diag_ext

Internal function to generate diagonal matrices with possibly an offset with possibly mirrored diagonal

An R implementation of Matthew Thomas's 'Python' library 'inteq'. First, this solves Fredholm integral equations of the first kind ($f(s) = \int_a^b K(s, y) g(y) dy$) using methods described by Twomey (1963) <doi:10.1145/321150.321157>. Second, this solves Volterra integral equations of the first kind ($f(s) = \int_0^s K(s,y) g(t) dt$) using methods from Betto and Thomas (2021) <doi:10.48550/arXiv.2106.08496>. Third, this solves Voltera integral equations of the second kind ($g(s) = f(s) + \int_a^s K(s,y) g(y) dy$) using methods from Linz (1969) <doi:10.1137/0706034>.

Mark Clements

inteq

Numerical Solution of Integral Equations

Aaron Jehle

Matthew Thomas

diag_ext function

<dl><dt>x</dt>
<dd>vector</dd>
<dt>index</dt>
<dd>integer offset index for the diagonal (can be negative)</dd>
<dt>mirror</dt>
<dd>logical for whether to mirror at the diagonal</dd></dl>

Arguments

Internal function to generate diagonal matrices with possibly an offset with possibly mirrored diagonal — diag_ext

<dl>

<dt>x</dt>
<dd>vector</dd>


<dt>index</dt>
<dd>integer offset index for the diagonal (can be negative)</dd>


<dt>mirror</dt>
<dd>logical for whether to mirror at the diagonal</dd>

</dl>

diag_ext: Internal function to generate diagonal matrices with possibly an offset with possibly mirrored diagonal

Description

Usage

Value

Arguments