete implementations.
org.flag4j.rng	Pseudo-random generation of real/complex numbers, and arrays, vectors, matrices, and tensors.
org.flag4j.rng.distributions	Statistical distributions useful for repeated random sampling.
org.flag4j.util	General utilities for arrays, strings, data validation, and generating error messages.

Classes in org.flag4j.numbers used by org.flag4j.arrays

Class	Description
Complex128	Represents an immutable complex number with double-precision floating point components.
Field	Defines a mathematical field structure and specifies the operations that field elements must support.
Semiring	Defines a mathematical semiring structure and specifies the operations that semiring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.arrays.backend.field_arrays

Class	Description
Field	Defines a mathematical field structure and specifies the operations that field elements must support.

Classes in org.flag4j.numbers used by org.flag4j.arrays.backend.ring_arrays

Class	Description
Ring	Defines a mathematical ring structure and specifies the operations that ring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.arrays.backend.semiring_arrays

Class	Description
Semiring	Defines a mathematical semiring structure and specifies the operations that semiring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.arrays.backend.smart_visitors

Class	Description
Field	Defines a mathematical field structure and specifies the operations that field elements must support.
Ring	Defines a mathematical ring structure and specifies the operations that ring elements must support.
Semiring	Defines a mathematical semiring structure and specifies the operations that semiring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.arrays.dense

Class	Description
Complex128	Represents an immutable complex number with double-precision floating point components.
Complex64	Represents an immutable complex number with single-precision floating point components.
Field	Defines a mathematical field structure and specifies the operations that field elements must support.
Ring	Defines a mathematical ring structure and specifies the operations that ring elements must support.
Semiring	Defines a mathematical semiring structure and specifies the operations that semiring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.arrays.sparse

Class	Description
Complex128	Represents an immutable complex number with double-precision floating point components.
Complex64	Represents an immutable complex number with single-precision floating point components.
Field	Defines a mathematical field structure and specifies the operations that field elements must support.
Ring	Defines a mathematical ring structure and specifies the operations that ring elements must support.
Semiring	Defines a mathematical semiring structure and specifies the operations that semiring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.io.parsing

Class	Description
Complex128	Represents an immutable complex number with double-precision floating point components.
Complex64	Represents an immutable complex number with single-precision floating point components.

Classes in org.flag4j.numbers used by org.flag4j.linalg

Class	Description
Complex128	Represents an immutable complex number with double-precision floating point components.
Ring	Defines a mathematical ring structure and specifies the operations that ring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.decompositions.lu

Class	Description
Field	Defines a mathematical field structure and specifies the operations that field elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.decompositions.schur

Class	Description
Complex128	Represents an immutable complex number with double-precision floating point components.

Classes in org.flag4j.numbers used by org.flag4j.linalg.decompositions.unitary

Class	Description
Complex128	Represents an immutable complex number with double-precision floating point components.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops

Class	Description
Complex128	Represents an immutable complex number with double-precision floating point components.
Ring	Defines a mathematical ring structure and specifies the operations that ring elements must support.
Semiring	Defines a mathematical semiring structure and specifies the operations that semiring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.common.complex

Class	Description
Complex128	Represents an immutable complex number with double-precision floating point components.
Complex64	Represents an immutable complex number with single-precision floating point components.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.common.field_ops

Class	Description
Field	Defines a mathematical field structure and specifies the operations that field elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.common.ring_ops

Class	Description
Ring	Defines a mathematical ring structure and specifies the operations that ring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.common.semiring_ops

Class	Description
Semiring	Defines a mathematical semiring structure and specifies the operations that semiring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.dense

Class	Description
Semiring	Defines a mathematical semiring structure and specifies the operations that semiring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.dense.complex

Class	Description
Complex128	Represents an immutable complex number with double-precision floating point components.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.dense.field_ops

Class	Description
Complex128	Represents an immutable complex number with double-precision floating point components.
Field	Defines a mathematical field structure and specifies the operations that field elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.dense.real_field_ops

