EinsteinSummation (Episteme API Documentation)

java.lang.Object

org.episteme.core.mathematics.linearalgebra.tensors.EinsteinSummation

public class EinsteinSummation extends Object

Utility for Einstein summation convention (einsum).

Evaluates tensor contractions based on a subscript string. Example: "ij,jk->ik" corresponds to matrix multiplication.

Since:: 1.0
Author:: Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Method Summary

Modifier and Type

Method

Description

static <T> Tensor<T>

einsum(String equation, Tensor<T>... operands)

Performs Einstein summation.

Methods inherited from class Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Details
- einsum
  
  @SafeVarargs public static <T> Tensor<T> einsum(String equation, Tensor<T>... operands)
  
  Performs Einstein summation.
  
  Type Parameters:
  
  T - the field element type
  
  Parameters:
  
  equation - the equation string (e.g. "ij,jk->ik")
  
  operands - the tensor operands
  
  Returns:
  
  the resulting tensor