Research in Numerical Linear Algebra

 

1.  The effects of measurement errors on systems of linear algebraic equations, International Journal of Mathematics Education for Science and Technology, 15 (1984), 485-490.

 

2.    Diagonalizing the Adaptive SOR Iteration Method, SIAM J. on Matrix Analysis and Applications, 12 (1991), 661-678.

 

3.  The optimal omega is not best for the SOR iteration method, Linear Algebra and its Applications, Vol. 154-156 (1991), pages 819-845.

 

 

Research in Linear Algebra

 

 

1.  A quantitative formulation of Sylvester's law of inertia,  III, Linear Algebra and it's Applications 80 (1986), 141-158.

 

2.  The possible inertias for an hermitian matrix and its principal submatrices [- A constrained completion  problem], Linear Algebra and its Applications, 85 (1987),121-151.

 

3.  (With Chandler Davis), An interlacing theorem for eigenvalues of self-adjoint operators, Linear Algebra and its Applications, 88/89 (1987), 117-122. 

 

4.  On the inertias of symmetric matrices and bounded self-adjoint operators [- The extended Poincare's Inequalities], Linear Algebra and its Applications, 105 (1988), 67-75.

 

5.      [A classification of the kernels of] Bordered matrices, Linear Algebra and its Applications, 128 (1990), 117-132.

 

6.    Several Consequences of [- the extended Poincare's Inequalities] Inertia Theorem, Linear Algebra and its Applications, 136 (1990), 43-61.

 

7.    Invertible completions of band matrices, Linear Algebra and its Applications, 150 (1991), 125-138.

 

8.  Minimal rank and maximal rank Hermitian completions for certain band matrices, Linear Algebra and its Applications, 167 (1992), 219-225.

 

9.    Positive semidefinite completions of partial hermitian matrices, Linear Algebra and its Applications, 175 (1992), 97-114.

 

10.  Choosing the inertias for completions of certain partial matrices, SIAM J. on Matrix Analysis and Applications. 14 (1993), 813-829.

 

11.    (With Nir Cohen) Maximal rank hermitian completions of partially specified hermitian matrices, Linear Algebra and its Applications, 244 (1996) 265-276

 

12.    (with Nir Cohen), Inertias of Block Band Matrix Completions.  SIAM J. on Matrix Analysis and Applications. 19 (1998) 583-612.

 

13.  Ranks and Inertias of Hermitian Block Toeplitz Matrices, Linear Algebra and its Applications, Linear Algebra and its Applications, 353 (2002), 21-32.