MATLAB Mathematics - SERC - Index of
MATLAB Mathematics - SERC - Index of MATLAB Mathematics - SERC - Index of
1 Matrices and Linear Algebra Function Summary The linear algebra functions are located in the MATLAB matfun directory. Function Summary Category Function Description Matrix analysis norm Matrix or vector norm. normest rank det trace null orth rref subspace Estimate the matrix 2-norm. Matrix rank. Determinant. Sum of diagonal elements. Null space. Orthogonalization. Reduced row echelon form. Angle between two subspaces. Linear equations \ and / Linear equation solution. inv cond condest chol cholinc linsolve lu luinc qr Matrix inverse. Condition number for inversion. 1-norm condition number estimate. Cholesky factorization. Incomplete Cholesky factorization. Solve a system of linear equations. LU factorization. Incomplete LU factorization. Orthogonal-triangular decomposition. 1-2
Function Summary Function Summary (Continued) Category Function Description Eigenvalues and singular values lsqnonneg pinv lscov eig svd eigs svds poly polyeig condeig hess qz schur Nonnegative least-squares. Pseudoinverse. Least squares with known covariance. Eigenvalues and eigenvectors. Singular value decomposition. A few eigenvalues. A few singular values. Characteristic polynomial. Polynomial eigenvalue problem. Condition number for eigenvalues. Hessenberg form. QZ factorization. Schur decomposition. Matrix functions expm Matrix exponential. logm sqrtm funm Matrix logarithm. Matrix square root. Evaluate general matrix function. 1-3
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Function Summary<br />
Function Summary (Continued)<br />
Category Function Description<br />
Eigenvalues and<br />
singular values<br />
lsqnonneg<br />
pinv<br />
lscov<br />
eig<br />
svd<br />
eigs<br />
svds<br />
poly<br />
polyeig<br />
condeig<br />
hess<br />
qz<br />
schur<br />
Nonnegative least-squares.<br />
Pseudoinverse.<br />
Least squares with known covariance.<br />
Eigenvalues and eigenvectors.<br />
Singular value decomposition.<br />
A few eigenvalues.<br />
A few singular values.<br />
Characteristic polynomial.<br />
Polynomial eigenvalue problem.<br />
Condition number for eigenvalues.<br />
Hessenberg form.<br />
QZ factorization.<br />
Schur decomposition.<br />
Matrix functions expm Matrix exponential.<br />
logm<br />
sqrtm<br />
funm<br />
Matrix logarithm.<br />
Matrix square root.<br />
Evaluate general matrix function.<br />
1-3
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