dolfinx.cpp.la

Linear algebra module

Functions

`inner_product`(args, *kwargs)	Overloaded function.
`is_orthonormal`(args, *kwargs)	Overloaded function.
`orthonormalize`(args, *kwargs)	Overloaded function.

Classes

`BlockMode`(self, value)	Members:
`InsertMode`(self, value)	Members:
`MatrixCSR_complex128`(self, p, block_mode)
`MatrixCSR_complex64`(self, p, block_mode)
`MatrixCSR_float32`(self, p, block_mode)
`MatrixCSR_float64`(self, p, block_mode)
`Norm`(self, value)	Members:
`SparsityPattern`(args, *kwargs)	Overloaded function.
`Vector_complex128`(args, *kwargs)	Overloaded function.
`Vector_complex64`(args, *kwargs)	Overloaded function.
`Vector_float32`(args, *kwargs)	Overloaded function.
`Vector_float64`(args, *kwargs)	Overloaded function.

class dolfinx.cpp.la.BlockMode(self: dolfinx.cpp.la.BlockMode, value: int)

Bases: pybind11_object

Members:

compact

expanded

compact = <BlockMode.compact: 0>

expanded = <BlockMode.expanded: 1>

property name

property value

class dolfinx.cpp.la.InsertMode(self: dolfinx.cpp.la.InsertMode, value: int)

Bases: pybind11_object

Members:

add

insert

add = <InsertMode.add: 0>

insert = <InsertMode.insert: 1>

property name

property value

class dolfinx.cpp.la.MatrixCSR_complex128(self: dolfinx.cpp.la.MatrixCSR_complex128, p: dolfinx.cpp.la.SparsityPattern, block_mode: dolfinx.cpp.la.BlockMode)

Bases: pybind11_object

add(self: dolfinx.cpp.la.MatrixCSR_complex128, arg0: List[complex], arg1: List[int], arg2: List[int], arg3: int) → None

property bs

property data

property dtype

index_map(self: dolfinx.cpp.la.MatrixCSR_complex128, arg0: int) → dolfinx.cpp.common.IndexMap

property indices

property indptr

scatter_rev_begin(self: dolfinx.cpp.la.MatrixCSR_complex128) → None

scatter_rev_end(self: dolfinx.cpp.la.MatrixCSR_complex128) → None

scatter_reverse(self: dolfinx.cpp.la.MatrixCSR_complex128) → None

set(self: dolfinx.cpp.la.MatrixCSR_complex128, arg0: List[complex], arg1: List[int], arg2: List[int], arg3: int) → None

set_value(self: dolfinx.cpp.la.MatrixCSR_complex128, x: complex) → None

squared_norm(self: dolfinx.cpp.la.MatrixCSR_complex128) → float

to_dense(self: dolfinx.cpp.la.MatrixCSR_complex128) → numpy.ndarray[numpy.complex128]

class dolfinx.cpp.la.MatrixCSR_complex64(self: dolfinx.cpp.la.MatrixCSR_complex64, p: dolfinx.cpp.la.SparsityPattern, block_mode: dolfinx.cpp.la.BlockMode)

Bases: pybind11_object

add(self: dolfinx.cpp.la.MatrixCSR_complex64, arg0: List[complex], arg1: List[int], arg2: List[int], arg3: int) → None

property bs

property data

property dtype

index_map(self: dolfinx.cpp.la.MatrixCSR_complex64, arg0: int) → dolfinx.cpp.common.IndexMap

property indices

property indptr

scatter_rev_begin(self: dolfinx.cpp.la.MatrixCSR_complex64) → None

scatter_rev_end(self: dolfinx.cpp.la.MatrixCSR_complex64) → None

scatter_reverse(self: dolfinx.cpp.la.MatrixCSR_complex64) → None

set(self: dolfinx.cpp.la.MatrixCSR_complex64, arg0: List[complex], arg1: List[int], arg2: List[int], arg3: int) → None

set_value(self: dolfinx.cpp.la.MatrixCSR_complex64, x: complex) → None

squared_norm(self: dolfinx.cpp.la.MatrixCSR_complex64) → float

to_dense(self: dolfinx.cpp.la.MatrixCSR_complex64) → numpy.ndarray[numpy.complex64]

class dolfinx.cpp.la.MatrixCSR_float32(self: dolfinx.cpp.la.MatrixCSR_float32, p: dolfinx.cpp.la.SparsityPattern, block_mode: dolfinx.cpp.la.BlockMode)

