Matrices with Positive Definite Hermitian Part: Inequalities and Linear Systems. - Roy Mathias (SIAM J. Matrix Anal. Appl., 1992)

Perturbation Bounds for the Polar Decomposition. - Roy Mathias (SIAM J. Matrix Anal. Appl., 1993)

Approximation of Matrix-Valued Functions. - Roy Mathias (SIAM J. Matrix Anal. Appl., 1993)

The Hadamard Operator Norm of a Circulant and Applications. - Roy Mathias (SIAM J. Matrix Anal. Appl., 1993)

Condition Estimation for Matrix Functions via the Schur Decomposition. - Roy Mathias (SIAM J. Matrix Anal. Appl., 1995)

Accurate Eigensystem Computations by Jacobi Methods. - Roy Mathias (SIAM J. Matrix Anal. Appl., 1995)

The Instability of Parallel Prefix Matrix Multiplication. - Roy Mathias (SIAM J. Sci. Comput., 1995)

Analysis of Algorithms for Orthogonalizing Products of Unitary Matrices. - Roy Mathias (Numer. Linear Algebra Appl., 1996)

A Chain Rule for Matrix Functions and Applications. - Roy Mathias (SIAM J. Matrix Anal. Appl., 1996)

A Bound for the Matrix Square Root with Application to Eigenvector Perturbation. - Roy Mathias (SIAM J. Matrix Anal. Appl., 1997)

Spectral Perturbation Bounds for Positive Definite Matrices. - Roy Mathias (SIAM J. Matrix Anal. Appl., 1997)

Generalizations of Ky Fan's Dominance Theorem. - Chi-Kwong Li; Roy Mathias (SIAM J. Matrix Anal. Appl., 1998)

Quadratic Residual Bounds for the Hermitian Eigenvalue Problem. - Roy Mathias (SIAM J. Matrix Anal. Appl., 1998)

The Lidskii-Mirsky-Wielandt theorem - additive and multiplicative versions. - Chi-Kwong Li; Roy Mathias (Numerische Mathematik, 1999)

Extremal Characterizations of the Schur Complement and Resulting Inequalities. - Chi-Kwong Li; Roy Mathias (SIAM Rev., 2000)

The Multishift QR Algorithm. Part I: Maintaining Well-Focused Shifts and Level 3 Performance. - Karen Braman; Ralph Byers; Roy Mathias (SIAM J. Matrix Anal. Appl., 2002)

The Multishift QR Algorithm. Part II: Aggressive Early Deflation. - Karen Braman; Ralph Byers; Roy Mathias (SIAM J. Matrix Anal. Appl., 2002)

Inequalities on Singular Values of Block Triangular Matrices. - Chi-Kwong Li; Roy Mathias (SIAM J. Matrix Anal. Appl., 2002)

Distances from a Hermitian Pair to Diagonalizable and Nondiagonalizable Hermitian Pairs. - Chi-Kwong Li; Roy Mathias (SIAM J. Matrix Anal. Appl., 2006)