MATLAB Function Reference

Linear Algebra

Matrix Analysis

 cond Condition number with respect to inversion condeig Condition number with respect to eigenvalues det Determinant norm Matrix or vector norm normest Estimate matrix 2-norm null Null space orth Orthogonalization rank Matrix rank rcond Matrix reciprocal condition number estimate rref Reduced row echelon form subspace Angle between two subspaces trace Sum of diagonal elements

Linear Equations

 \ and / Linear equation solution chol Cholesky factorization cholinc Incomplete Cholesky factorization cond Condition number with respect to inversion condest 1-norm condition number estimate funm Evaluate general matrix function inv Matrix inverse lscov Least squares solution in presence of known covariance lsqnonneg Nonnegative least squares lu LU matrix factorization luinc Incomplete LU factorization pinv Moore-Penrose pseudoinverse of matrix qr Orthogonal-triangular decomposition rcond Matrix reciprocal condition number estimate

Eigenvalues and Singular Values

 balance Improve accuracy of computed eigenvalues cdf2rdf Convert complex diagonal form to real block diagonal form condeig Condition number with respect to eigenvalues eig Eigenvalues and eigenvectors eigs Eigenvalues and eigenvectors of sparse matrix gsvd Generalized singular value decomposition hess Hessenberg form of matrix poly Polynomial with specified roots polyeig Polynomial eigenvalue problem qz QZ factorization for generalized eigenvalues rsf2csf Convert real Schur form to complex Schur form schur Schur decomposition svd Singular value decomposition svds Singular values and vectors of sparse matrix

Matrix Logarithms and Exponentials

 expm Matrix exponential logm Matrix logarithm sqrtm Matrix square root

Factorization

 balance Diagonal scaling to improve eigenvalue accuracy cdf2rdf Complex diagonal form to real block diagonal form chol Cholesky factorization cholinc Incomplete Cholesky factorization cholupdate Rank 1 update to Cholesky factorization lu LU matrix factorization luinc Incomplete LU factorization planerot Givens plane rotation qr Orthogonal-triangular decomposition qrdelete Delete column or row from QR factorization qrinsert Insert column or row into QR factorization qrupdate Rank 1 update to QR factorization qz QZ factorization for generalized eigenvalues rsf2csf Real block diagonal form to complex diagonal form

 Arrays and Matrices Elementary Math