1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
|
<!DOCTYPE html>
<html lang="en" data-content_root="./" >
<head>
<meta charset="utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" /><meta name="viewport" content="width=device-width, initial-scale=1" />
<title>Overview — Python 3.24.1 documentation</title>
<script data-cfasync="false">
document.documentElement.dataset.mode = localStorage.getItem("mode") || "";
document.documentElement.dataset.theme = localStorage.getItem("theme") || "";
</script>
<!--
this give us a css class that will be invisible only if js is disabled
-->
<noscript>
<style>
.pst-js-only { display: none !important; }
</style>
</noscript>
<!-- Loaded before other Sphinx assets -->
<link href="_static/styles/theme.css?digest=8878045cc6db502f8baf" rel="stylesheet" />
<link href="_static/styles/pydata-sphinx-theme.css?digest=8878045cc6db502f8baf" rel="stylesheet" />
<link rel="stylesheet" type="text/css" href="_static/pygments.css?v=8f2a1f02" />
<link rel="stylesheet" type="text/css" href="_static/css/slepc.css?v=d285b177" />
<!-- So that users can add custom icons -->
<script src="_static/scripts/fontawesome.js?digest=8878045cc6db502f8baf"></script>
<!-- Pre-loaded scripts that we'll load fully later -->
<link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=8878045cc6db502f8baf" />
<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=8878045cc6db502f8baf" />
<script src="_static/documentation_options.js?v=d1c46438"></script>
<script src="_static/doctools.js?v=9a2dae69"></script>
<script src="_static/sphinx_highlight.js?v=dc90522c"></script>
<script>DOCUMENTATION_OPTIONS.pagename = 'overview';</script>
<link rel="index" title="Index" href="genindex.html" />
<link rel="search" title="Search" href="search.html" />
<link rel="next" title="Tutorial" href="tutorial.html" />
<link rel="prev" title="SLEPc for Python" href="index.html" />
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<meta name="docsearch:language" content="en"/>
<meta name="docsearch:version" content="3.24" />
<meta name="docbuild:last-update" content="2025-11-07T09:28:35+0100 (v3.24.1)"/>
</head>
<body data-bs-spy="scroll" data-bs-target=".bd-toc-nav" data-offset="180" data-bs-root-margin="0px 0px -60%" data-default-mode="">
<div id="pst-skip-link" class="skip-link d-print-none"><a href="#main-content">Skip to main content</a></div>
<div id="pst-scroll-pixel-helper"></div>
<button type="button" class="btn rounded-pill" id="pst-back-to-top">
<i class="fa-solid fa-arrow-up"></i>Back to top</button>
<dialog id="pst-search-dialog">
<form class="bd-search d-flex align-items-center"
action="search.html"
method="get">
<i class="fa-solid fa-magnifying-glass"></i>
<input type="search"
class="form-control"
name="q"
placeholder="Search the docs ..."
aria-label="Search the docs ..."
autocomplete="off"
autocorrect="off"
autocapitalize="off"
spellcheck="false"/>
<span class="search-button__kbd-shortcut"><kbd class="kbd-shortcut__modifier">Ctrl</kbd>+<kbd>K</kbd></span>
</form>
</dialog>
<div class="pst-async-banner-revealer d-none">
<aside id="bd-header-version-warning" class="d-none d-print-none" aria-label="Version warning"></aside>
</div>
<header class="bd-header navbar navbar-expand-lg bd-navbar d-print-none">
<div class="bd-header__inner bd-page-width">
<button class="pst-navbar-icon sidebar-toggle primary-toggle" aria-label="Site navigation">
<span class="fa-solid fa-bars"></span>
</button>
<div class="col-lg-3 navbar-header-items__start">
<div class="navbar-item">
<a class="navbar-brand logo" href="index.html">
<p class="title logo__title">Python 3.24.1 documentation</p>
</a></div>
</div>
<div class="col-lg-9 navbar-header-items">
<div class="me-auto navbar-header-items__center">
<div class="navbar-item">
<nav>
<ul class="bd-navbar-elements navbar-nav">
<li class="nav-item current active">
<a class="nav-link nav-internal" href="#">
Overview
</a>
</li>
<li class="nav-item ">
<a class="nav-link nav-internal" href="tutorial.html">
Tutorial
</a>
</li>
<li class="nav-item ">
<a class="nav-link nav-internal" href="install.html">
Installation
</a>
</li>
<li class="nav-item ">
<a class="nav-link nav-internal" href="citing.html">
Citations
</a>
</li>
<li class="nav-item ">
<a class="nav-link nav-internal" href="reference.html">
Reference
</a>
</li>
<li class="nav-item dropdown">
<button class="btn dropdown-toggle nav-item" type="button"