Bases: pybind11_object

add(self: dolfinx.cpp.la.MatrixCSR_float32, arg0: List[float], arg1: List[int], arg2: List[int], arg3: int) → None

property bs

property data

property dtype

index_map(self: dolfinx.cpp.la.MatrixCSR_float32, arg0: int) → dolfinx.cpp.common.IndexMap

property indices

property indptr

scatter_rev_begin(self: dolfinx.cpp.la.MatrixCSR_float32) → None

scatter_rev_end(self: dolfinx.cpp.la.MatrixCSR_float32) → None

scatter_reverse(self: dolfinx.cpp.la.MatrixCSR_float32) → None

set(self: dolfinx.cpp.la.MatrixCSR_float32, arg0: List[float], arg1: List[int], arg2: List[int], arg3: int) → None

set_value(self: dolfinx.cpp.la.MatrixCSR_float32, x: float) → None

squared_norm(self: dolfinx.cpp.la.MatrixCSR_float32) → float

to_dense(self: dolfinx.cpp.la.MatrixCSR_float32) → numpy.ndarray[numpy.float32]

class dolfinx.cpp.la.MatrixCSR_float64(self: dolfinx.cpp.la.MatrixCSR_float64, p: dolfinx.cpp.la.SparsityPattern, block_mode: dolfinx.cpp.la.BlockMode)

Bases: pybind11_object

add(self: dolfinx.cpp.la.MatrixCSR_float64, arg0: List[float], arg1: List[int], arg2: List[int], arg3: int) → None

property bs

property data

property dtype

index_map(self: dolfinx.cpp.la.MatrixCSR_float64, arg0: int) → dolfinx.cpp.common.IndexMap

property indices

property indptr

scatter_rev_begin(self: dolfinx.cpp.la.MatrixCSR_float64) → None

scatter_rev_end(self: dolfinx.cpp.la.MatrixCSR_float64) → None

scatter_reverse(self: dolfinx.cpp.la.MatrixCSR_float64) → None

set(self: dolfinx.cpp.la.MatrixCSR_float64, arg0: List[float], arg1: List[int], arg2: List[int], arg3: int) → None

set_value(self: dolfinx.cpp.la.MatrixCSR_float64, x: float) → None

squared_norm(self: dolfinx.cpp.la.MatrixCSR_float64) → float

to_dense(self: dolfinx.cpp.la.MatrixCSR_float64) → numpy.ndarray[numpy.float64]

class dolfinx.cpp.la.Norm(self: dolfinx.cpp.la.Norm, value: int)

Bases: pybind11_object

Members:

l1

l2

linf

frobenius

frobenius = <Norm.frobenius: 3>

l1 = <Norm.l1: 0>

l2 = <Norm.l2: 1>

linf = <Norm.linf: 2>

property name

property value

class dolfinx.cpp.la.SparsityPattern(*args, **kwargs)

Bases: pybind11_object

Overloaded function.

__init__(self: dolfinx.cpp.la.SparsityPattern, comm: MPICommWrapper, maps: Annotated[List[dolfinx.cpp.common.IndexMap], FixedSize(2)], bs: Annotated[List[int], FixedSize(2)]) -> None
__init__(self: dolfinx.cpp.la.SparsityPattern, comm: MPICommWrapper, patterns: List[List[dolfinx.cpp.la.SparsityPattern]], maps: Annotated[List[List[Tuple[dolfinx.cpp.common.IndexMap, int]]], FixedSize(2)], bs: Annotated[List[List[int]], FixedSize(2)]) -> None

column_index_map(self: dolfinx.cpp.la.SparsityPattern) → dolfinx.cpp.common.IndexMap

finalize(self: dolfinx.cpp.la.SparsityPattern) → None

property graph

index_map(self: dolfinx.cpp.la.SparsityPattern, dim: int) → dolfinx.cpp.common.IndexMap

insert(self: dolfinx.cpp.la.SparsityPattern, rows: numpy.ndarray[numpy.int32], cols: numpy.ndarray[numpy.int32]) → None

insert_diagonal(self: dolfinx.cpp.la.SparsityPattern, rows: numpy.ndarray[numpy.int32]) → None

property num_nonzeros

class dolfinx.cpp.la.Vector_complex128(*args, **kwargs)

Bases: pybind11_object

Overloaded function.

