Linear Regression Classification (LRC) is a newly-appeared pattern recognition method, which formulates
the recognition problem in terms of class-specific linear regression with sufficient training samples per
class. In this paper, we extend LRC via intraclass variant dictionary and SVD to undersampled face recognition
where there are very few, or even only one, training sample per class. Intraclass variant dictionary
is adopted in undersampled situation to represent the possible variation between the training and testing
samples. Three types of methods, quasi-inverse, ridge regularization and Singular Value Decomposition
(SVD), are designed to solve low-rank problem of data matrix. Then the whole algorithm, named
Extended LRC (ELRC), is presented for face recognition via intraclass variant dictionary and SVD. The
experimental results on three well-known face databases show that the proposed ELRC has better
generalization ability and is more robust to classification than many state-of-the-art methods in
undersampled situation.