data-bs-toggle="dropdown" aria-expanded="false"
aria-controls="pst-nav-more-links">
More
</button>
<ul id="pst-nav-more-links" class="dropdown-menu">
<li class=" ">
<a class="nav-link dropdown-item nav-internal" href="demo/demo.html">
slepc4py demos
</a>
</li>
</ul>
</li>
</ul>
</nav></div>
</div>
<div class="navbar-header-items__end">
<div class="navbar-item navbar-persistent--container">
<button class="btn search-button-field search-button__button pst-js-only" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
<i class="fa-solid fa-magnifying-glass"></i>
<span class="search-button__default-text">Search</span>
<span class="search-button__kbd-shortcut"><kbd class="kbd-shortcut__modifier">Ctrl</kbd>+<kbd class="kbd-shortcut__modifier">K</kbd></span>
</button>
</div>
<div class="navbar-item">
<button class="btn btn-sm nav-link pst-navbar-icon theme-switch-button pst-js-only" aria-label="Color mode" data-bs-title="Color mode" data-bs-placement="bottom" data-bs-toggle="tooltip">
<i class="theme-switch fa-solid fa-sun fa-lg" data-mode="light" title="Light"></i>
<i class="theme-switch fa-solid fa-moon fa-lg" data-mode="dark" title="Dark"></i>
<i class="theme-switch fa-solid fa-circle-half-stroke fa-lg" data-mode="auto" title="System Settings"></i>
</button></div>
</div>
</div>
<div class="navbar-persistent--mobile">
<button class="btn search-button-field search-button__button pst-js-only" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
<i class="fa-solid fa-magnifying-glass"></i>
<span class="search-button__default-text">Search</span>
<span class="search-button__kbd-shortcut"><kbd class="kbd-shortcut__modifier">Ctrl</kbd>+<kbd class="kbd-shortcut__modifier">K</kbd></span>
</button>
</div>
<button class="pst-navbar-icon sidebar-toggle secondary-toggle" aria-label="On this page">
<span class="fa-solid fa-outdent"></span>
</button>
</div>
</header>
<div class="bd-container">
<div class="bd-container__inner bd-page-width">
<dialog id="pst-primary-sidebar-modal"></dialog>
<div id="pst-primary-sidebar" class="bd-sidebar-primary bd-sidebar">
<div class="sidebar-header-items sidebar-primary__section">
<div class="sidebar-header-items__center">
<div class="navbar-item">
<nav>
<ul class="bd-navbar-elements navbar-nav">
<li class="nav-item current active">
<a class="nav-link nav-internal" href="#">
Overview
</a>
</li>
<li class="nav-item ">
<a class="nav-link nav-internal" href="tutorial.html">
Tutorial
</a>
</li>
<li class="nav-item ">
<a class="nav-link nav-internal" href="install.html">
Installation
</a>
</li>
<li class="nav-item ">
<a class="nav-link nav-internal" href="citing.html">
Citations
</a>
</li>
<li class="nav-item ">
<a class="nav-link nav-internal" href="reference.html">
Reference
</a>
</li>
<li class="nav-item ">
<a class="nav-link nav-internal" href="demo/demo.html">
slepc4py demos
</a>
</li>
</ul>
</nav></div>
</div>
<div class="sidebar-header-items__end">
<div class="navbar-item">
<button class="btn btn-sm nav-link pst-navbar-icon theme-switch-button pst-js-only" aria-label="Color mode" data-bs-title="Color mode" data-bs-placement="bottom" data-bs-toggle="tooltip">
<i class="theme-switch fa-solid fa-sun fa-lg" data-mode="light" title="Light"></i>
<i class="theme-switch fa-solid fa-moon fa-lg" data-mode="dark" title="Dark"></i>
<i class="theme-switch fa-solid fa-circle-half-stroke fa-lg" data-mode="auto" title="System Settings"></i>
</button></div>
</div>
</div>
<div class="sidebar-primary-items__start sidebar-primary__section">
<div class="sidebar-primary-item">
<nav class="bd-docs-nav bd-links"
aria-label="Section Navigation">
<p class="bd-links__title" role="heading" aria-level="1">Section Navigation</p>
<div class="bd-toc-item navbar-nav"></div>
</nav></div>
</div>
<div class="sidebar-primary-items__end sidebar-primary__section">
<div class="sidebar-primary-item">
<div id="ethical-ad-placement"
class="flat"
data-ea-publisher="readthedocs"
data-ea-type="readthedocs-sidebar"
data-ea-manual="true">
</div></div>
</div>
</div>
<main id="main-content" class="bd-main" role="main">
<div class="bd-content">
<div class="bd-article-container">
<div class="bd-header-article d-print-none">
<div class="header-article-items header-article__inner">
<div class="header-article-items__start">
<div class="header-article-item">
<nav aria-label="Breadcrumb" class="d-print-none">
