Last Updated
：2025/12/06
bisection method
Noun
(mathematics)
A
root-finding
method
that
applies
to
any
continuous
functions
for
which
one
knows
two
values
with
opposite
signs,
and
consists
of
repeatedly
bisecting
the
interval
defined
by
these
values
and
then
selecting
the
subinterval
in
which
the
function
changes
sign,
and
therefore
must
contain
a
root.
Japanese Meaning
（数学）連続関数において、符号が異なる2点をもとに、その間の区間を反復的に半分に分割し、符号が変わる部分を選ぶことで、根（解）を求める手法。 / または、二分法とも呼ばれ、方程式の解（根）を探索するための基本的な数値計算手法。
Sense（1）
(mathematics)
A
root-finding
method
that
applies
to
any
continuous
functions
for
which
one
knows
two
values
with
opposite
signs,
and
consists
of
repeatedly
bisecting
the
interval
defined
by
these
values
and
then
selecting
the
subinterval
in
which
the
function
changes
sign,
and
therefore
must
contain
a
root.
（ plural ）
Quizzes for review
(mathematics) A root-finding method that applies to any continuous functions for which one knows two values with opposite signs, and consists of repeatedly bisecting the interval defined by these values and then selecting the subinterval in which the function changes sign, and therefore must contain a root.
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See correct answer
bisection method
When solving nonlinear equations numerically, the bisection method reliably converges to a root provided the initial interval endpoints have opposite signs.
See correct answer
When solving nonlinear equations numerically, the bisection method reliably converges to a root provided the initial interval endpoints have opposite signs.
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