Class	Description
Field	Defines a mathematical field structure and specifies the operations that field elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.dense.ring_ops

Class	Description
Ring	Defines a mathematical ring structure and specifies the operations that ring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.dense.semiring_ops

Class	Description
Semiring	Defines a mathematical semiring structure and specifies the operations that semiring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.dense_sparse.coo.field_ops

Class	Description
Field	Defines a mathematical field structure and specifies the operations that field elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.dense_sparse.coo.real_complex

Class	Description
Complex128	Represents an immutable complex number with double-precision floating point components.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.dense_sparse.coo.real_field_ops

Class	Description
Field	Defines a mathematical field structure and specifies the operations that field elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.dense_sparse.csr.field_ops

Class	Description
Field	Defines a mathematical field structure and specifies the operations that field elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.dense_sparse.csr.real_complex

Class	Description
Complex128	Represents an immutable complex number with double-precision floating point components.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.dense_sparse.csr.real_field_ops

Class	Description
Field	Defines a mathematical field structure and specifies the operations that field elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.dense_sparse.csr.semiring_ops

Class	Description
Semiring	Defines a mathematical semiring structure and specifies the operations that semiring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.sparse

Class	Description
Semiring	Defines a mathematical semiring structure and specifies the operations that semiring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.sparse.coo

Class	Description
Semiring	Defines a mathematical semiring structure and specifies the operations that semiring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.sparse.coo.real_complex

Class	Description
Complex128	Represents an immutable complex number with double-precision floating point components.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.sparse.coo.ring_ops

Class	Description
Ring	Defines a mathematical ring structure and specifies the operations that ring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.sparse.coo.semiring_ops

Class	Description
Semiring	Defines a mathematical semiring structure and specifies the operations that semiring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.sparse.csr

Class	Description
Field	Defines a mathematical field structure and specifies the operations that field elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.sparse.csr.real_complex

Class	Description
Complex128	Represents an immutable complex number with double-precision floating point components.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.sparse.csr.ring_ops

Class	Description
Ring	Defines a mathematical ring structure and specifies the operations that ring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.ops.sparse.csr.semiring_ops

Class	Description
Semiring	Defines a mathematical semiring structure and specifies the operations that semiring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.linalg.solvers.exact.triangular

Class	Description
Complex128	Represents an immutable complex number with double-precision floating point components.

Classes in org.flag4j.numbers used by org.flag4j.linalg.transformations

Class	Description
Complex128	Represents an immutable complex number with double-precision floating point components.

Classes in org.flag4j.numbers used by org.flag4j.numbers

Class	Description
BoolSemiring	Represents an immutable boolean value within a semiring structure.
Complex128	Represents an immutable complex number with double-precision floating point components.
Complex64	Represents an immutable complex number with single-precision floating point components.
Field	Defines a mathematical field structure and specifies the operations that field elements must support.
RealFloat32	Represents an immutable real number backed by a 32-bit floating-point value.
RealFloat64	Represents an immutable real number backed by a 64-bit floating-point value.
RealInt16	A real number backed by a 16-bit integer number.
RealInt32	A real number backed by a 32-bit integer number.
Ring	Defines a mathematical ring structure and specifies the operations that ring elements must support.
Semiring	Defines a mathematical semiring structure and specifies the operations that semiring elements must support.

Classes in org.flag4j.numbers used by org.flag4j.rng

Class	Description
Complex128	Represents an immutable complex number with double-precision floating point components.
Complex64	Represents an immutable complex number with single-precision floating point components.

Classes in org.flag4j.numbers used by org.flag4j.rng.distributions

Class	Description
Complex128	Represents an immutable complex number with double-precision floating point components.

Classes in org.flag4j.numbers used by org.flag4j.util

Class	Description
Complex128	Represents an immutable complex number with double-precision floating point components.
Complex64	Represents an immutable complex number with single-precision floating point components.
Field	Defines a mathematical field structure and specifies the operations that field elements must support.
Semiring	Defines a mathematical semiring structure and specifies the operations that semiring elements must support.