<ul class="bd-breadcrumbs">
<li class="breadcrumb-item breadcrumb-home">
<a href="index.html" class="nav-link" aria-label="Home">
<i class="fa-solid fa-home"></i>
</a>
</li>
<li class="breadcrumb-item active" aria-current="page"><span class="ellipsis">Overview</span></li>
</ul>
</nav>
</div>
</div>
</div>
</div>
<div id="searchbox"></div>
<article class="bd-article">
<section id="overview">
<h1>Overview<a class="headerlink" href="#overview" title="Link to this heading">#</a></h1>
<p><em>SLEPc for Python</em> (slepc4py) is a Python package that provides
convenient access to the functionality of SLEPc.</p>
<p>SLEPc <a class="footnote-reference brackets" href="#id3" id="id1" role="doc-noteref"><span class="fn-bracket">[</span>1<span class="fn-bracket">]</span></a>, <a class="footnote-reference brackets" href="#id4" id="id2" role="doc-noteref"><span class="fn-bracket">[</span>2<span class="fn-bracket">]</span></a> implements algorithms and tools for the numerical
solution of large, sparse eigenvalue problems on parallel
computers. It can be used for linear eigenvalue problems in either
standard or generalized form, with real or complex arithmetic.
It can also be used for computing a partial SVD of a large, sparse,
rectangular matrix, and to solve nonlinear eigenvalue problems
(polynomial or general). Additionally, SLEPc provides solvers for
the computation of the action of a matrix function on a vector.</p>
<p>SLEPc is intended for computing a subset of the spectrum of a matrix
(or matrix pair). One can for instance approximate the largest
magnitude eigenvalues, or the smallest ones, or even those eigenvalues
located near a given region of the complex plane. Interior eigenvalues
are harder to compute, so SLEPc provides different methodologies. One
such method is to use a spectral transformation. Cheaper alternatives
are also available.</p>
<aside class="footnote-list brackets">
<aside class="footnote brackets" id="id3" role="doc-footnote">
<span class="label"><span class="fn-bracket">[</span><a role="doc-backlink" href="#id1">1</a><span class="fn-bracket">]</span></span>
<p>J. E. Roman, C. Campos, L. Dalcin, E. Romero, A. Tomas.
SLEPc Users Manual. DSIC-II/24/02 - Revision 3.24.
D. Sistemas Informaticos y Computacion, Universitat Politecnica de
Valencia. 2025.</p>
</aside>
<aside class="footnote brackets" id="id4" role="doc-footnote">
<span class="label"><span class="fn-bracket">[</span><a role="doc-backlink" href="#id2">2</a><span class="fn-bracket">]</span></span>
<p>Vicente Hernandez, Jose E. Roman and Vicente Vidal.
SLEPc: A Scalable and Flexible Toolkit for the Solution of
Eigenvalue Problems, ACM Trans. Math. Softw. 31(3), pp. 351-362,
2005.</p>
</aside>
</aside>
<section id="features">
<h2>Features<a class="headerlink" href="#features" title="Link to this heading">#</a></h2>
<p>Currently, the following types of eigenproblems can be addressed:</p>
<ul class="simple">
<li><p>Standard eigenvalue problem, <em>Ax=kx</em>, either for Hermitian or
non-Hermitian matrices.</p></li>
<li><p>Generalized eigenvalue problem, <em>Ax=kBx</em>, either Hermitian
positive-definite or not.</p></li>
<li><p>Partial singular value decomposition of a rectangular matrix,
<em>Au=sv</em>.</p></li>
<li><p>Polynomial eigenvalue problem, <em>P(k)x=0</em>.</p></li>
<li><p>Nonlinear eigenvalue problem, <em>T(k)x=0</em>.</p></li>
<li><p>Computing the action of a matrix function on a vector, <em>w=f(alpha A)v</em>.</p></li>
</ul>
<p>For the linear eigenvalue problem, the following methods are available:</p>
<ul class="simple">
<li><p>Krylov eigensolvers, particularly Krylov-Schur, Arnoldi, and
Lanczos.</p></li>
<li><p>Davidson-type eigensolvers, including Generalized Davidson and
Jacobi-Davidson.</p></li>
<li><p>Subspace iteration and single vector iterations (inverse iteration,
RQI).</p></li>
<li><p>Conjugate gradient for the minimization of the Rayleigh quotient.</p></li>
<li><p>A contour integral solver.</p></li>
</ul>
<p>For singular value computations, the following alternatives can be
used:</p>
<ul class="simple">
<li><p>Use an eigensolver via the cross-product matrix <em>A’A</em> or the cyclic
matrix <em>[0 A; A’ 0]</em>.</p></li>
<li><p>Explicitly restarted Lanczos bidiagonalization.</p></li>
<li><p>Implicitly restarted Lanczos bidiagonalization (thick-restart
Lanczos).</p></li>
</ul>
