monolish Namespace Reference

Namespaces
	blas
	Basic Linear Algebra Subprograms for Dense Matrix, Sparse Matrix, Vector and Scalar.
	equation
	Linear equation solvers for Dense and sparse matrix Scalar.
	generalized_eigen
	handling eigenvalues and eigenvectors
	matrix
	Declare sparse and dense matrix class.
	mpi
	C++ template MPI class, Functions of this class do nothing when MPI is disabled. Functions in this class are under development. Currently, Many BLAS functions don't support MPI. Functions of this class does not support GPU. The user needs to communicate with the GPU before and after the call to this function if necessary.
	solver
	Liner solver base class.
	standard_eigen
	handling eigenvalues and eigenvectors
	util
	monolish utilities
	vml
	Vector and Matrix element-wise math library.

Classes
class	Logger
	logger class (singleton, for developper class) More...
class	vector
	vector class More...
class	view1D
	1D view class More...

Functions
double	get_residual_l2 (const matrix::CRS< double > &A, const vector< double > &x, const vector< double > &y)
	get nrm |b-Ax|_2 More...
double	get_residual_l2 (const matrix::CRS< double > &A, const vector< double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const vector< double > &x, const view1D< vector< double >, double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const view1D< matrix::Dense< double >, double > &x, const vector< double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const view1D< matrix::Dense< double >, double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const view1D< matrix::Dense< double >, double > &x, const view1D< vector< double >, double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const view1D< vector< double >, double > &x, const vector< double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const view1D< vector< double >, double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const view1D< vector< double >, double > &x, const view1D< vector< double >, double > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const vector< float > &x, const vector< float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const vector< float > &x, const view1D< matrix::Dense< float >, float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const vector< float > &x, const view1D< vector< float >, float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const view1D< matrix::Dense< float >, float > &x, const vector< float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const view1D< matrix::Dense< float >, float > &x, const view1D< matrix::Dense< float >, float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const view1D< matrix::Dense< float >, float > &x, const view1D< vector< float >, float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const view1D< vector< float >, float > &x, const vector< float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const view1D< vector< float >, float > &x, const view1D< matrix::Dense< float >, float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const view1D< vector< float >, float > &x, const view1D< vector< float >, float > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const vector< double > &x, const vector< double > &y)
	get nrm |b-Ax|_2 More...
double	get_residual_l2 (const matrix::Dense< double > &A, const vector< double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const vector< double > &x, const view1D< vector< double >, double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const view1D< matrix::Dense< double >, double > &x, const vector< double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const view1D< matrix::Dense< double >, double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const view1D< matrix::Dense< double >, double > &x, const view1D< vector< double >, double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const view1D< vector< double >, double > &x, const vector< double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const view1D< vector< double >, double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const view1D< vector< double >, double > &x, const view1D< vector< double >, double > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const vector< float > &x, const vector< float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const vector< float > &x, const view1D< matrix::Dense< float >, float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const vector< float > &x, const view1D< vector< float >, float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const view1D< matrix::Dense< float >, float > &x, const vector< float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const view1D< matrix::Dense< float >, float > &x, const view1D< matrix::Dense< float >, float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const view1D< matrix::Dense< float >, float > &x, const view1D< vector< float >, float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const view1D< vector< float >, float > &x, const vector< float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const view1D< vector< float >, float > &x, const view1D< matrix::Dense< float >, float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const view1D< vector< float >, float > &x, const view1D< vector< float >, float > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const vector< double > &x, const vector< double > &y)
	get nrm |b-Ax|_2 More...
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const vector< double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const vector< double > &x, const view1D< vector< double >, double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const view1D< matrix::Dense< double >, double > &x, const vector< double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const view1D< matrix::Dense< double >, double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const view1D< matrix::Dense< double >, double > &x, const view1D< vector< double >, double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const view1D< vector< double >, double > &x, const vector< double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const view1D< vector< double >, double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const view1D< vector< double >, double > &x, const view1D< vector< double >, double > &y)
float	get_residual_l2 (const matrix::LinearOperator< float > &A, const vector< float > &x, const vector< float > &y)
float	get_residual_l2 (const matrix::LinearOperator< float > &A, const vector< float > &x, const view1D< matrix::Dense< float >, float > &y)
float	get_residual_l2 (const matrix::LinearOperator< float > &A, const vector< float > &x, const view1D< vector< float >, float > &y)
float	get_residual_l2 (const matrix::LinearOperator< float > &A, const view1D< matrix::Dense< float >, float > &x, const vector< float > &y)
float	get_residual_l2 (const matrix::LinearOperator< float > &A, const view1D< matrix::Dense< float >, float > &x, const view1D< matrix::Dense< float >, float > &y)
float	get_residual_l2 (const matrix::LinearOperator< float > &A, const view1D< matrix::Dense< float >, float > &x, const view1D< vector< float >, float > &y)
float	get_residual_l2 (const matrix::LinearOperator< float > &A, const view1D< vector< float >, float > &x, const vector< float > &y)
float	get_residual_l2 (const matrix::LinearOperator< float > &A, const view1D< vector< float >, float > &x, const view1D< matrix::Dense< float >, float > &y)
float	get_residual_l2 (const matrix::LinearOperator< float > &A, const view1D< vector< float >, float > &x, const view1D< vector< float >, float > &y)

