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Strassen: Gaussian elimination is not optimal

Gave a rank-seven multiplication scheme for two-by-two matrices and a recursive construction yielding matrix multiplication and related linear-algebra operations in fewer than cubic arithmetic operations.

What is recorded here?

Gave a rank-seven multiplication scheme for two-by-two matrices and a recursive construction yielding matrix multiplication and related linear-algebra operations in fewer than cubic arithmetic operations.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

The record is Strassen's sole-author 1969 paper and its arithmetic-operation model. It is not the current best matrix-multiplication exponent, a numerical-stability guarantee, or a lower bound.

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People and systems

Volker Strassen

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

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Documented countries / regions: United States, Switzerland

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English catalogue narrative

Strassen: Gaussian elimination is not optimal

Gave a rank-seven multiplication scheme for two-by-two matrices and a recursive construction yielding matrix multiplication and related linear-algebra operations in fewer than cubic arithmetic operations.

Scientific scope

The record is Strassen's sole-author 1969 paper and its arithmetic-operation model. It is not the current best matrix-multiplication exponent, a numerical-stability guarantee, or a lower bound.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

Volker Strassen

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

Original sources