<p>For polynomial eigenvalue problems, the following methods are available:</p>
<ul class="simple">
<li><p>Use an eigensolver to solve the generalized eigenvalue problem
obtained after linearization.</p></li>
<li><p>TOAR and Q-Arnoldi, memory efficient variants of Arnoldi for polynomial
eigenproblems.</p></li>
</ul>
<p>For general nonlinear eigenvalue problems, the following methods can be used:</p>
<ul class="simple">
<li><p>Solve a polynomial eigenproblem obtained via polynomial interpolation.</p></li>
<li><p>Rational interpolation and linearization (NLEIGS).</p></li>
<li><p>Newton-type methods such as SLP or RII.</p></li>
</ul>
<p>Computation of interior eigenvalues is supported by means of the
following methodologies:</p>
<ul class="simple">
<li><p>Spectral transformations, such as shift-and-invert. This technique
implicitly uses the inverse of the shifted matrix <em>(A-tI)</em> in order
to compute eigenvalues closest to a given target value, <em>t</em>.</p></li>
<li><p>Harmonic extraction, a cheap alternative to shift-and-invert that
also tries to approximate eigenvalues closest to a target, <em>t</em>, but
without requiring a matrix inversion.</p></li>
</ul>
<p>Other remarkable features include:</p>
<ul class="simple">
<li><p>High computational efficiency, by using NumPy and SLEPc under the
hood.</p></li>
<li><p>Data-structure neutral implementation, by using efficient sparse
matrix storage provided by PETSc. Implicit matrix representation is
also available by providing basic operations such as matrix-vector
products as user-defined Python functions.</p></li>
<li><p>Run-time flexibility, by specifying numerous setting at the command
line.</p></li>
<li><p>Ability to do the computation in parallel.</p></li>
</ul>
</section>
<section id="components">
<h2>Components<a class="headerlink" href="#components" title="Link to this heading">#</a></h2>
<p>SLEPc provides the following components, which are mirrored by slepc4py
for its use from Python. The first five components are solvers for
different classes of problems, while the rest can be considered
auxiliary object.</p>
<dl class="field-list simple">
<dt class="field-odd">EPS<span class="colon">:</span></dt>
<dd class="field-odd"><p>The Eigenvalue Problem Solver is the component that provides all
the functionality necessary to define and solve an
eigenproblem. It provides mechanisms for completely specifying
the problem: the problem type (e.g. standard symmetric), number
of eigenvalues to compute, part of the spectrum of
interest. Once the problem has been defined, a collection of
solvers can be used to compute the required solutions. The
behavior of the solvers can be tuned by means of a few
parameters, such as the maximum dimension of the subspace to be
used during the computation.</p>
</dd>
<dt class="field-even">SVD<span class="colon">:</span></dt>
<dd class="field-even"><p>This component is the analog of EPS for the case of Singular
Value Decompositions. The user provides a rectangular matrix and
specifies how many singular values and vectors are to be
computed, whether the largest or smallest ones, as well as some
other parameters for fine tuning the computation. Different
solvers are available, as in the case of EPS.</p>
</dd>
<dt class="field-odd">PEP<span class="colon">:</span></dt>
<dd class="field-odd"><p>This component is the analog of EPS for the case of Polynomial
Eigenvalue Problems. The user provides the coefficient matrices of
the polynomial. Several parameters can be specified, as in
the case of EPS. It is also possible to indicate whether the
problem belongs to a special type, e.g., symmetric or gyroscopic.</p>
</dd>
<dt class="field-even">NEP<span class="colon">:</span></dt>
<dd class="field-even"><p>This component covers the case of general nonlinear eigenproblems,
T(lambda)x=0. The user provides the parameter-dependent matrix T
via the split form or by means of callback functions.</p>
</dd>
<dt class="field-odd">MFN<span class="colon">:</span></dt>
<dd class="field-odd"><p>This component provides the functionality for computing the action
of a matrix function on a vector. Given a matrix A and a vector b,
the call MFNSolve(mfn,b,x) computes x=f(A)b, where f is a function
such as the exponential.</p>
</dd>
<dt class="field-even">LME<span class="colon">:</span></dt>
<dd class="field-even"><p>This component provides the functionality for solving linear matrix