__init__(self: dolfinx.cpp.la.Vector_complex128, map: dolfinx.cpp.common.IndexMap, bs: int) -> None
__init__(self: dolfinx.cpp.la.Vector_complex128, vec: dolfinx.cpp.la.Vector_complex128) -> None

property array

property bs

property dtype

property index_map

norm(self: dolfinx.cpp.la.Vector_complex128, type: dolfinx.cpp.la.Norm = <Norm.l2: 1>) → float

scatter_forward(self: dolfinx.cpp.la.Vector_complex128) → None

scatter_reverse(self: dolfinx.cpp.la.Vector_complex128, mode: dolfinx.cpp.la.InsertMode) → None

class dolfinx.cpp.la.Vector_complex64(*args, **kwargs)

Bases: pybind11_object

Overloaded function.

__init__(self: dolfinx.cpp.la.Vector_complex64, map: dolfinx.cpp.common.IndexMap, bs: int) -> None
__init__(self: dolfinx.cpp.la.Vector_complex64, vec: dolfinx.cpp.la.Vector_complex64) -> None

property array

property bs

property dtype

property index_map

norm(self: dolfinx.cpp.la.Vector_complex64, type: dolfinx.cpp.la.Norm = <Norm.l2: 1>) → float

scatter_forward(self: dolfinx.cpp.la.Vector_complex64) → None

scatter_reverse(self: dolfinx.cpp.la.Vector_complex64, mode: dolfinx.cpp.la.InsertMode) → None

class dolfinx.cpp.la.Vector_float32(*args, **kwargs)

Bases: pybind11_object

Overloaded function.

__init__(self: dolfinx.cpp.la.Vector_float32, map: dolfinx.cpp.common.IndexMap, bs: int) -> None
__init__(self: dolfinx.cpp.la.Vector_float32, vec: dolfinx.cpp.la.Vector_float32) -> None

property array

property bs

property dtype

property index_map

norm(self: dolfinx.cpp.la.Vector_float32, type: dolfinx.cpp.la.Norm = <Norm.l2: 1>) → float

scatter_forward(self: dolfinx.cpp.la.Vector_float32) → None

scatter_reverse(self: dolfinx.cpp.la.Vector_float32, mode: dolfinx.cpp.la.InsertMode) → None

class dolfinx.cpp.la.Vector_float64(*args, **kwargs)

Bases: pybind11_object

Overloaded function.

__init__(self: dolfinx.cpp.la.Vector_float64, map: dolfinx.cpp.common.IndexMap, bs: int) -> None
__init__(self: dolfinx.cpp.la.Vector_float64, vec: dolfinx.cpp.la.Vector_float64) -> None

property array

property bs

property dtype

property index_map

norm(self: dolfinx.cpp.la.Vector_float64, type: dolfinx.cpp.la.Norm = <Norm.l2: 1>) → float

scatter_forward(self: dolfinx.cpp.la.Vector_float64) → None

scatter_reverse(self: dolfinx.cpp.la.Vector_float64, mode: dolfinx.cpp.la.InsertMode) → None

dolfinx.cpp.la.inner_product(*args, **kwargs)

Overloaded function.

inner_product(x: dolfinx.cpp.la.Vector_float32, y: dolfinx.cpp.la.Vector_float32) -> float
inner_product(x: dolfinx.cpp.la.Vector_float64, y: dolfinx.cpp.la.Vector_float64) -> float
inner_product(x: dolfinx.cpp.la.Vector_complex64, y: dolfinx.cpp.la.Vector_complex64) -> complex
inner_product(x: dolfinx.cpp.la.Vector_complex128, y: dolfinx.cpp.la.Vector_complex128) -> complex

dolfinx.cpp.la.is_orthonormal(*args, **kwargs)

Overloaded function.

is_orthonormal(basis: List[dolfinx.cpp.la.Vector_float32]) -> bool
is_orthonormal(basis: List[dolfinx.cpp.la.Vector_float64]) -> bool
is_orthonormal(basis: List[dolfinx.cpp.la.Vector_complex64]) -> bool
is_orthonormal(basis: List[dolfinx.cpp.la.Vector_complex128]) -> bool

dolfinx.cpp.la.orthonormalize(*args, **kwargs)

Overloaded function.

orthonormalize(basis: List[dolfinx.cpp.la.Vector_float32]) -> None
orthonormalize(basis: List[dolfinx.cpp.la.Vector_float64]) -> None
orthonormalize(basis: List[dolfinx.cpp.la.Vector_complex64]) -> None
orthonormalize(basis: List[dolfinx.cpp.la.Vector_complex128]) -> None