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This is the documentation of the LazyAlgebra package for Julia. The sources are here.

Contents

• Installation
• • Using the package manager
  • Installation in scripts
• Lazy algebra framework
• • Mappings
  • Automatic simplifications
  • Creating new mappings
• Methods for vectors
• • Vectorized methods
  • Implementing a new vector type
• Sparse operators
• • Basic methods
  • Generalized matrix multplication by a sparse operator
  • Simple construction of compressed sparse operators
  • Accessing the structural non-zeros
  • Sparse operators in COO format
  • Sparse operators in CSC format
  • Sparse operators in CSR format
  • Conversion
  • Other methods
• Methods for mappings
• • The vcreate method
  • The apply! method
  • The identical method
  • Example
• Simplification and optimization of combinations of mappings
• • Rationale for simplification rules
  • Implemented simplification rules:
  • Coding recommendations
• Reference
• • Methods for linear mappings
  • Sparse operators

Index

• LazyAlgebra.SparseOperators.CompressedSparseOperator
• LazyAlgebra.SparseOperators.SparseOperator
• LazyAlgebra.SparseOperators.SparseOperatorCOO
• LazyAlgebra.SparseOperators.SparseOperatorCSC
• LazyAlgebra.SparseOperators.SparseOperatorCSR
• LazyAlgebra.SparseOperators.copy_cols
• LazyAlgebra.SparseOperators.copy_rows
• LazyAlgebra.SparseOperators.copy_vals
• LazyAlgebra.SparseOperators.each_col
• LazyAlgebra.SparseOperators.each_off
• LazyAlgebra.SparseOperators.each_row
• LazyAlgebra.SparseOperators.get_col
• LazyAlgebra.SparseOperators.get_cols
• LazyAlgebra.SparseOperators.get_offs
• LazyAlgebra.SparseOperators.get_row
• LazyAlgebra.SparseOperators.get_rows
• LazyAlgebra.SparseOperators.get_val
• LazyAlgebra.SparseOperators.get_vals
• LazyAlgebra.SparseOperators.set_val!
• LazyAlgebra.SparseOperators.unpack!
• LazyAlgebra.col_size
• LazyAlgebra.ncols
• LazyAlgebra.nrows
• LazyAlgebra.row_size