Function Documentation

get_residual_l2() [1/54]

double monolish::get_residual_l2	(	const matrix::CRS< double > &	A,
		const vector< double > &	x,
		const vector< double > &	y
	)

get nrm |b-Ax|_2

Parameters

A	CRS matrix (size M x N)
x	monolish vector (size N)
y	monolish vector (size M)

Note

• # of computation: 2*M*nnz + N
• Multi-threading: true
• GPU acceleration: true
  • # of data transfer: 0

Definition at line 157 of file equation_utils.cpp.

get_residual_l2() [2/54]

double monolish::get_residual_l2	(	const matrix::CRS< double > &	A,
		const vector< double > &	x,
		const view1D< matrix::Dense< double >, double > &	y
	)

Definition at line 165 of file equation_utils.cpp.

get_residual_l2() [3/54]

double monolish::get_residual_l2	(	const matrix::CRS< double > &	A,
		const vector< double > &	x,
		const view1D< vector< double >, double > &	y
	)

Definition at line 161 of file equation_utils.cpp.

get_residual_l2() [4/54]

double monolish::get_residual_l2	(	const matrix::CRS< double > &	A,
		const view1D< matrix::Dense< double >, double > &	x,
		const vector< double > &	y
	)

Definition at line 184 of file equation_utils.cpp.

get_residual_l2() [5/54]

double monolish::get_residual_l2	(	const matrix::CRS< double > &	A,
		const view1D< matrix::Dense< double >, double > &	x,
		const view1D< matrix::Dense< double >, double > &	y
	)

Definition at line 194 of file equation_utils.cpp.

get_residual_l2() [6/54]

double monolish::get_residual_l2	(	const matrix::CRS< double > &	A,
		const view1D< matrix::Dense< double >, double > &	x,
		const view1D< vector< double >, double > &	y
	)

Definition at line 189 of file equation_utils.cpp.

get_residual_l2() [7/54]

double monolish::get_residual_l2	(	const matrix::CRS< double > &	A,
		const view1D< vector< double >, double > &	x,
		const vector< double > &	y
	)

Definition at line 169 of file equation_utils.cpp.

get_residual_l2() [8/54]

double monolish::get_residual_l2	(	const matrix::CRS< double > &	A,
		const view1D< vector< double >, double > &	x,
		const view1D< matrix::Dense< double >, double > &	y
	)

Definition at line 179 of file equation_utils.cpp.

get_residual_l2() [9/54]

double monolish::get_residual_l2	(	const matrix::CRS< double > &	A,
		const view1D< vector< double >, double > &	x,
		const view1D< vector< double >, double > &	y
	)

Definition at line 174 of file equation_utils.cpp.

get_residual_l2() [10/54]

float monolish::get_residual_l2	(	const matrix::CRS< float > &	A,
		const vector< float > &	x,
		const vector< float > &	y
	)

Definition at line 199 of file equation_utils.cpp.

