- Tensorlab: A MATLAB toolbox for tensor computations and
- Complex Optimization Toolbox: A MATLAB toolbox for optimization of complex variables

from the pages:

# Tensorlab

## A MATLAB toolbox for tensor computations

## About

Tensorlab is a MATLAB toolbox that offers algorithms for

**tensor decompositions:**canonical polyadic decomposition (CPD), CPD with structured factor matrices and (partial) symmetry, multilinear singular value decomposition (MLSVD), block term decompositions (BTD) and low multilinear rank approximation (LMLRA),**complex optimization:**quasi-Newton and nonlinear-least squares optimization with complex variables including numerical complex differentiation,**global minimization of bivariate polynomials and rational functions:**both real and complex exact line search (LS) and real exact plane search (PS) for tensor optimization,**and much more:**cumulants, tensor visualization, estimating a tensor's rank or multilinear rank, …

## Documentation

Download the Tensorlab user guide to get started with Tensorlab. Alternatively, see Tensorlab's

`Contents.m`for an overview of the toolbox's functionality. For questions, bug reports or other inquiries, please contacttensorlab@esat.kuleuven.be.# Complex Optimization Toolbox

## A MATLAB toolbox for optimization of complex variables

## About

The Complex Optimization Toolbox is a MATLAB toolbox for optimizing problems in complex variables, although real optimization is also possible and is without performance penalty. Included are generalized algorithms for

**unconstrained nonlinear optimization:**nonlinear conjugate gradient and limited-memory BFGS with Moré–Thuente line search or dogleg trust region,**nonlinear least squares:**minimization of vector-, matrix- or tensor-valued residual functions, complex bound constraints, Levenberg–Marquardt and Gauss–Newton with CG–Steihaug or dogleg trust region,**and much more:**automated numerical real and complex differentiation, preservation of unknowns in their original format (i.e., as a vector, matrix, tensor or even a cell array of tensors), preconditioned conjugate gradient, …

## Documentation

The Complex Optimization Toolbox is part of Tensorlab, a MATLAB toolbox for tensor computations. Please consult the Tensorlab user guide to get started with the Complex Optimization Toolbox. Alternatively, see the toolbox's

`Contents.m`for an overview of its functionality. For questions, bug reports or other inquiries, please contact cot@cs.kuleuven.be.

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