The command UpdatePrecision(p,d) increases the precision of p so that this precision equals at least d. This is achieved by repeated calls to the generator of p.

The command UpdatePrecision(u,d) increases the precision of each power series coefficient of u so that this precision equals at least d.

When using the MultivariatePowerSeries package, do not assign anything to the variables occurring in the power series, Puiseux series, and univariate polynomials over these series. If you do, you may see invalid results.

$\mathrm{with}\left(\mathrm{MultivariatePowerSeries}\right)\:$

$p≔\frac{1}{\mathrm{PowerSeries}\left(1+x\right)}$

$p≔\left[\mathrm{Pow\ⅇrS\ⅇri\ⅇs\; of}\frac{1}{1+x}\mathrm{:}1+\mathrm{\dots }\right]$

$\mathrm{Precision}\left(p\right)$

$0$

$\mathrm{UpdatePrecision}\left(p\,10\right)$

$\left[\mathrm{Pow\ⅇrS\ⅇri\ⅇs\; of}\frac{1}{1+x}\mathrm{:}1-x+x^2-x^3+x^4-x^5+x^6-x^7+x^8-x^9+x^{10}+\mathrm{\dots }\right]$

$\mathrm{Precision}\left(p\right)$

$10$

$q≔\mathrm{GeometricSeries}\left(\left[x\,y\right]\right)$

$q≔\left[\mathrm{Pow\ⅇrS\ⅇri\ⅇs\; of}\frac{1}{1-x-y}\mathrm{:}1+x+y+\mathrm{\dots }\right]$

$f≔\mathrm{UnivariatePolynomialOverPowerSeries}\left(\left[q\,p\right]\,z\right)$

$f≔\left[\mathrm{Univariat\ⅇPolynomialOv\ⅇrPow\ⅇrS\ⅇri\ⅇs:}\left(1+x+y+\mathrm{\dots }\right)\mathrm{+}\left(1-x+x^2-x^3+x^4-x^5+x^6-x^7+x^8-x^9+x^{10}+\mathrm{\dots }\right)z\right]$

$\mathrm{Precision}\left(q\right)$

$1$

$\mathrm{UpdatePrecision}\left(f\,8\right)$

$\left[\mathrm{Univariat\ⅇPolynomialOv\ⅇrPow\ⅇrS\ⅇri\ⅇs:}\left(1+x+y+x^2+2xy+y^2+x^3+3x^{2}y+3x{y}^2+y^3+x^4+4x^{3}y+6x^2{y}^2+4x{y}^3+y^4+x^5+5x^{4}y+10x^3{y}^2+10x^2{y}^3+5x{y}^4+y^5+x^6+6x^{5}y+15x^4{y}^2+20x^3{y}^3+15x^2{y}^4+6x{y}^5+y^6+x^7+7x^{6}y+21x^5{y}^2+35x^4{y}^3+35x^3{y}^4+21x^2{y}^5+7x{y}^6+y^7+x^8+8x^{7}y+28x^6{y}^2+56x^5{y}^3+70x^4{y}^4+56x^3{y}^5+28x^2{y}^6+8x{y}^7+y^8+\mathrm{\dots }\right)\mathrm{+}\left(1-x+x^2-x^3+x^4+\mathrm{\dots }\right)z\right]$

$\mathrm{Precision}\left(q\right)$

$8$

$\mathrm{Precision}\left(p\right)$

$10$

The MultivariatePowerSeries[UpdatePrecision] command was introduced in Maple 2021.

For more information on Maple 2021 changes, see Updates in Maple 2021.