What question did this study set out to answer?

To present a portable Fortran subprogram capable of computing the Euclidean norm of an n-dimensional vector without encountering floating-point overflow or underflow.

March 1, 1978ACM Transactions on Mathematical SoftwareOpen Access

A Portable Fortran Program to Find the Euclidean Norm of a Vector

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Authors

JBJames L. BlueNational Institute of Standards and Technology

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Implication

Software implementation demonstrates robust Euclidean norm calculation in Fortran, highlighting strategies to prevent numerical overflow and underflow.

Key Points

To present a portable Fortran subprogram capable of computing the Euclidean norm of an n-dimensional vector without encountering floating-point overflow or underflow.
Designed an algorithm in portable Fortran to evaluate the Euclidean norm of an n-vector.
Applied intermediate scaling arithmetic to protect calculations against numerical overflow and underflow.
Successfully developed a machine-independent Fortran program that calculates vector Euclidean norms.
Prevented calculation failures caused by out-of-range intermediate values during vector magnitude computation.

Cite This Study

James L. Blue (1978) studied this question.

synapsesocial.com/papers/6a1709da2fcf950e00059504 https://doi.org/10.1145/355769.355771

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Implication

Software implementation demonstrates robust Euclidean norm calculation in Fortran, highlighting strategies to prevent numerical overflow and underflow.

A Portable Fortran Program to Find the Euclidean Norm of a Vector

Discussion

Member takes

Implication

Key Points

Cite This Study

A Portable Fortran Program to Find the Euclidean Norm of a Vector

Discussion

Member takes

Implication

Key Points

Cite This Study

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