get_residual_l2() [11/54]

float monolish::get_residual_l2	(	const matrix::CRS< float > &	A,
		const vector< float > &	x,
		const view1D< matrix::Dense< float >, float > &	y
	)

Definition at line 207 of file equation_utils.cpp.

get_residual_l2() [12/54]

float monolish::get_residual_l2	(	const matrix::CRS< float > &	A,
		const vector< float > &	x,
		const view1D< vector< float >, float > &	y
	)

Definition at line 203 of file equation_utils.cpp.

get_residual_l2() [13/54]

float monolish::get_residual_l2	(	const matrix::CRS< float > &	A,
		const view1D< matrix::Dense< float >, float > &	x,
		const vector< float > &	y
	)

Definition at line 226 of file equation_utils.cpp.

get_residual_l2() [14/54]

float monolish::get_residual_l2	(	const matrix::CRS< float > &	A,
		const view1D< matrix::Dense< float >, float > &	x,
		const view1D< matrix::Dense< float >, float > &	y
	)

Definition at line 236 of file equation_utils.cpp.

get_residual_l2() [15/54]

float monolish::get_residual_l2	(	const matrix::CRS< float > &	A,
		const view1D< matrix::Dense< float >, float > &	x,
		const view1D< vector< float >, float > &	y
	)

Definition at line 231 of file equation_utils.cpp.

get_residual_l2() [16/54]

float monolish::get_residual_l2	(	const matrix::CRS< float > &	A,
		const view1D< vector< float >, float > &	x,
		const vector< float > &	y
	)

Definition at line 211 of file equation_utils.cpp.

get_residual_l2() [17/54]

float monolish::get_residual_l2	(	const matrix::CRS< float > &	A,
		const view1D< vector< float >, float > &	x,
		const view1D< matrix::Dense< float >, float > &	y
	)

Definition at line 221 of file equation_utils.cpp.

get_residual_l2() [18/54]

float monolish::get_residual_l2	(	const matrix::CRS< float > &	A,
		const view1D< vector< float >, float > &	x,
		const view1D< vector< float >, float > &	y
	)

Definition at line 216 of file equation_utils.cpp.

get_residual_l2() [19/54]

double monolish::get_residual_l2	(	const matrix::Dense< double > &	A,
		const vector< double > &	x,
		const vector< double > &	y
	)

get nrm |b-Ax|_2

Parameters

A	Dense matrix (size M x N)
x	monolish vector (size N)
y	monolish vector (size M)

Note

• # of computation: 2*M*nnz + N
• Multi-threading: true
• GPU acceleration: true
  • # of data transfer: 0

Definition at line 72 of file equation_utils.cpp.

get_residual_l2() [20/54]

double monolish::get_residual_l2	(	const matrix::Dense< double > &	A,
		const vector< double > &	x,
		const view1D< matrix::Dense< double >, double > &	y
	)

Definition at line 80 of file equation_utils.cpp.

get_residual_l2() [21/54]

double monolish::get_residual_l2	(	const matrix::Dense< double > &	A,
		const vector< double > &	x,
		const view1D< vector< double >, double > &	y
	)

Definition at line 76 of file equation_utils.cpp.

get_residual_l2() [22/54]

double monolish::get_residual_l2	(	const matrix::Dense< double > &	A,
		const view1D< matrix::Dense< double >, double > &	x,
		const vector< double > &	y
	)

Definition at line 99 of file equation_utils.cpp.

get_residual_l2() [23/54]

double monolish::get_residual_l2	(	const matrix::Dense< double > &	A,
		const view1D< matrix::Dense< double >, double > &	x,
		const view1D< matrix::Dense< double >, double > &	y
	)

Definition at line 109 of file equation_utils.cpp.

get_residual_l2() [24/54]

double monolish::get_residual_l2	(	const matrix::Dense< double > &	A,
		const view1D< matrix::Dense< double >, double > &	x,
		const view1D< vector< double >, double > &	y
	)

Definition at line 104 of file equation_utils.cpp.

get_residual_l2() [25/54]

double monolish::get_residual_l2	(	const matrix::Dense< double > &	A,
		const view1D< vector< double >, double > &	x,
		const vector< double > &	y
	)

