# YALL1-Group: A solver for group/joint sparse reconstruction

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:[x,Out] = YALL1_group(A,b,groups,'param1',value1,'param2',value2,...); | :[x,Out] = YALL1_group(A,b,groups,'param1',value1,'param2',value2,...); | ||

- | == Input | + | == Input Arguments == |

+ | |||

+ | *'''A''': an m-by-n matrix with m < n, or a structure with the following fields: | ||

+ | 1) A.times: a function handle for <math>A*x</math> | ||

+ | 2) A.trans: a function handle for <math>A_T*x<math> |

## Revision as of 16:17, 12 June 2011

YALL1-Group is a MATLAB software package for group/joint sparse reconstruction, written by Wei Deng, Wotao Yin and Yin Zhang at Rice University.

## Model

(1) Group-sparse basis pursuit model:

Minimize subject to

where , , denotes the index set of the -th group, and is the weight for the -th group.

(2) Jointly-sparse basis pursuit model:

Minimize subject to

where , denotes the -th row of matrix , and is the weight for the -th row.

## Syntax

- [x,Out] = YALL1_group(A,b,groups,'param1',value1,'param2',value2,...);

## Input Arguments

**A**: an m-by-n matrix with m < n, or a structure with the following fields:

1) A.times: a function handle for 2) A.trans: a function handle for