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matmult

(MPFR) Matrix (Vector) Multiplication

Description

Matrix / vector multiplication of mpfr (and “simple” numeric) matrices and vectors.

matmult (x,y, fPrec = 2) or crossprod(x,y, fPrec = 2) use higher precision in underlying computations.

Usage

matmult(x, y, ...)

Arguments

x, y

numeric or mpfrMatrix-classed R objects, i.e. semantically numeric matrices or vectors.
...

arguments passed to the hidden underlying .matmult.R() work horse which is also underlying the %*%, crossprod(), and tcrossprod() methods, see the mpfrMatrix class documentation:

fPrec

a multiplication factor, a positive number determining the number of bits precBits used for the underlying multiplication and summation arithmetic. The default is fPrec = 1. Setting fPrec = 2 doubles the precision which has been recommended, e.g., by John Nash.

precBits

the number of bits used for the underlying multiplication and summation arithmetic; by default precBits = fPrec * max(getPrec(x), getPrec(y)) which typically uses the same accuracy as regular mpfr-arithmetic would use.

Value

a (base R) matrix or mpfrMatrix, depending on the classes of x and y.

Note

Using matmult(x,y) instead of x %*% y, makes sense mainly if you use non-default fPrec or precBits arguments.

The crossprod(), and tcrossprod() function have the identical optional arguments fPrec or precBits.

Author(s)

Martin Maechler

See Also

Examples

## FIXME: add example

## 1)  matmult()  <-->  %*%

## 2)  crossprod() , tcrossprod()  %% <--> ./mpfrMatrix-class.Rd  examples  (!)
Rmpfr

R MPFR - Multiple Precision Floating-Point Reliable

v0.8-4
GPL (>= 2)
Authors
Martin Maechler [aut, cre] (<https://orcid.org/0000-0002-8685-9910>), Richard M. Heiberger [ctb] (formatHex(), *Bin, *Dec), John C. Nash [ctb] (hjkMpfr(), origin of unirootR()), Hans W. Borchers [ctb] (optimizeR(*, "GoldenRatio"); origin of hjkMpfr())
Initial release
2021-04-08

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