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- Patricia J. Eberlein, Haesun Park
- J. Parallel Distrib. Comput.
- 1990

Abstract One-sided methods for implementing Jacobi diagonalization algorithms have been recently proposed for both distributed memory and vector machines. These methods are naturally well suited to… (More)

- Mythili Mantharam, Patricia J. Eberlein
- Parallel Computing
- 1993

Abstract The pairs in the set {( i , j )∥ 1 ⩽ i j ⩽ n } can be distributed into ( n − 1) sets, such that each set contains exactly n /2 disjoint pairs. We refer to these ( n −1) sets as complete… (More)

Convergence proofs are given for one-sided Jacobi/Hestenes methods for the singular value problem. The limiting form of the matrix iterates for the Hestenes method with optimization when the original… (More)

An algorithm is devised for choosing linear or quadratic shifts so that the $QR$ algorithm applied to a unitary upper Hessenberg matrix converges globally in the sense that $| {a_{nn - 1}^{(t)} } |… (More)

- Mythili Mantharam, Patricia J. Eberlein
- IEEE Trans. Parallel Distrib. Syst.
- 1995

We introduce a new method to reduce a real matrix to a real Schur form by a sequence of similarity transformations that are 3D orthogonal transformations. Two significant features of this method are… (More)

A hand grip control assembly is constructed to provide at least three independent control signals in response to predetermined manipulations of a single hand when supported by the control assembly.… (More)

- Patricia J. Eberlein
- IEEE Transactions on Computers
- 1985

An algorithm to solve the eigenproblem for nonsymmetric matrices on an N × N array of mesh-connected processors, isomorphic to the architecture described by Brent and Luk for symmetric matrices, is… (More)