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gb
gb.args
gb.cairo
gb.chart
gb.clipper
gb.complex
gb.compress
gb.crypt
gb.data
gb.db
gb.db.form
gb.db.mysql
gb.db.odbc
gb.db.postgresql
gb.db.sqlite2
gb.db.sqlite3
gb.dbus
gb.dbus.trayicon
gb.debug
gb.desktop
gb.desktop.x11
gb.eval
gb.eval.highlight
gb.form
gb.form.dialog
gb.form.editor
gb.form.htmlview
gb.form.mdi
gb.form.print
gb.form.terminal
gb.gmp
gb.gsl
Complex
Float[]
Gsl
Matrix
Polynomial
Vector
gb.gtk
gb.gtk3
gb.gtk3.opengl
gb.gtk3.webview
gb.gui
gb.gui.qt
gb.gui.qt.ext
gb.gui.trayicon
gb.gui.webview
gb.hash
gb.highlight
gb.image
gb.image.effect
gb.image.io
gb.inotify
gb.logging
gb.map
gb.media
gb.media.form
gb.mime
gb.mysql
gb.ncurses
gb.net
gb.net.curl
gb.net.pop3
gb.net.smtp
gb.opengl
gb.opengl.glsl
gb.opengl.glu
gb.opengl.sge
gb.openssl
gb.option
gb.pcre
gb.pdf
gb.poppler
gb.qt4
gb.qt4.ext
gb.qt4.opengl
gb.qt4.webkit
gb.qt4.webview
gb.qt5
gb.qt5.ext
gb.qt5.opengl
gb.qt5.webview
gb.qt6
gb.qt6.ext
gb.qt6.opengl
gb.qt6.webview
gb.report
gb.report2
gb.sdl
gb.sdl2
gb.sdl2.audio
gb.settings
gb.signal
gb.term
gb.test
gb.util
gb.util.web
gb.v4l
gb.vb
gb.web
gb.web.feed
gb.web.form
gb.web.gui
gb.xml
gb.xml.html
gb.xml.rpc
gb.xml.xslt
最近的修改

Polynomial.Solve (gb.gsl)

Function Solve ( [ Complex As Boolean ] ) As Array

Return the polynomial roots, i.e. solve the following equation: P(x) = 0, provided that the polynomial coefficient are reals.

  • If Complex is TRUE, then all complex roots are returned.

  • If Complex is FALSE, then only the real roots are returned.

If no root is found, then a void array is returned.

If the polynomial has one of the following forms:
  • x^3 + a*x^2 + b*x + c = 0

  • a*x^2 + b*x + c = 0

Then the algorithm will be as exact as possible.

Otherwise, a approximative algorithm will be used, that may not converge. In that case, an error is raised.

The case of coincident roots is not considered special. For example, the equation (x-1)^3 = 0 will have three roots with exactly equal values.