Definition at line 84 of file equation_utils.cpp.

get_residual_l2() [26/54]

double monolish::get_residual_l2	(	const matrix::Dense< double > &	A,
		const view1D< vector< double >, double > &	x,
		const view1D< matrix::Dense< double >, double > &	y
	)

Definition at line 94 of file equation_utils.cpp.

get_residual_l2() [27/54]

double monolish::get_residual_l2	(	const matrix::Dense< double > &	A,
		const view1D< vector< double >, double > &	x,
		const view1D< vector< double >, double > &	y
	)

Definition at line 89 of file equation_utils.cpp.

get_residual_l2() [28/54]

float monolish::get_residual_l2	(	const matrix::Dense< float > &	A,
		const vector< float > &	x,
		const vector< float > &	y
	)

Definition at line 114 of file equation_utils.cpp.

get_residual_l2() [29/54]

float monolish::get_residual_l2	(	const matrix::Dense< float > &	A,
		const vector< float > &	x,
		const view1D< matrix::Dense< float >, float > &	y
	)

Definition at line 122 of file equation_utils.cpp.

get_residual_l2() [30/54]

float monolish::get_residual_l2	(	const matrix::Dense< float > &	A,
		const vector< float > &	x,
		const view1D< vector< float >, float > &	y
	)

Definition at line 118 of file equation_utils.cpp.

get_residual_l2() [31/54]

float monolish::get_residual_l2	(	const matrix::Dense< float > &	A,
		const view1D< matrix::Dense< float >, float > &	x,
		const vector< float > &	y
	)

Definition at line 141 of file equation_utils.cpp.

get_residual_l2() [32/54]

float monolish::get_residual_l2	(	const matrix::Dense< float > &	A,
		const view1D< matrix::Dense< float >, float > &	x,
		const view1D< matrix::Dense< float >, float > &	y
	)

Definition at line 151 of file equation_utils.cpp.

get_residual_l2() [33/54]

float monolish::get_residual_l2	(	const matrix::Dense< float > &	A,
		const view1D< matrix::Dense< float >, float > &	x,
		const view1D< vector< float >, float > &	y
	)

Definition at line 146 of file equation_utils.cpp.

get_residual_l2() [34/54]

float monolish::get_residual_l2	(	const matrix::Dense< float > &	A,
		const view1D< vector< float >, float > &	x,
		const vector< float > &	y
	)

Definition at line 126 of file equation_utils.cpp.

get_residual_l2() [35/54]

float monolish::get_residual_l2	(	const matrix::Dense< float > &	A,
		const view1D< vector< float >, float > &	x,
		const view1D< matrix::Dense< float >, float > &	y
	)

Definition at line 136 of file equation_utils.cpp.

get_residual_l2() [36/54]

float monolish::get_residual_l2	(	const matrix::Dense< float > &	A,
		const view1D< vector< float >, float > &	x,
		const view1D< vector< float >, float > &	y
	)

Definition at line 131 of file equation_utils.cpp.

get_residual_l2() [37/54]

double monolish::get_residual_l2	(	const matrix::LinearOperator< double > &	A,
		const vector< double > &	x,
		const vector< double > &	y
	)

get nrm |b-Ax|_2

Parameters

A	LinearOperator (size M x N)
x	monolish vector (size N)
y	monolish vector (size M)

Note

• # of computation: 2*M*nnz + N
• Multi-threading: true
• GPU acceleration: true
  • # of data transfer: 0

Definition at line 242 of file equation_utils.cpp.

get_residual_l2() [38/54]

double monolish::get_residual_l2	(	const matrix::LinearOperator< double > &	A,
		const vector< double > &	x,
		const view1D< matrix::Dense< double >, double > &	y
	)

Definition at line 251 of file equation_utils.cpp.

get_residual_l2() [39/54]

double monolish::get_residual_l2	(	const matrix::LinearOperator< double > &	A,
		const vector< double > &	x,
		const view1D< vector< double >, double > &	y
	)

Definition at line 246 of file equation_utils.cpp.

