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GEMM-based level 3 BLAS: high-performance model implementations and performance evaluation benchmark

- Bo Kågström, Per Ling, Charles Van Loan
- ACM Trans. Math. Softw.
- 1998

The level 3 Basic Linear Algebra Subprograms (BLAS) are designed to perform various matrix multiply and triangular system solving computations. Due to the complex hardware organization of advanced… (More)

- James Demmel, Bo Kågström
- ACM Trans. Math. Softw.
- 1993

Robust software with error bounds for computing the generalized Schur decomposition of an arbitrary matrix pencil A – λB (regular or singular) is presented. The decomposition is a generalization of… (More)

- Erik Elmroth, Fred G. Gustavson, Isak Jonsson, Bo Kågström
- SIAM Review
- 2004

Matrix computations are both fundamental and ubiquitous in computational science and its vast application areas. Along with the development of more advanced computer systems with complex memory… (More)

- Bo Kågström, Peter Poromaa
- ACM Trans. Math. Softw.
- 1996

Robust and fast software to solve the generalized Sylvester equation (AR - LB = C, DR - LE = F) for unknowns R and L is presented. This special linear system of equations, and its transpose, arises… (More)

- Isak Jonsson, Bo Kågström
- ACM Trans. Math. Softw.
- 2002

Triangular matrix equations appear naturally in estimating the condition numbers of matrix equations and different eigenspace computations, including block-diagonalization of matrices and matrix… (More)

- Bo Kågström, Daniel Kressner
- SIAM J. Matrix Analysis Applications
- 2006

Abstract. New variants of the QZ algorithm for solving the generalized eigenvalue problem are proposed. An extension of the small-bulge multishift QR algorithm is developed, which chases chains of… (More)

- Fred G. Gustavson, Lars Karlsson, Bo Kågström
- ACM Trans. Math. Softw.
- 2012

Techniques and algorithms for efficient in-place conversion to and from standard and blocked matrix storage formats are described. Such functionality is required by numerical libraries that use… (More)

- James Demmel, Bo Kågström
- ACM Trans. Math. Softw.
- 1993

Robust software with error bounds for computing the generalized Schur decomposition of an arbitrary matrix pencil A – λB (regular or singular) is presented. The decomposition is a generalization of… (More)

- Isak Jonsson, Bo Kågström
- ACM Trans. Math. Softw.
- 2002

We continue our study of high-performance algorithms for solving triangular matrix equations. They appear naturally in different condition estimation problems for matrix equations and various… (More)

- Fred G. Gustavson, André Henriksson, Isak Jonsson, Bo Kågström, Per Ling
- PARA
- 1998

Abstrac t . Recursive blocked data formats and recursive blocked BLAS's are introduced and applied to dense linear algebra algorithms that are typified by LAPACK. The new data formats allow for… (More)