equations such as Lyapunov or Sylvester where the solution has low
rank.</p>
</dd>
<dt class="field-odd">ST<span class="colon">:</span></dt>
<dd class="field-odd"><p>The Spectral Transformation is a component that provides
convenient implementations of common spectral
transformations. These are simple transformations that map
eigenvalues to different positions, in such a way that
convergence to wanted eigenvalues is enhanced. The most common
spectral transformation is shift-and-invert, that allows for the
computation of eigenvalues closest to a given target value.</p>
</dd>
<dt class="field-even">BV<span class="colon">:</span></dt>
<dd class="field-even"><p>This component encapsulates the concept of a set of Basis Vectors
spanning a vector space. This component provides convenient access
to common operations such as orthogonalization of vectors. The
BV component is usually not required by end-users.</p>
</dd>
<dt class="field-odd">DS<span class="colon">:</span></dt>
<dd class="field-odd"><p>The Dense System (or Direct Solver) component, used internally to
solve dense eigenproblems of small size that appear in the course
of iterative eigensolvers.</p>
</dd>
<dt class="field-even">FN<span class="colon">:</span></dt>
<dd class="field-even"><p>A component used to define mathematical functions. This is required
by the end-user for instance to define function T(.) when solving
nonlinear eigenproblems with NEP in split form.</p>
</dd>
<dt class="field-odd">RG<span class="colon">:</span></dt>
<dd class="field-odd"><p>A component used to define a region of the complex plane such as an
ellipse or a rectangle. This is required by end-users in some cases
such as contour-integral eigensolvers.</p>
</dd>
</dl>
<p>In addition to the above components, some extra functionality is provided
in the :Sys: and :Util: sections.</p>
</section>
</section>
</article>
<footer class="prev-next-footer d-print-none">
<div class="prev-next-area">
<a class="left-prev"
href="index.html"
title="previous page">
<i class="fa-solid fa-angle-left"></i>
<div class="prev-next-info">
<p class="prev-next-subtitle">previous</p>
<p class="prev-next-title">SLEPc for Python</p>
</div>
</a>
<a class="right-next"
href="tutorial.html"
title="next page">
<div class="prev-next-info">
<p class="prev-next-subtitle">next</p>
<p class="prev-next-title">Tutorial</p>
</div>
<i class="fa-solid fa-angle-right"></i>
</a>
</div>
</footer>
</div>
<dialog id="pst-secondary-sidebar-modal"></dialog>
<div id="pst-secondary-sidebar" class="bd-sidebar-secondary bd-toc"><div class="sidebar-secondary-items sidebar-secondary__inner">
<div class="sidebar-secondary-item">
<div
id="pst-page-navigation-heading-2"
class="page-toc tocsection onthispage">
<i class="fa-solid fa-list"></i> On this page
</div>
<nav class="bd-toc-nav page-toc" aria-labelledby="pst-page-navigation-heading-2">
<ul class="visible nav section-nav flex-column">
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#features">Features</a></li>
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#components">Components</a></li>
</ul>
</nav></div>
<div class="sidebar-secondary-item">
<div role="note" aria-label="source link">
<h3>This Page</h3>
<ul class="this-page-menu">
<li><a href="_sources/overview.rst.txt"
rel="nofollow">Show Source</a></li>
</ul>
</div></div>
</div></div>
</div>
<footer class="bd-footer-content">
</footer>
</main>
</div>
</div>
<!-- Scripts loaded after <body> so the DOM is not blocked -->
<script defer src="_static/scripts/bootstrap.js?digest=8878045cc6db502f8baf"></script>
<script defer src="_static/scripts/pydata-sphinx-theme.js?digest=8878045cc6db502f8baf"></script>
<footer class="bd-footer">
<div class="bd-footer__inner bd-page-width">
<div class="footer-items__start">
<div class="footer-item">
<p class="sphinx-version">
Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 7.3.7.
<br/>
</p>
</div>
</div>
<div class="footer-items__end">
<div class="footer-item">
<p class="theme-version">
<!-- # L10n: Setting the PST URL as an argument as this does not need to be localized -->
Built with the <a href="https://pydata-sphinx-theme.readthedocs.io/en/stable/index.html">PyData Sphinx Theme</a> 0.16.1.
</p></div>
<div class="footer-item"><p class="last-updated">
Last updated on 2025-11-07T09:28:35+0100 (v3.24.1).
<br/>
</p></div>
</div>
</div>
</footer>
</body>
</html>
|