get_residual_l2() [40/54]

double monolish::get_residual_l2	(	const matrix::LinearOperator< double > &	A,
		const view1D< matrix::Dense< double >, double > &	x,
		const vector< double > &	y
	)

Definition at line 271 of file equation_utils.cpp.

get_residual_l2() [41/54]

double monolish::get_residual_l2	(	const matrix::LinearOperator< double > &	A,
		const view1D< matrix::Dense< double >, double > &	x,
		const view1D< matrix::Dense< double >, double > &	y
	)

Definition at line 281 of file equation_utils.cpp.

get_residual_l2() [42/54]

double monolish::get_residual_l2	(	const matrix::LinearOperator< double > &	A,
		const view1D< matrix::Dense< double >, double > &	x,
		const view1D< vector< double >, double > &	y
	)

Definition at line 276 of file equation_utils.cpp.

get_residual_l2() [43/54]

double monolish::get_residual_l2	(	const matrix::LinearOperator< double > &	A,
		const view1D< vector< double >, double > &	x,
		const vector< double > &	y
	)

Definition at line 256 of file equation_utils.cpp.

get_residual_l2() [44/54]

double monolish::get_residual_l2	(	const matrix::LinearOperator< double > &	A,
		const view1D< vector< double >, double > &	x,
		const view1D< matrix::Dense< double >, double > &	y
	)

Definition at line 266 of file equation_utils.cpp.

get_residual_l2() [45/54]

double monolish::get_residual_l2	(	const matrix::LinearOperator< double > &	A,
		const view1D< vector< double >, double > &	x,
		const view1D< vector< double >, double > &	y
	)

Definition at line 261 of file equation_utils.cpp.

get_residual_l2() [46/54]

float monolish::get_residual_l2	(	const matrix::LinearOperator< float > &	A,
		const vector< float > &	x,
		const vector< float > &	y
	)

Definition at line 286 of file equation_utils.cpp.

get_residual_l2() [47/54]

float monolish::get_residual_l2	(	const matrix::LinearOperator< float > &	A,
		const vector< float > &	x,
		const view1D< matrix::Dense< float >, float > &	y
	)

Definition at line 295 of file equation_utils.cpp.

get_residual_l2() [48/54]

float monolish::get_residual_l2	(	const matrix::LinearOperator< float > &	A,
		const vector< float > &	x,
		const view1D< vector< float >, float > &	y
	)

Definition at line 290 of file equation_utils.cpp.

get_residual_l2() [49/54]

float monolish::get_residual_l2	(	const matrix::LinearOperator< float > &	A,
		const view1D< matrix::Dense< float >, float > &	x,
		const vector< float > &	y
	)

Definition at line 315 of file equation_utils.cpp.

get_residual_l2() [50/54]

float monolish::get_residual_l2	(	const matrix::LinearOperator< float > &	A,
		const view1D< matrix::Dense< float >, float > &	x,
		const view1D< matrix::Dense< float >, float > &	y
	)

Definition at line 325 of file equation_utils.cpp.

get_residual_l2() [51/54]

float monolish::get_residual_l2	(	const matrix::LinearOperator< float > &	A,
		const view1D< matrix::Dense< float >, float > &	x,
		const view1D< vector< float >, float > &	y
	)

Definition at line 320 of file equation_utils.cpp.

get_residual_l2() [52/54]

float monolish::get_residual_l2	(	const matrix::LinearOperator< float > &	A,
		const view1D< vector< float >, float > &	x,
		const vector< float > &	y
	)

Definition at line 300 of file equation_utils.cpp.

get_residual_l2() [53/54]

float monolish::get_residual_l2	(	const matrix::LinearOperator< float > &	A,
		const view1D< vector< float >, float > &	x,
		const view1D< matrix::Dense< float >, float > &	y
	)

Definition at line 310 of file equation_utils.cpp.

get_residual_l2() [54/54]

float monolish::get_residual_l2	(	const matrix::LinearOperator< float > &	A,
		const view1D< vector< float >, float > &	x,
		const view1D< vector< float >, float > &	y
	)

Definition at line 305 of file equation_utils.cpp.